Answers
Answer:
22.4cm
Step-by-step explanation:
The formula for the diagonal is:
[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]
Where:
l is the length (AB, CD)
b is the width (BC, AD)
h is the height (AE, BF, CG, DH)
We know d, l, b and we can calculate h
[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]
We evaluate both sides to ² to remove the square root:
[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]
[tex]625 = 164 + h {}^{2} [/tex]
To find the value of h we have to do the square root, as it is to the ²:
[tex] \sqrt{625 - 124} = h[/tex]
[tex] \sqrt{501} = h = 22.4cm[/tex]
Related Questions
How do u Keep change change this number???
1.3 - -300=????
I don’t know what to do
Answers
1.3 + 300
301.3
the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach
Answers
Answer:
The ladder reaches [tex]15ft[/tex]
Step-by-step explanation:
In the first case we have
[tex]cos\theta =\frac{12}{15}[/tex]
In second case let the height be [tex]x[/tex]
We have
[tex]sin\theta =\frac{x}{25}[/tex]
We know that
[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]
Substituting
[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]
The ladder reaches [tex]15ft[/tex]
May I please receive help?
Answers
Answer:
24°
Step-by-step explanation:
(4y-4)+(180-52)+3y = 180°
4y-4+128+3y = 180
7y+124 = 180
7y = 56
y = 8
SO ∠x = 3y
∠x = 3(8)
∠x = 24
Answer:
24
Step-by-step explanation:
to find the measure of angle X we must first find y
An exterior angle of a triangle is equal to the sum of the opposite interior angle
angle wyz is an exterior angle and the opposite interior angles are w and x
this means that angle wyz = angle w + angle X
if angle wyz = 52 , angle X = 3y and angle w = 4y-4 then 52 = 3y + 4y - 4
note that we just created an equation that we can use to solve for y
we now solve for y using the equation we just created
52 = 3y + 4y - 4
combine like terms
52 = 7y - 4
add 4 to both sides
56 = 7y
divide both sides by 7
we're left with y = 8
Now to find the measure of angle X we simply plug in the value of y into 3y because angle X = 3y
angle X = 3y
y = 8
angle X = 3(8)
multiply 3 and 8 to get 24
angle X = 24
and we are done!
What is the volume of a sphere with a radius of 5.9 inch rounded to the nearest 10th of a cubic inch
Answers
Answer:
860.3
Step-by-step explanation:
43·π·5.93≈860.28954in³
860.28954 = 860.3
The volume of the sphere is V = 859.9 inches³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the radius of the sphere be r = 5.9 inches
Now , Volume of a Sphere = ( 4/3 ) πr³
On simplifying , we get
V = ( 4/3 ) ( 3.14 ) ( 5.9 )³
V = 859.853 inches³
Hence , the sphere has volume of 859.9 inches³
To learn more about sphere click :
https://brainly.com/question/27933834
#SPJ2
if 240 slices of cake are shared into the same ration 3:5 among the boys and girls how many slices will each students recieve
Answers
Smallest Positive fraction
Answers
Answer: 1/5?
Step-by-step explanation:
468 divided by 3 step by step solution
Answers
Answer:
156Step-by-step explanation:
468 ÷ 3
= 156
hope u liked the answer :)
#keep learningAdam works for an agency.
His normal hourly rate is £8.32
The agency asks Adam to work 6 hours for a new company.
Adam will be paid time and a third of his normal hourly rate.
How much will Adam get paid in total when working for the new company
Answers
Adam normally earns 8.32 an hour. To get your answer, please follow my steps.
1. 8.32 * 6 (how much he has to work for).
Despite the two decimal places, we can ignore them and complete the process normally.
8 3 2
6
——————-
4 9 9 2
2. Add your decimals in the correct places aka 49.92!
3. Multiply 49.92 * 1/3 (a third) and you will get your answer: 16.64.
Hope this helped!
Adam receives 13.762 euros
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
Given
Adam normally earns 8.32 an hour.
1. 832 * 6 = 10.992 for 6 hours
Adam will be payed = 8.32 *1/3 = 2.77
Total payment = 10.992 + 2.77 = 13.762
To learn more about division refer to:
https://brainly.com/question/12085148
#SPJ2
Paula has $3,281 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
(compound interest Formula)
Answers
Answer:
$262.48Step-by-step explanation:
Given:
Saving amount P = $3281Interest rate r = 8% or 0.08Compound number n = 1Time t = 1 yearFind the total amount in 1 year:
[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]
Last Tuesday was silly hat day at Molly's school. 90 students wore a silly hat and 810
students did not. What percentage of the students wore a silly hat?
Write your answer using a percent sign (%).
Answers
Let a and b be real numbers where ab+0. Which of the following functions could represent the graph below?
O f(x) = x(x – a)3(x – b) 3
O f(x) = (x – a)2(x – 614
O f(x) = x(x – a) (x – 5)2
O f(x) = (x – a)5(x – b)
Answers
The following functions could represent the graph below then the correct option is B; y = (x - a)^2 (x - b)^4.
What is graph ?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
we have given that a and b are real numbers different than zero.
From the graph, we can see that the line touches the x-axis in two values.
Now, if we would have an equation such as:
y = x(x - a)^3 (x - b)^3
then when x = 0
y = 0(0-a)^3 (0-b)^3
y = 0
But in the graph, we can see that when x = 0, the value of y is different than zero,
(For example, if x > a and x < b we would have a negative value for y)
Then the correct option is B ;y = (x - a)^2 (x - b)^4
Learn more about graphing functions here:
https://brainly.com/question/14455421
#SPJ1
Please help me with this math problem!! NO LINKS PLEASE!! IT'S DUE TONGIHT AT 11:59PM!! :)
Answers
Answer:
∆L = 51°
∆Y = 28°
∆B = 101°
∆U = 51°
UG = 10.66666
BG = 4x
WILL GIVE YOU 50 POINT
Find M AFE.
Answers
Answer:
The answer is C
Step-by-step explanation:
25 + 57 + 34 = 116, so at least 116, not 116.
The angle is close to 90+45 = 135
assuming with this, the asnwer is C
Answer:
B. 173
Step-by-step explanation:
just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing
Round 9.46 to the nearest tenth.
Answers
Answer:
9.50
Step-by-step explanation:
9.46 to the nearest tenth is 9.50,
wherever there is a th after the value name it is the right hand side of the decimal point that you need to round to.
Hope this helps!
Answer 9.5
Step-by-step explanation: i think-
help please.
with the steps
on image.
Answers
Answer:
T(n) = 3n² - 4-189 doesn't belongStep-by-step explanation:
Given sequence:
-1, 8, 23, 44, 71The first differences:
9, 15, 21, 27The second differences:
6, 6, 6If the sequence is T(n) = an² + bn + c, we have:
2a = 6 ⇒ a = 3Using the first and second differences work out the value of zero term:
9 - 6 = 3-1 - 3 = -4This gives us c = - 4
Now we have:
T(n) = 3n² + bn - 4The first term is T(1) = -1, substitute n = 1 and find the value of b:
3(1²) + b*1 - 4 = - 13 + b - 4 = - 1b = 0The nth term is:
T(n) = 3n² - 4Now lets find if -189 belongs to this sequence:
- 189 = 3n² - 43n² = - 185The left side is positive and the right side is negative so the answer is also negative
a video game system was on sale for $350. if the discount was 10% off, how much money did they take off the price?
Answers
Answer:
they took off 35$
Step-by-step explanation:
hope this helps
Answer:
$35
Step-by-step explanation:
10 divided by 350 = $35
PLS SHOW ME HOW U GET THE ANSWER AND WILL GIVE BRAINLYEST
Answers
Answer:
38 degrees
Step-by-step explanation:
all triangles length added up are 180 degrees.
add 52 and 90 to get 142. Subtract to get 38 degrees.
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5 lb. of steak?
Answers
Answer:
$15.86
Step-by-step explanation:
Make 2 3/5 improper fraction (5 times 2 and add 3 equals 13)
13/5 times 6.1 ( or 6 1/10 or 61/10)
equals 793/50
divide
answer is 15.86
1+1=3 proof
needs step by step explanation
Answers
Answer:
1+1=3, See explenation
Step-by-step explanation:
1+1=2 but thats basically 2.1 because whole numbers are boring, but 2.1 is basically 2.2 because we want it as an even number, but 2.2 is basically 2.3 because 2.3 is the luckiest number, which is basically 2.5 if you think about it because 2.3 looks like 2/3 and two thirds can't be a whole (which is why we say 3/3 instead of 2/3) and 2.5 rounded up is 3. So thats how 1+1=3
Each box of candy canes has 12 candy canes. How much does each candy cane cost?
Answers
Based on the information given, the cost of each candy cane will be $3.00.
This is an incomplete information as you didn't provide the cost of the box. Let's assume that the cost of the box is $36.
From the information given, we are told that each box of candy canes has 12 candy canes. Therefore, the cost of each candy cane will be:
= $36 / 12
= $3.
Learn more about equation on:
https://brainly.com/question/13802812
What is the end behavior of the function shown in the graph above?
A
As x approaches 0, y approaches 15.
As x approaches 25, y approaches 0.
B
As x approaches∞, y approaches 0.
As x approaches −∞, y approaches ∞.
C
As x approaches 0, y approaches ∞.
As x approaches ∞, y approaches −∞.
D
As x approaches ∞, y approaches 0.
As x approaches ∞, y approaches ∞.
Answers
Answer:
B
Step-by-step explanation:
Brinda has come to her aunt's place and wants to play a game on the computer. The computer is shown in the figure. She presses the button marked A and is surprised to find that the computer starts immediately and there is already a file open. Which of the following is the best explanation of what happened?
Answers
Answer:
she clicks the file
Step-by-step explanation:
Dividing 3/5 into what number gives you 20
Answers
Answer:
12
Step-by-step explanation:
Set up equation like this with x being the number
X / (3/5) = 20
X * (5/3) = 20
so multiply both sides by 3/5 so
X = 20 (3/5)
therefore,
X = 12
we can check to make sure this is right by plugging it back in:
12 / (3/5) = 20 so it is true
23.2 x 0.14 can somebody help quick
Answers
Answer:
2.78
Step-by-step explanation:
you could have used a calculator
Answer:
23.2 times 0.14 is 3.248
How do I solve this?
Answers
This is because each sparkler takes 2 minutes to burn so 10 * 120 = 1200 seconds, then 120 / 0.10 = 12 (which is the 10th of the 2 minutes) now we do 12 * 10 = 120 to get the cut time from lighting a match after a tenth remained. now since we have that we do 1200 - 120 and get 1080 seconds and that is the total time n seconds of the burning matches, now we convert it to minutes by doing 1080 / 60 and get 18.
hope this is helpful!
From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2
Answers
Answer:
4x^2 +9xy +6y^2
Step-by-step explanation:
Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.
7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)
= (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2
= 4x^2 +9xy +6y^2
hidffhhhhhhhhhhhhhhhhhhhhhhhhhd
Answers
Billy has a $40 gift card. She spends $10 per week. Write a linear equation for this situation.
(Hint: Use y = mx + b, where y is money remaining, m is loss per week, and b is the starting money.)
Answers
She has $40 to begin with and spends $10 per week.
Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.
Answers
The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
Read more about simultaneous equations at;https://brainly.com/question/17671517
Answer:
-2, 5, 10, 21
A, B, D, E
Each week, the price of oranges at the farmer's market increases by 20%.
The price of oranges this week is $4.50.
What was the price last week?
Answers
Answer:
3.6? I don't really know