Answer:
13.85
Step-by-step explanation:
Find the diagram attached
Using the similarity theorem of a triangle;
GH/FG = FG/EF
x/15 = 36/39
x/15 = 12/13
Cross multiply
13x = 12 * 15
13x = 180
x = 180/13
x = 13.85
Hence the value of x to the nearest hundredth is 13.85
The phrase "miles per hour" is an example of a rate of change. What other commonly used rates of change can you think of in everyday speech?
I NEED SOMETHING DIFFERENT THAN SPEED PLEASE
Maybe fast or quick?
Please help me with this homework
will give brainliest to the correct answer (nor links or account will be reported) :)
Answer:
38, 26
Step-by-step explanation:
(x+78) + (x-12) +x = 180
3x + 66 =180
3x = 114
x = 38
P = 38-12=26
35.487 multiply by 10 to the forth power is?
Answer:
354870
Step-by-step explanation:
35.487 × [tex]10^{4}[/tex]
35.487 × 10000
354870
Pauline pours 9/10 to gallon of juice equally into 6 bottles. How much juice is in
each bottle?
Answer:
0.15 Gallons
Step-by-step explanation:
9/10 = 0.9 (Conversion)
0.9 ÷ 6 = 0.15
the more the volume of a cone shaped hole is 12 pi ft3if the hole is 4 ft deep what is the radius of the whole
Answer:
3 ftStep-by-step explanation:
Volume of the cone:
V = 1/3πr²hSubstitute values and solve for r:
12π = 1/2πr²(4)r² = 9x = √9r = 3 ftpls help!!! i don’t understand how to solve this
Answer:
Average velocity = 1
Step-by-step explanation:
f(3) = 3² - 3(3) + 4 = 4
f(1) = 1² - 3(1) + 4 = 2
[tex]Velocity = \frac{f(3) - f(1)}{3-1} =\frac{4-2}{3-1} =\frac{2}{2} =1[/tex]
find the length of midsegment YZ in trapezoid ABCD when A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)
Answer:
Option C
Step-by-step explanation:
Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.
Segment YZ will the midsegment of trapezoid ABCD.
By the theorem of midsegment,
m(YZ) = [tex]\frac{1}{2}(AD+BC)[/tex]
By using expression for the length of a segment between two points,
Length of a segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between two points A(-5, -6) and D(3, 2),
AD = [tex]\sqrt{(3+5)^2+(2+6)^2}[/tex]
AD = [tex]\sqrt{64+64}[/tex]
AD = [tex]\sqrt{128}[/tex]
AD = [tex]8\sqrt{2}[/tex]
Distance between B(-6, -2) and C(-4, 0)
BC = [tex]\sqrt{(-6+4)^2+(-2-0)^2}[/tex]
BC = [tex]\sqrt{8}[/tex]
BC = [tex]2\sqrt{2}[/tex]
Therefore, m(YZ) = [tex]\frac{1}{2}(8\sqrt{2}+2\sqrt{2})[/tex]
= [tex]\frac{1}{2} (10\sqrt{2})[/tex]
= [tex]5\sqrt{2}[/tex]
Option C will be the answer.
The length of the midsegment YZ is [tex]5\sqrt 2[/tex]
The coordinates are given as:
A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)
Start by calculating distance AD and CB using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]AD = \sqrt{(3 +5)^2 + (2 +6)^2} = \sqrt{128}[/tex]
[tex]CB = \sqrt{(-6 +4)^2 + (-2 -0)^2} = \sqrt{8}[/tex]
The length of the midsegment is then calculated as:
[tex]YZ = \frac 12 * (AD + CB)[/tex]
This gives
[tex]YZ = \frac 12 * (\sqrt{128} + \sqrt 8)[/tex]
Simplify
[tex]YZ = \frac 12 * (8\sqrt{2} + 2\sqrt 2)[/tex]
[tex]YZ = \frac 12 * (10\sqrt 2)[/tex]
Simplify
[tex]YZ = 5\sqrt 2[/tex]
Hence, the length of the midsegment YZ is [tex]5\sqrt 2[/tex]
Read more about midsegments at:
https://brainly.com/question/7423948
A pool measuring 8 meters by 28 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 476 square meters, what is the width of the path?
pleaseeeee helppppp!!!
Answer:
The answer should be 18.
function h describes the height of a ball, in inches, after n bounces and is defined by the equation h(n)=120 x (4/5)^n.
What is h(3) ?
What does h(3) represent in this situation?
Answer:
Step-by-step explanation:
h(3) = 120*(4/5)^3, which evaluates to 120(64/125), or 61.64.
What does this mean: After 3 bounces the height of the ball is 61.64 ft.
1. Arun can walk 15 km in 3 hours. How far can he
walk in 4 hours?
Answer:
Step-by-step explanation:
15/3 = x/4
if you multiply you get 3x= 4*15.
4 times 15 is 60, then divide by 3 to get 20
Arun can walk 20 km in 4 hours.
Answer:
20 km.
Step-by-step explanation:
First, divide 15 by 3 to find out how many kilometers Arun can walk in a single hour.
15/3=5
To find out how far he can walk in 4 hours, multiply 4 by the number of kilometers he can walk in an hour, which is 5.
4x5=20
Therefore, Arun can walk 20 km in 4 hours.
Hope this helps you out and have a great day (^人^)
What are the integer solutions to the inequality below? 3 < 3 x − 1 < 2 x + 6
Answer:
4/3<x<7
Step-by-step explanation:
Given the inequalities
3 < 3 x − 1 < 2 x + 6
Add 1 to all sides
3+1 < 3x-1+1<2x+6+1
4 < 3x < 2x + 7
Split
4 < 3x
3x > 4
x > 4/3
4/3 <x
Also
3x < 2x + 7
3x-2x < 7
x <7
Combine
4/3<x<7
Hence the required solution is 4/3<x<7
What is the next step
Answer:
ABC = 50 degree.
Step-by-step explanation:
You add the bisect angles together to get the whole angle (ABC)
(8x - 7)+(6x+1)
(8(4)-7)+(6(4)+1)
(32-7)+(24+1)
25+25 = 50
Thomas Ran 2 miles at track practice Maria ran 50 yards more than half as far as Thomas how many yards did Maria run
Answer: 1810 yards
Step-by-step explanation:
Given
Thomas ran 2 miles and Maria runs 50 yards more than half as far as Thomas
We know, 1 mile is equal to 1760 yards
So, Thomas run [tex]2\times 1760=3520\ \text{yards}[/tex]
half of its distance is 1760 yards
So, the distance covered by Maria is 1760+50=1810 yards
pls help me due today, i will give brainliest !!!
Answer:
c=38
Step-by-step explanation:
Substitute 6 for r and -2 for t in the formula given
c=rt^(2)-3t+8
c=6*(-2)^2-3*(-2)+8
c=6*4-3*-2+8
c=24+6+8
What is the mean? (I don’t pay attention in class).
help I dont get it and im stuck
Answer:
B) 20
Step-by-step explanation:
Don't think to hard about the answer, all the numbers and text can be distracting.
Look at only the length of both Rachel 12 and Amos 16
Now use the Pythagorean theorem to find the unknown side in this right triangle.
[tex]a^{2} +b^{2} =c^{2} \\12^{2} +16^{2} =c^{2}[/tex]
Answer:
20 km
Step-by-step explanation:
I used the Pothagarim Theorom.
First, Multiply 12 by 12 to get 144Then, multiply 16 by 16 to get 256.Next, add 144 to 256 to get 400.Find the square root of 400 and get 20.20 km would be your final answerHope this Helps!
-kiniwih426
Btw, pls brainliest(if possible)
Scientists calculate that the average temperature of the earth is increasing at a rate of 0.12 degrees a year. This situation can be modeled by what type of function?
Answer:
Step-by-step explanation:
Linear Function
Classify this triangle
Answer:
Right triangle
Step-by-step explanation:
becuase it is
Answer:
right triangle
Step-by-step explanation:
A canister contains 12 ounces of flour. When the canister is full, it holds 6 times as much flour.
How many ounces of flour does the canister hold when it is full?
Answer:
72 ounces
Step-by-step explanation:
given that it is holding 12 ounces and it says that the max is 6 times that of the 12 ounces it would be
12×6
thus it would equal 72
Answer:
72 oz.
Step-by-step explanation:
12 oz times 6 duhhhh
Find the mean and median of the data. 8 1/2,6 5/8,3 1/8,5 3/4,6 5/8,5 1/4,10 5/8,4 1/2 The mean is . The median is .
Answer:
Median = 6.1875
Mean = 6.375
Step-by-step explanation:
Given the data:
8 1/2,6 5/8,3 1/8,5 3/4,6 5/8,5 1/4,10 5/8,4 1/2
Arranging in ascending order :
3 1/8, 4 1/2, 5 1/4, 5 3/4, 6 5/8, 6 5/8, 8 1/2, 10 5/8
Median = 1/2(n + 1)th term
n = 8
1/2 (9) th term
= 4.5th term
(5 3/4 + 6 5/8) / 2
= 6.1875
Mean = Σx / n
Mean = 51 / 8
Mean = 6.375
1)A bag contains seven red marbles and seven
blue marbles. You randomly pick a marble
and then pick a second marble without
returning the marbles to the bag. Both
marbles are red
Answer: 7/26
Step-by-step explanation:
7 red and 7 blue = 14 total
7/14 or 1/2 chance of getting red first
7/13 chance of getting red the second time
7/13*1/2 = 7/26
7/26 chance
sorry if it’s wrong but I hope it helps
7=x + 2x - 5 - 58
Show work please
Answer:
x= 23.33
Step-by-step explanation:
7=x+2x-5-58
combine like terms
7=3x-63
add 63 to both sides
70=3x
divide by 3
x=23.33
What is the slope of the line shown?
On a coordinate plane, a line goes through (0, negative 3) and (6, 0).
Answer:
1/2
Step-by-step explanation:
On Sunday, a cafe sold 49 cartons of milk. The ratio of cartons of chocolate milk sold to the total number of cartons of milk sold was 2:7. How many cartons of chocolate milk did the cafe sell on Sunday?
Answer:
14
Step-by-step explanation:
49÷7=7
7×2=14
have a good day!
Please i need asp this is me ether failing or passing math!!!
Answer:
Step-by-step explanation:
Hunter is making $46,500 per year and gets a 5.5%
increase in pay. Determine how much money
Munter makes after his increase and show your
work
Answer:
$49,057.50
Step-by-step explanation:
To find how much a percent is of a number you multiply that number and that percent then add the two
SO.... 46,500x5.5% is 2557.50 and then you add the 2 so 46,500 + 2557.50= 49,057.50 hope this helps
Write the positive or negative integer that this situation represents.
Lucy made a $12 profit.
Answer:
12
Step-by-step explanation:
A profit, or money you have, or money you deposit in a bank account is usually positive.
A debt, or money you withdraw from a bank account, or money you give away is usually negative.
Answer: 12
A pizza shop is having a special on meat and
cheese pizzas. A customer may choose one of 3
different crusts, one meat topping, and one
cheese topping. There are 7 different meat
toppings and 8 different cheese toppings
available.
Part A: How many different meat and cheese
pizzas can the shop make?
Answer:
168
Step-by-step explanation: