9514 1404 393
Answer:
52.5 in²52.5 in²76.97 in²total: 181.97 in²Step-by-step explanation:
1, 2. The area of each triangle is given by the formula ...
A = (1/2)bh . . . . . for base b and height h
The area of the given triangle is ...
A = (1/2)(7 in)(15 in) = 105/2 in² = 52.5 in²
Triangles 1 and 2 have the same dimensions, so have the same area.
Figure 1 area: 52.5 in²
Figure 2 area: 52.5 in²
__
3. The area of the semicircle is given by the formula ...
A = (1/2)πr² . . . . for a semicircle of radius r
This semicircle has a radius of 7 in, so an area of ...
A = (1/2)(3.1416)(7 in)² ≈ 76.97 in²
Figure 3 area: 76.97 in²
__
The total area is the sum of these:
52.5 in² + 52.5 in² +76.97 in² = 181.97 in²
Composite Figure area: 181.97 in²
_____
Comment on decimal digits
We cannot tell your rounding requirements. Here, we have rounded to the nearest hundredth. If you use the value 3.14 for pi, then your areas for the semicircle and composite figure will end in .93, not .97.
A rectangle with an area of 24 square inches is formed by cutting strips of equal width from a rectangular piece of paper. Find the dimensions of the new rectangle if the original rectangle measures 8 inches by 6 inches.
Answer: 4 inches by 6 inches or 8 inches by 3 inches.
Step-by-step explanation:
The area of a rectangle is A = W*L
where L is the width and L is the lenght.
Now, the original rectangle has a measure of 8 in by 6 in.
if 8in is the lenght and 6 in is the width.
We want to divide only one of those measures in equal parts, such that when we take the product of the end results is equal to 24 in.
If we divide the lenght by half (so both parts will have the same width as this did not change), we now have that the lenght is 8in/2 = 4in and the width is 6in.
Now the area is 4in*6in = 24in, which is the area that we where looking for.
We also could cut the width in half, and get the dimensions 8 inches by 3 inches.
What is the equation of the line that passes through points (2, −6) and (−4, 3)?
Answer:
y = -3/2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Step 1: Find slope m
\(m=\frac{3-(-6)}{-4-2}\)
\(m=\frac{3+6}{-6}\)
\(m=\frac{9}{-6}\)
\(m=\frac{-3}{2}\)
y = -3/2x + b
Step 2: Find y-intercept b
3 = -3/2(-4) + b
3 = 6 + b
b = -3
Step 3: Rewrite linear equation
y = -3/2x - 3
Answer:
y = -1.5x - 3
Step-by-step explanation:
Find the slope using rise over run, (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 + 6) / (-4 - 2)
9 / -6
3/-2 or -1.5
Then, plug in the slope and a point into y = mx + b to find b:
y = mx + b
-6 = -1.5(2) + b
-6 = -3 + b
-3 = b
Plug in the slope and b into y = mx + b
y = -1.5x - 3 is the equation
I need the answer to this.
Answer:
-0.0555 repeating
Step-by-step explanation:
Hey there!
4/3 ÷ -24
= 4/3 ÷ -24/1
= 4/3 ÷ 1/-24
= 4(1) / 3(-24)
= 4 / -72
= 4 ÷ 4 / -72 ÷ 4
= - 1 / 18
≈ -0.055556
Therefore, your answer is: -1/18
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
if you know the LPM of 4 and 5 how Rould You And the ICM of 40 and 50?
Answer:
let me help
Step-by-step explanation:
lpm is just like lcm so if u add them then subtract u will get 9 i think
Answer:
Multiply LCM of 4 and 5 by 10 to get LCM of 40 and 50
Step-by-step explanation:
Just multiply the LCM of 4 and 5 by 10
because
40 = 10 x 4 and 50 = 10 x 5 and 10 is common
Consider the right triangle below.
6x - 44
2x - 20
3x + 24
If the perimeter of the triangle is 224 cm, find the area of the triangle.
The area of the triangle is
cm
Answer:
Area = 1,344 cm²
Step-by-step explanation:
First, find the value of x and the numerical side length of all sides of the triangle before finding the area.
Thus:
Perimeter of a triangle = sum of all its side
Therefore,
(6x - 44) + (2x - 20) + (3x + 24) = 224
Solve for x
6x - 44 + 2x - 20 + 3x + 24 = 224
Add like terms
11x - 40 = 224
Add 40 to both sides
11x = 224 + 40
11x = 264
Divide both sides by 11
x = 24
Find the measurement of each side length by plugging in the value of x:
Hypotenuse = 6x - 44 = 6(24) - 44 = 100 cm
Height = 2x - 20 = 2(24) - 20 = 28 cm
Base = 3x + 24 = 3(24) + 24 = 96 cm
Find the area:
Area = ½×base×height
Plug in the values
= ½×96×28
Area = 1,344 cm²
. Does the model represent asexual or sexual reproduction?
Answer:
excusme where is the model
Step-by-step explanation:
Answer:
The first one
because there is only one parent is the photo that i'm looking at
PLEASE HELP DRAW WHERE THE DOT GO ON THE IMAGE PLEASE
Answer:
Step-by-step explanation:
If θ is in Quadrant II and sin^2 θ = 3/4, evaluate tanθ. In your final answer, include an explanation of the solution.
Answer:
below
Step-by-step explanation:
In Q II recall that cos is negative....this will affect the final answer...
sin^2 + cos^2 =1
3/4 ^2 cos^2 = 1
1 - 3/4 ^2 = cos ^2
1 - 9/16 = cos ^2
7/16 = cos ^2
±sqrt (7) / 4 = cos in Q II it is negative - sqrt(7) / 4
Joe deposited $2,000 into his savings account. The bank has a rate of 7% interest per year. How much interest did he earn in 5 years?
Answer:
Joe earned $700 in interest in 5 years
Step-by-step explanation:
To calculate the interest earned by Joe in 5 years at a rate of 7% per year, we can use the simple interest formula:
Interest = Principal x Rate x Time
Where:
Principal is the initial amount deposited, which is $2,000 in this case
Rate is the interest rate per year, which is 7%
Time is the number of years, which is 5 years in this case
Plugging in the values, we get:
Interest = $2,000 x 0.07 x 5
Interest = $700
Therefore, Joe earned $700 in interest in 5 years.
Robert tutors two students, Andy and Susie. Andy pays Robert $70 per month. Susie pays Robert $50 per month. How many months will Robert have to tutor before he earns $600?
Which of the following is the equation for a circle with a radius of rand center
at (h, k)?
OA. ²² +²2² =2²
OB. (x-h)2+(y- k)² = ²2
OC. (x+ h)2 + (y+ k)² = 12
OD. (x-4)² + (v-h)² = ₁²
K
SUBMIT
The equation for a circle with a radius of r and center at (h, k) is given by \((x - h)^2 + (y - k)^2 = r^2\).The correct answer is option B.
In this equation, (x, y) represents any point on the circle's circumference. The center of the circle is denoted by (h, k), which specifies the horizontal and vertical positions of the center point.
The radius, r, represents the distance from the center to any point on the circle's circumference.
This equation is derived from the Pythagorean theorem. By considering a right triangle formed between the center of the circle, a point on the circumference, and the x or y-axis, we can determine the relationship between the coordinates (x, y), the center (h, k), and the radius r.
The lengths of the triangle's sides are (x - h) for the horizontal distance, (y - k) for the vertical distance, and r for the hypotenuse, which is the radius.
By squaring both sides of the equation, we eliminate the square root operation, resulting in the standard form of the equation for a circle.
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If measure of angle 3 = 74° find each measure NEED HELP ASAP
Im bad at money :/ do please help me
The third answer
1 quarter, 6 dimes, 1 nickel, 7 pennies
The length and width of a rectangle are consecutive integers. The area of the rectangle is 380 square meters. Find the length and width of the rectangle.
Answer:
19x20
Step-by-step explanation:
The area of a rectangle is given by the formula A = l * w, where l is the length and w is the width of the rectangle. In this case, we are given that the area of the rectangle is 380 square meters and that the length and width of the rectangle are consecutive integers.
We can use this information to create a system of equations to solve for the length and width of the rectangle. Let l be the length of the rectangle and w be the width of the rectangle. Since the length and width of the rectangle are consecutive integers, we have:
l = w + 1
Substituting this equation into the formula for the area of the rectangle, we get:
A = l * w
= (w + 1) * w
= w² + w
Since the area of the rectangle is given as 380 square meters, we can set this equation equal to 380 and solve for w:
w² + w = 380
To solve for w, we can use the quadratic formula, which is given by:
x = (-b ± √(b² - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation, and x is the solution. Substituting the values of a, b, and c into the formula and simplifying, we get:
w = (-1 ± √(1² - 4(1)(380))) / (2(1))
= (-1 ± √(-1519)) / 2
Since the length and width of the rectangle must be positive integers, we can ignore the negative solution and only consider the positive solution. Therefore, the width of the rectangle is 19.
To find the length of the rectangle, we can use the equation l = w + 1 that we derived earlier. Substituting the value of w into this equation, we get:
l = w + 1
= 19 + 1
= 20
Therefore, the length of the rectangle is 20 and the width of the rectangle is 19. The dimensions of the rectangle are 20 x 19.
7. There are 80 houses in a neighborhood.
• Company X provides electricity to one eighth of the
houses.
• Company Y provides electricity to two fifths of the
houses.
Company Z provides electricity to the
remaining houses.
In this neighborhood, Company Z provides electricity
to how many houses?
Answer:
j is the answer because 1/8 of the houses is 5 2/5 of 40 is 16 and 16 +5 =21 40-21 =19
Step-by-step explanation: There are 80 houses in a neighborhood.
• Company X provides electricity to one eighth of the
houses.
• Company Y provides electricity to two fifths of the
houses.
Company Z provides electricity to the
remaining houses.
In this neighborhood, Company Z provides electricity
to how many houses?
I'll give the right answer brainliest hh. I would put all my questions in one question but for some reason brainly wont let me put more than one photo, if your interested I have 5 in total
Answer:
Picture is not clear please post a clear picture. Note brainly is meant to be one question per post for further reference
How many solutions does the system of equations below have?
y = 8x - 7
y = 8x + 4/5
no solution
one solution
infinitely many solutions
Answer: No Solution
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.
However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.
7 can never equal 4/5, so there is no solution :)
What the answer. ? Please no links
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
8.5 + 4.5 > 3rd side ∴ 3rd side must be less than 13 feet
4.5 + 3rd side > 8.5 ∴ 3rd side must be greater than 4 feet
someone please help me please
Answer:
D
Step-by-step explanation:
I tried all the other equations by plugging in numbers and disproving their accuracy. D was the only one that worked.
Bill built a rectangular pen in his yard that measures feet by 6 feet. He wants to make another pen that is similar but not congruent to the one he built. Which these rectangles is similar?
Trent and Vivian go to the basketball court at the park for 45 minutes after school to practice shooting free throws. Each person shoots for an equal amount of time, while the other person rebounds the ball. How long does each person shoot free throws? Write your answer as a proper fraction or mixed number.
Answer:
22¹/₂ minutes
Step-by-step explanation:
If Trent and Vivian go to the basketball court at the park for 45 minutes after school to practice shooting free throws, the total time it takes for the both of them to shoot free throws is 45 minutes.
Let the amount of time Trent and Vivian shoot the free throws be t₁ and t₂ respectively.
Since they both throw at equal times, t₁ = t₂ = t.
Now t₁ + t₂ = 45 the total time it takes to shoot the free throws.
Since, t₁ = t₂ = t.
t₁ + t₂ = 45
substituting t into the equation, we have
t + t = 45
adding the t's, we have
2t = 45
dividing both sides by 2, we have
t = 45/2
t = 22¹/₂ minutes
So, it takes each person 22¹/₂ minutes to shoot free throws.
Answer:
22 1/2 minutes
Step-by-step explanation:
45 divided by two =22 1/2
Hope this helps :)
Simplify (step by steps, thanks!)
The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).
To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.
Let's start with the first fraction's denominator:
x² + x - 6
We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:
x² + x - 6 = (x + 3)(x - 2)
Now let's factor the second fraction's denominator:
x² - 6x + 8
We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:
x² - 6x + 8 = (x - 2)(x - 4)
Now we can rewrite the original expression with a common denominator:
(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))
Next, we can simplify the numerator:
(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
Finally, we can't simplify this expression any further. Therefore, the simplified expression is:
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
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whatsssss those fromm greatesttt to leassttt
greatest to smallest : \(= \sqrt[3]{88} ,\sqrt{19} ,\frac{28}{9}\)
Fraction: A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator
Square root: In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = 16
Use this fraction calculator for adding, subtracting, multiplying, and dividing fractions. Answers are fractions in the lowest terms or mixed numbers in reduced form.
Input proper or improper fractions, select the math sign, and click Calculate. This is a fraction calculator with steps shown in the solution.
If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -6/7, insert -6 in the numerator and 7 in the denominator.
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Solution :
\(\sqrt[3]{88} \\\sqrt[3]{2.2.2.11} \\2\sqrt[3]{11} \\\sqrt[3]{11} = 2.224\\2.2.224\\4.448 ...(1)\\\\\\\frac{28}{9} = 3.333 ...(2)\\\\ \sqrt{19} = 4.359 ...(3)\\\\Form 1 , 2 & 3 \\\\greatest number to smallest number = 4.448 , 4.359 ,3.333\\= \sqrt[3]{88} ,\sqrt{19} ,\frac{28}{9}\)
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How many solutions does the following equation have?
-252 +1 + 352 = 102 + 1
Answer:
2
Step-by-step explanation:
because if u don't believe u have trust issues
A number cube has sides labeled 1 to 6. Gia rolls the number cube. What is the probability that she rolls a 4?
Group of answer choices
A number cube has sides labeled 1 to 6. Gia rolls the number cube. What is the probability that she rolls a 4?
Group of answer choices
Answer:
1/6
Step-by-step explanation:
There are six possible values of her roll...if is a fair die '4' will have a 1 out of 6 chance of being rolled
Answer:
There is a 1 in 6 chance (1/6) chance Gia lands on 4
Step-by-step explanation:
Find the ENDPOINT of the directed Line Segment starting at (8,19) that is Divided in a 1:5 Ratio by the point (13,14)
The endpoint of the line segment is (43, 58).
To find the endpoint of the line segment, we need to first find the coordinates of the point that divides the line segment in a 1:5 ratio.
Let's call the endpoint we're looking for (x, y).
We know that the point (13, 14) divides the line segment into two parts with a ratio of 1:5. This means that the distance from (8, 19) to (13, 14) is one-sixth of the distance from (8, 19) to (x, y).
Using the distance formula, we can calculate the distance between the two points:
distance between (8, 19) and (13, 14) = \(\sqrt{(13-8)^{2}+(14-19)^{2} }\) = \(\sqrt{74}\)
We also know that the distance from (8, 19) to (x, y) is six times the distance from (8, 19) to (13, 14). So:
distance between (8, 19) and (x, y) = 6 * distance between (8, 19) and (13, 14)
= 6 * \(\sqrt{74}\)
Now we can use the midpoint formula to find the coordinates of the point that divides the line segment in a 1:5 ratio:
midpoint = ((1/6)*x + (5/6)*13, (1/6)*y + (5/6)*14)
= ((x+65)/6, (y+70)/6)
We know that the midpoint of the line segment is (13, 14), so:
(x+65)/6 = 13 and (y+70)/6 = 14
Solving for x and y, we get:
x = 43 and y = 58
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Algebra2 8.2 Practice a problems
Step-by-step explanation:
Given the angle 10 let's add 360 and see if the angle is in the interval.
\(10 + 360 = 370\)
However,
\(10 - 360 = - 350\)
So the coterminal angle is
-350
For question 2, subtract 360
\(180 - 360 = - 180\)
One cake costs 24 cents to make a baker sells each cake for 64 cents calculate the percentage profit the baker makes
On each cake sold, the baker earns a profit of 166.67%. This implies that the baker makes an extra 40 cents in profit for every 24 cents used to make a cake.
To calculate the percentage profit the baker makes on each cake, we first need to calculate the profit margin, which is the difference between the selling price and the cost price of the cake.
Profit Margin = Selling Price - Cost Price
In this case, the selling price of the cake is 64 cents, and the cost price is 24 cents. Therefore, the profit margin is:
Profit Margin = 64 - 24 = 40 cents
Next, we can calculate the percentage profit by dividing the profit margin by the cost price and multiplying by 100:
Percentage Profit = (Profit Margin / Cost Price) x 100
Percentage Profit = (40 / 24) x 100
Percentage Profit = 166.67%
Therefore, the baker makes a profit of 166.67% on each cake sold. This means that for every 24 cents spent on making a cake, the baker earns an additional 40 cents in profit. The high percentage profit indicates that the baker's pricing strategy is effective in generating significant profits for their business
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let x(t) = cos(75t). if we sample x(t) at the nyquist frequency, what is the resulting discrete frequency
If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.
In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.
Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.
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Why would the median be a better measure of the center than the mean for the following set of data? 3, 4, 4, 4, 5, 6, 7, 23
Answer:
Step-by-step explanation:
If I found the mean, the answer would be:
3+ 4+4+4+5+6+7+23= 56
56/ 8 = 7
If I found the average value using the median, the answer would be 4.5.
In this set of data, the anomaly is 23 as it is much higher than the other numbers.
The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.
Therefore, the median is better to work out the average in this set of data.
:)