Find the value of y and
simplify completely.
Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
A seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degrees.
What is the value of x?
Answer:
x = 150
Step-by-step explanation:
x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630
3x + 180 = 630
3x = 450
x = 150
The value of x is 150
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
We are given that seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degree
Therefore, the sum of all the angles are;
x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630
3x + 180 = 630
3x = 450
x = 150
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Roberto is cutting 3 loaves of homemade bread into halves to give to his neighbors. How many neighbors can he give ½ loaf of bread?
Answer:
6 neighbors
Step-by-step explanation:
1 bread can be given to 2 neighbors when cut in half(1/2). This case, you have 3 bread so 3x2=6
Answer:
6 because 1/2 goes into 3 6 times so your answer is 6 neighbors
Step-by-step explanation:
Bob and Nina make dog leashes . Bob can make 7 leashes in 2 hours and nina can make 4 leashes in 1 hour enter an equation that can be used to find the number of hours,t, it takes bob and Nina to make 60 leashes together. enter the number of hours ,t, it takes bob and Nina to make y0 leashes together
Answer:
8 hours
Step-by-step explanation:
t = time for Bob and Nina to make 60 leashes
Bob = 7 in 2 hr = 3.5 in 1 hr
Nina = 4 in 1 hr
3.5 + 4 = 7.5 leashes per hour
t = 60/7.5 = 8 hours
Find the value of x.
3x-5
2x+1
I have 30 but I need to double check, please help
Answer:
well the answer for the first one is -15
3) Which property is used in the following ?
9 x (4 + 2) = 9 x 4 + 9x2
Answer:
distributive
Step-by-step explanation:
You broke down the problem and made it longer instead of solving the parenthesies.
help i don’t really know how to do this
Answer:
A
Step-by-step explanation:
Raj got 51 out of 60 points on his quiz what percentage of the total points did raj get
Help please it’s due tonight
Answer:
So you just calculate the distance from.point 1 to 2 and then from 2 to 3 and then from 3 to 1. then sum them all up and you get the perimeter
After you sum P1+P2+P3 you should get 13.83The perimeter of an isosceles triangle is 14 cm. One side is twice the length of another side. Find the length of each side of the triangle.
Answer:
7
Step-by-step explanation: 14 - 7 7
If f(x) = x and g(x) = 2, what is (f•g)(x)?
Answer:
A
Step-by-step explanation:
(f*g)(x)=(2)*(x)=2x
A
14.36 subtracted by 15.12 ?
Answer:
-0.76
Step-by-step explanation:
Answer:
-0.76
Step-by-step explanation:
this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76
What is the area of this triangle?
Answer:
sorry I don't know buddy but have a nice day
Step-by-step explanation:
2-_7372773648++_+$
If you deposit $5000 into an account paying 8.25% annual interest compounded
semiannually, how long until there is $9350 in the account?
Answer:
2 t
2 t
2 t
2 t
0.0825 9350 5000 1
2
9350 5000(1.04125)
1.87 1.04125
log(1.87) log(1.04125 )
log1.87 (2t)(log1.04125)
log1.87 2t
log1.04125
15.48512579 2t
t 7.7
Step-by-step explanation:
the answer is 7.7
there will be $9350 in the account after 7 years and 9 months.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.
Given, If you deposit $5000 into an account paying 8.25% annual interest compounded semiannually.
To calculate time until there is $9350 in the account.
So,
From the general formula of Compound interest:
A = P(1 + r/n)^nt,
where P is the principal balance,
r is the interest rate,
n is the number of times interest is compounded annually,
and t is the number of years,
In our case,
A = 9350
p = 5000
r = 8.25
n = 2
Thus,
9350 = 5000(1 + 8.25/2%)^2*t
(1 + 8.25/2%)^2*t = 9350/5000
t = 7 years 9 months
Therefore, there will be $9350 in the account after 7 years and 9 months.
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the diagram shows a convex polygon, what is the value of b?
a paper drinking cup in the shape of a cone has a height of 12 cenimeters and a diameter of 10 cenimeters. which of the following is closest to the volume of the cup in cubic cenimeters? select one: A) 314cm B) 418cm C) 942cm D) 1,256cm
Answer: Is A
Step-by-step explanation:
I don't know if I am completely correct
A fence is being built in the shape of a right triangle. Each leg is 30 feet
long. What is the measure of the longest side of the triangle?
Answer:
42.42641
Step-by-step explanation:
Find the 13th term of the geometric sequence 4, -16, 64, ...
Answer:
67108864
Step-by-step explanation:
Simply multiply by -4 until its the 13th number.
4. What is the volume of the cone shown below?
Round to the nearest tenth.
5 ft.
d = 2 ft.
Answer:
5.2 cubic ft
Step-by-step explanation:
took the test
The volume of given cone is 5.23 cubic feet.
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cone[tex]v = \frac{1}{3} \pi r^{2} h[/tex]
where,
v is the volume of cone
r is the radius of cone
h is the height of cone
According to the question we have
Diameter of cone is 2ft
⇒ radius of the cone = [tex]\frac{2}{2} = 1 feet[/tex]
Height of the cone is 5ft.
Therefore,
The volume of the cone = [tex]\frac{1}{3}(1)\pi( 1)^{2} (5)[/tex]
Volume of cone = [tex]\frac{1}{3} (3.14)(1)(5) = 5.23 cubic feet[/tex]
Hence, hence the volume of given cone is 5.23 cubic feet.
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Can somebody explain to me how to do this
Answer:below hopes it helps the link should help aswell
Step-by-step explanation:
https://mathsolver.microsoft.com/en/solve-problem/%60frac%7B%2010%20%7B%20q%20%20%7D%5E%7B%205%20%20%7D%20%20%20%7B%20w%20%20%7D%5E%7B%207%20%20%7D%20%20%20%20%7D%7B%202%20%7B%20w%20%20%7D%5E%7B%203%20%20%7D%20%20%20%20%7D%20%20%20%60frac%7B%204%20%7B%20%60left(%20%7B%20q%20%20%7D%5E%7B%206%20%20%7D%20%20%20%60right)%20%7D%5E%7B%202%20%20%7D%20%20%20%20%7D%7B%20%20%7B%20w%20%20%7D%5E%7B%20-5%20%20%7D%20%20%20%20%7D
10
Sandy works at a clothing store. She makes $8 per hour plus earns 10% commission on her sales. She worked 76 hours over the
last two weeks and had a total of $1,913 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
OA. $252
OB. $799
OC. $191
OD
$608
Reset
Submit
of 10
Answer:
B
Step-by-step explanation:
= 8 * 76 =
10% * $1,913 = 191.3
Total = $608 + $191.3
= $799.3 approximately $799
The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed
function?
y=e^x+3.
The given graph of the function y = e^x
he transformation occur when we add c to the parent function y = e^x giving us a vertical shift c unit in the same direction as the sign.
The y axis of a coordinate plane is the vertical axis. When a function shifts vertically, the value of y changes.
The given parent function: y = e^x,
we can now graph the vertical shift alongside i.e, c=3
Then, the upward shift function is, y = e^x + c
Substitute the value of c=3,
then, the transformed equation becomes, y = e^x + 3
as it goes through (0,4).
∴The equation y = e^x + 3 represents the transformed function.
Answer:
y=e^x+3.
Step-by-step explanation:
Look at triangles TUV and T'U'V'.Which best explains the transformation of triangle TUV to form triangle T'U'V'?
Answer:
The answer is D or Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle T"U"V" . I just took the test and I hope I helped : )
Step-by-step explanation:
How many W's in the M's?
Answer:
There are 3 W's in the M's
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Which symbol correctly compares the mixed number and the improper
fraction?
1. Find the measure to S
63
153
68
148 all are in degrees btw
16x0 + 2x2 • y –1 Evaluate the expression for x = 2 and y = 4.
Answer:
24
Step-by-step explanation:
0+8*3
Plz someone help me with this problem for math
Help me with this assignment problem
Answer:
the answer is 6
Step-by-step explanation:
[tex] | - \frac {24}{ {2}^{2} } | \\ | - \frac{24}{4} | \\ | - 6| \\ 6[/tex]
Answer:
I believe the answer is 6 , correct me if Im wrong
what is the area of this shape?
Answer:
10 I think
Step-by-step explanation:
well we add it all together 2+1+3+4
Answer:
9
Step-by-step explanation:
Split up the shape into 2 seperate shapes (I did a trapezoid and)
Rectangle:
1*4 = 4
Trapezoid:
3 - 1 = 2 (for trapezoid's height)
4 - 2 = 2 (for trapezoid's shorter base)
(3 * [tex]\frac{1}{2}[/tex]) * (2 + 4) =
1.5 * 6 = 9