Answer:
Step-by-step explanation:
please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
First you will get 4dz
Exercise b: in this figure m 3=110 m 10=95 find the measure of each angle
Greetings from Brasil...
Here we will use our knowledge of parallel lines....
→ Angles opposite the vertices are equal, so
1 = 6
2 = 5
3 = 8
4 = 7
9 = 14
10 = 13
11 = 16
12 = 15
→ Corresponding angles are equal, so
1 = 9
2 = 10
3 = 11
4 = 12
Given the information above we can write:
1 = 6 = 9 = 14
2 = 5 = 10 = 13
3 = 8 = 11 = 16
4 = 7 = 12 = 15
from the statement of the question it is said that: 3 = 110° and 10 = 95°, so
2 = 5 = 10 = 13 = 95°
3 = 8 = 11 = 16 = 110°
→ from internal/external collateral angles OR supplementary angles:
1 + 2 = 180°
1 + 95° = 180°
1 = 180° - 95°
1 = 85°
3 + 4 = 180°
110° + 4 = 180°
4 = 180° - 110°
4 = 70°
Now we can say that:
1 = 6 = 9 = 14 = 85°2 = 5 = 10 = 13 = 95°3 = 8 = 11 = 16 = 110°4 = 7 = 12 = 15 = 70°FIND THE ANGLE OF DEPRESSION. PLS HELP. I WILL MARK YOU A BRAINLEST
Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.
What should Liam do for his next step?
A. Place the point of the compass on point A and draw any arc above it.
B. Use the straightedge to draw a horizontal line that contains point E.
C. Use a straightedge to draw AE¯¯¯¯¯.
D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.
Answer:
Step-by-step explanation:
B
Answer:
The correct answer is D.D) Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.
Step-by-step explanation:
You extend your compass the width of line AB and then place the compass point on point B, create an arc on point E.
Then, without adjusting the compass expansion, proceed to do the same on point A. Point of compass on point A, create arc above. Etc
I hope this helps!
What is the x intercept of 2x + 4y = 20
Answer:
10
Step-by-step explanation:
x- intercept is where the equation intersect the x-axis. So, at x-axis y = 0
2x + 4*0 = 20
2x = 20
Divide both sides by 2
2x /2 = 20/2
x = 10
Answer:
\(x = 10\)
Step-by-step explanation:
To find x-intercept/zero, substitute y = 0.
\(2x + 4 \times 0 = 20\)
Any expression multiplied by 0 equals 0.
\(2x + 0 = 20\)
When adding or subtracting 0, the quantify does not change.
\(2x = 20\)
Divide both side of the equation by 2:
\(x = 10\)
You are assigned some math exercises for homework.
You complete 87.5% of these before dinner.
How many do you have left to do after dinner if you completed 28 exercises before dinner?
Answer: 4 exercises
Step-by-step explanation:
If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.
Let "\(x\)" be the total number of exercises.
\(0.875x = 28\)
Solving for \(x\), we get:
\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)
Therefore, the total number of exercises is 32.
We completed 28 exercises before dinner, so we have: 32 - 28 = 4 exercises left to do after dinner.
________________________________________________________
Sinead got a mark of 16/25 in a test. What is this as a percentage?
Answer:
Step-by-step explanation:16/25
4x(16/25)=64%
Answer:
She got 64% in the test...
$3500 unfortunately you only have $500 saved ,if it is possible for you to save $100 a month,your friend will reduce the price of the car $50 a month
Question is inappropriate
Step-by-step explanation:
Tell full question
Line segment KL is tangent to circle J at point K.
Circle J is shown. Line segment J K is a radius with length r. Line segment K L is a tangent with length 24 and it intersects the circle at point K. A line is drawn from point L to point J and goes through a point on the circle. The length from point L to the point on the circle is 16. The length from the point on the circle to center point J is r.
What is the length of the radius, r?
8 units
10 units
12 units
16 units
Using the tangent theorem, the length of the radius is: B. 10 units.
What is the Tangent Theorem?According to the tangent theorem, since KL is tangent to the circle, therefore, angle JKL = 90°.
Since the triangle is a right triangle, apply the Pythagorean theorem:
(r+16)² = r² + 24²
r² + 32r + 256 = r² + 576
r² - r² + 32r + 256 = 576
32r + 256 = 576
32r = 576 - 256
32r = 320
r = 320/32
r = 10
The radius is: B. 10 units.
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Answer:
B. 10 Units
Step-by-step explanation:
Can any shape be a quadrilateral as long as it has 4 sides?
Explanation:
This is because
quad = 4lateral = sidesAn investment adviser has determined that ABCD stock would be an appropriate investment for his client, but only if the price falls from the current level of $50 per share to $35 per share. What MUST the adviser do prior to placing an order to buy ABCD stock for the client's account
Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.
The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.
Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.
Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.
Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.
By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.
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question halp me plss
Answer:
-25
Step-by-step explanation:
when b = 6
sub b = 6 into b^2-9b-7
6^2-9(6)-7
36-54-7
36-61
-25
Which is a zero of the function f(x) = 2x – 6?
2
-3
-6
3
Answer and explanation:
The answer is actually -3. We already know f(x)/y is equal to 0, so the equation is then simplified to 0 = 2x - 6. You do inverse operation, so then -6 = 2x. Then -6 divided by 2 is -3. So -3 = x. Therefore, the zero of the function f(x) = 2x – 6 is -3.
the sum of the digits of a two-digit number is 11 the tens digit is one less thn three times the ones didgit find the original number
Answer:
The original number is 83
Step-by-step explanation:
let the number be ab
Sum of the two is 11
a + b = 11
tens digit a is one less than 3 times the ones digit
3b - a = 1
a = 3b - 1
3b -1 + b = 11
4b = 11 + 1
4b = 12
b = 12/4
b = 3
a = 3b - 1
a = 3(3) - 1
a = 9-1
a = 8
Mrs. Meyer's soap is $3.99 for 12 ounces. What is the cost per ounce?
Answer:
It's about 33 cents per ounce. The exact answer would be 0.3325
Step-by-step explanation:
Answer:
0.33
Step-by-step explanation: i did it on a piece of paper
Assuming x and the number below are measured in degrees find re value of x and find the unknown angle measure in each triangle.
Answer:
x = 16°
4x-7 = 57°
3x+4 = 52°
5x-9 = 71°
Step-by-step explanation:
All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.
4x-7 + 3x+4 + 5x-9 = 180
Simplify by combining like terms.
12x-12 = 180
Then, do inverse operations to find x.
12x=192
x=16
Now that we found x, we can substitute 16 for x in each angle equation in the triangle.
4(16)-7 = 57
3(16)+4 = 52
5(16)-9 = 71
cody was 165 cm 165cm165, start text, c, m, end text tall on the first day of school this year, which was 10 % 10, percent taller than he was on the first day of school last year. how tall was cody on the first day of school last year? cm cm
If Cody was 10 %, percent taller than he was on the first day of school last year then he was 150 cm tall on the first day of school last year.
To find out the height of Cody on the first day of school last year, we need to perform a calculation as follows:
Let's say their height of Cody on the first day of school last year is 'x'.
His height of Cody on the first day of school this year is 165 cm.
Cody is 10% taller than he was on the first day of school last year, so:
165 = x + (10% of x)
Simplifying this equation will give
165 = x + 0.1 x 165
= 1.1xx
= 150
Therefore, Cody was 150 cm tall on the first day of school last year.
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Y = 5/4x + 3
Y = 5x/4 -3
Answer: Both equations have parallel slopes.
Step-by-step explanation: Both lines go in the same direction.
Please give brainliest !! :))
-4×(-2)[2×(-6)+3×(2×6-4-4)]
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
I need help asap pls
Answer:
\(\displaystyle 36° = m∠NQS\)
Step-by-step explanation:
Apply the Midsegment Theorem:
\(\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°\)
I am joyous to assist you at any time.
Find the slope-intercept form of the line whose slope 5 is and that passes through the point (-5,8).
The equation of the line is
Answer:
y=5x+33
Step-by-step explanation:
y-y1=m(x-x1)
y-8=5(x-(-5))
y-8=5(x+5)
y=5x+25+8
y=5x+33
Assume that W has positive variance. Are X and W independent? Select an option YES
X and W cannot be independent if W has positive variance.
No, X and W cannot be independent if W has positive variance.
The independence of two random variables, X and W, is defined by the condition that their joint probability distribution function (PDF) can be expressed as the product of their individual marginal PDFs. Mathematically, if X and W are independent, then
P(X = x, W = w) = P(X = x) × P(W = w) for all possible values of x and w.
However, the presence of a positive variance for W implies that there is variability in the values that W can take. This means that the distribution of W is not degenerate (i.e., not concentrated at a single point), and there is a spread of possible outcomes for W.
If X and W were independent, the spread of values for W should not affect the distribution of X. But since W has variability and non-zero variance, it means that the values of W can influence the values of X, and vice versa. This indicates a dependence between X and W.
Therefore, X and W cannot be independent if W has positive variance.
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The question is incomplete the complete question is
Let X = Θ + W, where Θ and W are independent normal random variables and w has mean zero.
a) Assume that W has positive variance. Are X and W independent?
Calculate 48 ÷ 3.01. Use the correct number of significant digits in the answer.
Answer:
15.946
Step-by-step explanation:
Just divide 48/3.01 using long division
What is half of a 3/4 cup?
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
how many are 9 raised to 2 ???
Answer:
\(\boxed{81}\)
Step-by-step explanation:
9 raised to 2 is
=> \(9^2\)
=> 9 * 9
=> 81
Find the mode for the following data set:10 30 10 36 26 22
In this particular data set, 10 is the only value that occurs more than once, so it is the only mode
The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.
Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.
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5)
Divide:
-54-9 =
Highlight
Time
emaining
0:22:39
ide Tools
A)
-7
B)
-6
C)
6
D)
7
Answer:
c
Step-by-step explanation:
sorry about the crack screen but can someone help me
what is the area of a circle with a radius of 3 in terms of pi
Answer:
\(area = 3 \times 3 \times \pi = 9\pi\)
The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the reversed number. Find the number.
Answer:
62
Step-by-step explanation:
Let the two digit number be XY
X+Y = 8
10X+Y - (10Y+X) = 10Y+X+10
10X+Y-10Y-X=10Y+X+10
8X-19Y=10
8(8-Y)-19Y=10
64-8Y-19Y=10
27Y=54
Y=2
The number is therefore 62.
The required two-digit number with sum of digits as 8 is 62.
Let us say the number is xy
What is the place value of x and y in xy?
The place value of digits, x and y in the number xy are 10 and 1 respectively.
So the number xy can be written as 10x+y
When the digits are reversed
The new number or reversed number obtained will be yx
So the new number yx can be written as 10y+x
Since the difference between the original number and the reversed number is 10 more than the reversed number.
So, (10x+y) - (10y+x) = 10 + (10y+x)
8x-19y =10.......(1)
Since the sum of digits is 8
So, x+y = 8......(2)
By solving equations (1) and (2) we get
x=6, y=2
So, the required number is xy i.e. 62.
Therefore, The required two-digit number with sum of digits as 8 is 62.
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