Answer:
84 square inches
Step-by-step explanation:
First, separate this shape into two shapes you can easily find the area of. You can do this by turning it into a rectangle and a rhombus.
Say the rectangle has measurements of 5 by 6 inches. The area of that rectangle will be 30 square inches. Save this value to add on later.
The rhombus now has a height of 4 (because the side length 10 minus the side length 6 equals 4), and two bases by the values of 12 and 15. The area of a rhombus can be found with the equation:
a = 1/2(b1 + b2) x h
Simply plug in those values to find the area of the rhombus, 54. Now add the area of the rhombus and the area of the rectangle to get 84 square inches as your final area.
HELP PLS!
Delta math
A right rectangular prison is shown with some measurements given in units. The length of the diagonal from point A to point B is 13 units. What is the height, h, of the prison in units?
The required value of h, representing the height of the three-dimensional rectangle, is 12.
The diagonal of a three-dimensional rectangle is defined by the equation d² = x² + y² + h². To solve for h, we can rearrange the equation as follows:
h² = d² - x² - y²
Given the values d = 13, x = 3, and y = 4, we can substitute them into the equation:
h² = 13² - 3² - 4²
h² = 169 - 9 - 16
h² = 144
Taking the square root of both sides, we find:
h = 12
Therefore, the value of h, representing the height of the three-dimensional rectangle, is 12.
Learn more about the diagonal of the right rectangular prison here:
https://brainly.com/question/13839054
#SPJ1
Find the domain & range of the relation
{(-5,13), (6,18), (2,-7), (1,4), (-3,-1)}
Answer:
Domain: -5,6,2,1,-3
Range: 13,18,-7,4,-1
Step-by-step explanation:
Domain is the independent value/ x / input
Range is the dependent value/ y / output
Complete the following statement. Use the integers that are closest to the number in the middle.
Attachment Below
Answer:
-1 and 6
Step-by-step explanation:
i hope this help you
Anyone know how to do the bottom part pls
Answer:
x<20.80
Step-by-step explanation:
So you have your equation
3.00+2.50x<55.00
So now solve it
subtract 3 on both sides:
2.50x<52.00
Divide 2.50 on both sides:
Which is 20.8
So the equation looks like this:
x<20.80
Hope this helps!
Answer:
x < 20.8
Step-by-step explanation:
\(3.00+2.50x <55.00\\\rule{150}{0.5}\\3 - 3 + 2.50x < 55 - 3\\\\2.50x < 52\\\\\frac{2.50x<52}{2.50}\\\\\boxed{x < 20.8}\)
Let n be the middle number of three consecutive Integers. Write an expression for the sum of these Integers.
Consecutive integers are those that occur one after the other. Let's use 2, 3, 4 as an example.
The middle number is 3 (n). To get to 2 from 3, we need to subtract 1 (n - 1). To get to 4 from 3, we need to add 1 (n + 1).
Now that we understand how to get to each number from the middle number, we can create our expression.
(n - 1) + n + (n + 1)
(n + n + n) + (1 - 1)
3n + 0
Answer: 3n
Hope this helps!
Answer:
3nStep-by-step explanation:
We know that:
n is the middle number of the three consecutive numbers.The three consecutive numbers can be represented as n - 1, n, n + 1.Solution:
=> x + n + y (n = middle number)=> n - 1 + n + n + 1 (n = middle number)=> 3nHence, the sum of the three consecutive numbers is 3n.
When the scale factor is 1, what is the ratio of the side length of the side opposite ∠A and the length of the hypotenuse?
when the scale factor is 1, we have:
(side length of side opposite ∠A) / (length of hypotenuse) = sin A
When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.
The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.
In mathematical terms, when the scale factor is 1, we have:
(side length of side opposite ∠A) / (length of hypotenuse) = sin A
It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.
For more questions on side
https://brainly.com/question/30452445
#SPJ8
At a local market two pounds of peaches cost $4.50
Answer:
$2.25 per lb
Step-by-step explanation:
x = 4.50/2
x = $2.25 per lb
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
Complete the following equation for a line passing through point C and perpendicular AB.
y=
As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.
What is the slope-intercept form of a straight line?
The slope-intercept form of a straight line is: y = mx + c
Here, m = slope of the line , c = y-intercept
If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).
The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.
Therefore, the slope of the line AB is (m)
= (y₂ - y₁)/(x₂ - x₁)
= (4 - 9)/(8 - 2)
= (- 5)/6
Slope of the required line is perpendicular to AB.
Therefore, the slope of the required line is
= - 1/(- 5/6)
= 6/5
This line passes through point C(- 3, - 2).
- 2 = - 3(6/5) + c
⇒ c = -2 + 18/5
⇒ c = 8/5
The equation of the required line is
y = (6/5) x + (8/5)
⇒ 5y = 6x + 8
To Learn more about the slope-intercept form of a straight line here: brainly.com/question/19465597
#SPJ1
Which pile of laundry has more shirts?
Pile 1
Three pants two shirts
Pile 2
Two shirts 4 pants
Answer:111
Step-by-step explanation:
1111
Find (f-g) f (x)=2χ 2-2and g (x)=4x+1
A6x2-x
B 2x2+4x+3
C 2x2-4x-1
D 2x2+4x1
Answer:
None of the above.
Step-by-step explanation:
Just subtract the functions
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
For more such questions on carbohydrate, click on:
https://brainly.com/question/29917711
#SPJ8
#1 (7.6)
ABXC is a right triangle where mzXBC-90°, mzCXB-60°, and XB-5. Determine the length
of each side. Leave your answer as an exact answer.
1. Draw the triangle and label the given parts
2. Identify side types:
30-60-90 has hypotenuse, short, long
45-45-90 has hypotenuse, leg, leg
3. Write the formulas for the special right triangle. Plug in your values and solve.
To enter a square root answer, type the number outside and the number inside using the two
boxes provided. For example, 7√2 would look like 7
Length
Side
CB (long)
XB (hypotenuse)
The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective
What is a triangle?A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees
From the triangle, Using the trigonometric ratio of sine
Sin C = opposite/Hypothenuse
Sin30 = 5/H
Making h the subject of the relation we have
h= 5/sin30
h=5/0.5
Therefore the value of h=10 units
To find the third side use Pythagoras theorem
10² = 5²+p²
100-25 = p²
75 = p²
Taking the square of both sides
p=√75
p=8.7 units
Learn more about triangles on https://brainly.com/question/2773823
#SPJ1
1.The price of a coat was priced at $300. It went on sale after Christmas. It had a 22% discount. What was the sale price?
A.$66
B.$278
C.$322
D.$234
2.The volume of a rectangular pyramid is 120 cubic centimeters. The base is 12 centimeters long and 5 centimeters wide. What is its height?
A.2
B.6
C.9
D.15
Answer:
1. $234
2. B) 6
Step-by-step explanation:
1. Since the coat is on sale for 22% off you want to do 300 times 0.22 to get 66. With this number you are going to take 300-66 to get $234.
2. The formula for the volume of a rectangular pyramid is V= lwh/3
Since I know that the total volume is 120 I know that the l times w time h has to equal 360 since its divided by 3. With the 12 and 5 I get 60. Since I know that 360/60 equals 6 I know the answer is B.
Answer:
Okay for number 1 its A.66
Step-by-step explanation:
So you have to multiply 300 times 22 which equals which equals 6600. So now you have to divide 6600 by 100 which your final answer is 66. Hope this helped!
If a seed is planted, it has a 85% chance of growing into a healthy plant.
If 9 seeds are planted, what is the probability that exactly 4 don't grow? Round to 4 decimals.
The probability that exactly 4 seeds out of 9 planted won't grow is 1.57%.
What is the probability that 4 seeds won't grow?Let X be the number of seeds that don't grow.
X follows a binomial distribution with parameters n=9 and p=0.15 (the probability that a seed doesn't grow).
So, probability of exactly 4 seeds not growing is:
P(X=4) = \(9C4 * (0.15)^4 * (1-0.15)^5\)
P(X=4) = 70 * 0.00050625 * 0.4437053125
P(X=4) = 0.01572380701
P(X=4) = 1.57%
Read more about probability
brainly.com/question/24756209
#SPJ1
if 5/8 of the students in a school ar boys, what is the ratio of boys to girls
Answer:
5:3
Step-by-step explanation:
math
pls help i need help :D
Answer:
\(\frac{2808}{3125}\)
Step-by-step explanation:
Hello everyone!!
This is easy;
\( \frac{5x}{2} + \frac{9}{5} = 25\)
\( \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} \)
hope it helps
Please refer to the attachment
solving to find t
|17t + 8| + 7 = 10
Answer:
t1= -11/17, t2=-5/7
Step-by-step explanation:
i think this is what you were looking for...
Solve for y,
-2y+9= -1
oy = -5
y = -4
O y = 4
O y = 5
Answer:
Step-by-step explanation:
-2y + 9 = -1
Adding 2y to both sides:
9 = 2y - 1
Adding 1 to both sides:
10 = 2y
Dividing both sides by 2:
y = 5
Therefore, the value of y that makes the equation true is y = 5
HELPPP PLEASE!!!!!!!!!
The demand equation for a popular brand of fruit drink is given by the equation:
Qx=10-5px+0.001M + 10Py
where:
Qx= monthly consumption per family in liters
Px= price perlite of the fruit drink =$2.00
M= median annual family income =$20,000
Py= price per liter of a competing brand of fruit drink = $2.50.
1. Interpret parameter estimates.
2. Calculate the monthly consumptioliterslitres) of the fruit.
3. Suppose that the median annual family income increased to ¢30,000. How does this change your answer to part (b)?
4. Determine the demand function and the inverse demand function.
Answer:
Parameter estimates
The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.
The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.
The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.
Step-by-step explanation:
To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,
Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)
Qx = 10 - 10 + 20 + 25
Qx = 45 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family is 45 liters.
If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,
Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)
Qx = 10 - 10 + 30 + 25
Qx = 55 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.
To determine the demand function, we need to solve for Qx in terms of the other variables,
Qx = 10 - 5Px + 0.001M + 10Py
Qx - 10Py = 10 - 5Px + 0.001M
Qx = (10 - 5Px + 0.001M) / 10Py
Therefore, the demand function is:
Qx = (10 - 5Px + 0.001M) / 10Py
To find the inverse demand function, we need to solve for Px in terms of Qx.
Qx = 10 - 5Px + 0.001M + 10Py
5Px = 10 - Qx - 0.001M - 10Py
Px = (10 - Qx - 0.001M - 10Py) / 5
Therefore, the inverse demand function is,
Px = (10 - Qx - 0.001M - 10Py) / 5
The author mentions the train fire to
O warn people of the dangers of traveling in the Channel Tunnel
O highlight the advantages of the engineers' design
O explain why travel in the Channel Tunnel has decreased over the years
encourage the rebuilding of the tunnel to better deal with emergencies
The author mentions the train fire to warn people of the dangers of traveling in the Channel Tunnel. The correct answer choice is "warn people of the dangers of traveling in the Channel Tunnel."
The incident highlights the importance of safety measures and preparedness in case of emergencies. It does not necessarily mean that travel in the tunnel has decreased over the years, although it may have had an impact on some people's perceptions of safety. Rather than encouraging the rebuilding of the tunnel, the focus should be on continuously improving safety protocols and measures to prevent future incidents.
Therefore, "warn people of the dangers of traveling in the Channel Tunnel" is correct option.
For more such questions on Tunnel, click on:
https://brainly.com/question/29230439
#SPJ11
Need help on please
Answer:
12
Step-by-step explanation:
The figure is a right triangle with hypotenuse = QS
The base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)
The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)
Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides
QS² = 3² + 4² = 9 + 16 = 25
QS, the hypotenuse = √25 = 5
The perimeter = sum of the sides = 3 + 4 + 5 = 12 units
:- State the property involved in the statement: 96 X (123 – 11 ) = (96 X 123 ) – (96 X 11 ) a) Distributive property of multiplication for subtraction b) closer property c) Property of unity d) commutative law
please help me please help me
Answer:
Associative property of multiplication
Step-by-step explanation:
The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping. For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.
What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
for such more question on domain
https://brainly.com/question/16444481
#SPJ8
The two points that define the latus rectum are?
Answer:
(a, 2a), and (a, -2a)
An airplane is traveling at 625 miles per hour. At this rate, about how long will it take the plane to travel 3,250 miles?
Answer:
5.2 hours
Step-by-step explanation:
divide the total distance by how fast
td/speed
3250/625=5.2hrs
Which number(s) below belong to the solution set of the equation? Check all that apply.
x + 10 = 40
A. 40
B. 80
C. 400
D. 4
E. 30
F. 50
Answer:
E only
Step-by-step explanation:
A circle has a diameter of 4.5 cm. A larger circle has a diameter of 24
cm. What is the approximate difference in the circumferences of the
two circles?
A 19.5 cm
B. 28.5 cm
C. 61 cm
D. 90 cm
The approximate difference in the circumferences of the two circles is: C. 61 cm.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 4.5
Circumference of circle, C = 14.13 cm.
For the larger circle, we have:
Circumference of circle, C = 3.14 × 24
Circumference of circle, C = 75.36 cm.
Difference = 75.36 cm - 14.13 cm.
Difference = 61.23 ≈ 61 cm.
Read more on a circle here: brainly.com/question/6615211
#SPJ1