Answer:
The other leg is 12 cm long.
Step-by-step explanation:
c
2
=
a
2
+
b
2
,
where:
c
is the hypotenuse, and
a
and
b
are the other two sides (legs).
Let
a
=
9 cm
Rearrange the equation to isolate
b
2
. Plug in the values for
a
and
c
, and solve.
b
2
=
c
2
−
a
2
b
2
=
(
15 cm
)
2
−
(
9 cm
)
2
Simplify.
b
2
=
225 cm
2
−
81
cm
2
b
2
=
144 cm
2
Take the square root of both sides.
b
=
√
144 cm
2
Simplify.
b
=
12 cm
Answer:
14.14 cm
Step-by-step explanation:
using the Pythagorean theorem:
?² = 15² - 5² = 225 - 25 = 200
? = √200 = 14.14 cm
Evaluate: Show your work
Find the value of the variable.
34+5x=64
PLEASE HELP ME. I could really use your help.
find the solution for 4x+6y=16 -7x+2y=-3
Answer:
Step-by-step explanation:
==
Benita spent 25% of her money on new shoes. The
shoes cost $20. How much money did she have
before buying the new shoes?
7th grade math
The sales tax on an item is 6.5%. The total cost of the item is the price, p, plus the tax. Which expression represents the total cost?
A. 0.935p B. p + 1.065p C. 1.065p D. p + 6.5p
Answer:
B
Step-by-step explanation:
You add tax to the price not multiply
Answer:1.065p
Step-by-step explanation:
What is the height of the building? need help ASAP!
Answer:
178.2 ft
Step-by-step explanation:
[tex] \sin(60) = \frac{x}{200} \\ \frac{ \sqrt{3} }{2} = \frac{x}{200} \\ x = 100 \times \sqrt{3}[/tex]
So,
[tex]h = 5 + x = 5 + 100 \times \sqrt{3} = 178.2[/tex]
An orchard has 986 orange trees. The number of rows exceeds the number of trees per row by 5 . How many trees are there in each row?
Answer:
918.60
Step-by-step explanation:
dont mind my handwriting
use the graph of the function f shown to determine f(-3)
I need help with this please graphing is too complicated. If anyone can help I would be very happ.
The table shows Kayden's quiz scores for a semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
45 48 42 47 43
Mean =
Standard deviation =
Answer:
The mean is of 45.
The standard deviation is 2.28.
Step-by-step explanation:
The mean is the sum of all values divided by the number of values.
The standard deviation is the square root of the sum of the difference squared between each value and the mean, and divided by the number of values.
Mean:
[tex]M = \frac{45 + 48 + 42 + 47 + 43}{5} = 45[/tex]
The mean is of 45.
Standard deviation:
[tex]M = \sqrt{\frac{(45-45)^2 + (48-45)^2 + (42-45)^2 + (47-45)^2 + (43-45)^2}{5}} = 2.28[/tex]
The standard deviation is 2.28.
How many ways can three people be selected from a group of seven people if order
DOES matter?
Answer:
210 ways
Step-by-step explanation:
The is a permution problem.
Formula for permutations of r things taken from n things is
[tex]P(n,r) = \frac{n!}{(n - r)!}[/tex]
[tex]\frac{7!}{(7 - 3)!} = \frac{7!}{4!} = 7*6*5 = 210[/tex] ways
Scott wants to ride his all terrain vehicle on a trail that is 30 miles long. If Scott rides at a constant rate of 15 mph, how long will it take him to ride the whole trail?
A. 2 hr.
B. 3 hr.
C. 5 hr.
D. 8 hr.
Answer:
3hr
Step-by-step explanation:
Answer:
2 hrs.
Step-by-step explanation:
30 miles of 15 mph.
(of means divided)
30 divided by 15 = 2 (hrs)
jam brought three shirts for $3900 what is the cost of five shirts
Answer:
6,500
Step-by-step explanation:
Answer:
6500
Step-by-step explanation:
3900 divided by 3 is 1300 which is the cost of 1 shirt, so 1300 times 5 is 6500
A pizza delivery chain advertises that it will deliver your pizza in 30 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 30 minutes. For the simple random sample of 9 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 35.4 minutes with a standard deviation of 7.6 minutes. Assume that the population distribution is approximately normal.
Required:
a. Perform a hypothesis test using a 0.05 level of significance.
b. State the null and alternative hypotheses for the test.
Answer: B
Step-by-step explanation: So that you know you are only getting the best for what YOU PAID for.
Helpppppp pleaseeeeeeee
Answer:
16 2/3
Step-by-step explanation:
Can you figure out the answer?
You may find using a number line to be helpful. Enter your answer as a simplified mixed number, if necessary.
4(− 2/3 ) =
Answer:
-2 2/3 or as a mixed number -8/3
Step-by-step explanation:
Answer: -2 2/3
Step-by-step explanation:
Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided.
Lower bound = 0.298
Upper bound = 0.822
n = 1200
a. The point estimate of the population proportion is _____.
b. The margin of error is _____.
c. The number of individuals in the sample with the specified characteristic is _____.
Answer:
a. 0.56
b. 0.262
c. 672
Step-by-step explanation:
Confidence interval:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the result of the subtraction between these two bounds divided by 2.
a. The point estimate of the population proportion is
Mean of the bounds. So
(0.298 + 0.822)/2 = 0.56
b. The margin of error is
(0.822-0.298)/2 = 0.262
c. The number of individuals in the sample with the specified characteristic is
0.56 of 1200. So
0.56*1200 = 672
1. Use ( − 4) 2 − 28 = 8 for the following: a. Explain why ( − 4) 2 − 28 = 8 has two solutions. (5 pts) b. Solve the equation to find the solutions. Show your work. (5 pts)
Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.
For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.
When we subtract 28 from 16, we get -12.
But if we add 28 to -12, we get 16 again.
So we have two values of x that satisfy the equation: x = -4 and x = 4.
b. We can solve the equation by adding 28 to both sides:
(-4)² - 28 + 28 = 8 + 28
Simplifying, we get:
(-4)²= 36
Taking the square root of both sides, we get:
-4 = ±6
So the two solutions are:
x = -4 + 6 = 2
x = -4 - 6 = -10
Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ3
please help only with number one
Answer:
so, where the dotted line is that is called the height, so you would times it and find your answer.
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
Answer:
You will need 50.54 liters of gas.
Step-by-step explanation:
This question is solved by proportions.
495km trip:
The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.
Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.
Number of gallons:
23.0 mi/gal.
So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.
How many liters?
Each gallon has 3.78 liters.
So 13.37 gallons will have 13.37*3.78 = 50.54 liters.
A zoo has 15 toucans and 75 parrots What is the ratio of the number of toucans to the number or parrots in the zoo
Answer:
Since there is 15 toucans and 75 parrots the ratio would be written as
15/75
Step-by-step explanation:
As of 15 to 75. Then write out with a colon between the too! 15:75
Hope this helped and have a wonderful day!! <33
Please find the surface area
Answer:
so 3ft x 5ft would be 15ft for the top one or if its addition it would be 8ft
Step-by-step explanation:
Anna and her friends are making their own puzzles by drawing and painting on pieces of cardboard Anna cuts her puzzle so that there are 12 rows and 15 columns how many pieces are in Anna's puzzle
Answer:
180, because you'd do 12 x 15
Which answer choice below describes an equation?
A
7 - X
B
x is 10 times greater than y
3
+n
5
D
Six times a number
b
x is 10 times greater then y 3+n 5
Pls help ASAP PLSSSS!!!
Answer:
D
Step-by-step explanation:
225 is the closest to point (200, 200)
Answer:
c
Step-by-step explanation:
trust
If p and q vary inversely and p is 8 when q is 8, determine q when p is equal to 16.
Answer:
25
Step-by-step explanation:
i smarte
help I'll give brainliest!!!
LMNP is rotated 180° clockwise around the origin. M 3, 4) N54) 2 RE PX90) What are the coordinates of L'? A. L'(1,0) B. L'(-1,0) c. l'(0,1) D. L'(0, -1)
Answer:
It’s (-3, -4)
Step-by-step
I did this program too.
There is 20% of a 50lb. Bag of dog food left. How much has been used?
Answer:
40 lbs was used
Step-by-step explanation:
If there is 20% left, that means 80% was used
50 *80%
Change to decimal form
50 *.80
40
40 lbs was used
1. Find the derivative of f(x), at x = 10
f(x) = - 5x² + 13x
Answer:
-10x+13
Step-by-step explanation:
Im not 100% sure but i tried!
When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).
What is the distance from Beth’s house to the coffee shop? Each grid line on the coordinate plane represents 1 mile.
10 miles
square root of 8
square root of 52
52 miles
Answer:
the answer is c square root 52
Step-by-step explanation:
just got a 100
The distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.
What is a distance formula?The distance formula is used to measure the distance between the two points on a coordinate plane.
Let the two coordinate point on a coordinate plane is ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]). Thus, the distance between these two can be given as,
[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).
Here, each grid line on the coordinate plane represents 1 mile.
Using the distance formula for these point, the distance from Beth’s house to the coffee shop can be given as,
[tex]d=\sqrt{(4-(-2)^2)+(3-(-1))^2}\\d=\sqrt{6)^2+(4)^2}\\d=\sqrt{36+16}\\d=\sqrt{52}[/tex]
Hence, the distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.
Learn more about the distance formula here;
https://brainly.com/question/661229
A snake at the zoo is 4 feet long. A scale model of the snake is 2 inches long. What is the scale factor?