Answer:
x = 3√7
Step-by-step explanation:
The Pythagorean theorem states that in a right triangle, the sum of the legs squared and added together is equal to the hypotenuse (the longest side and the one across the 90° angle)
If the legs are a and b, respectfully, and the hypotenuse is c, the equation would be:
a² + b² = c²
Let's apply this to the problem given.
9² + x² = 12²
Simplify.
81 + x² = 144
Subtract 81 from both sides.
x² = 63
Take the square root.
√(x²) = √63 = √(9 * 7) = √(3² * 7)
x = 3√7
Check the answer.
9² + (3√7)² = 12²
81 + 9 * 7 = 144
81 + 63 = 144
144 = 144
Thus, the answer is correct.
I hope this helps! Feel free to ask any questions! :)
what's
[tex] \sqrt{ {25}^{2} - 15 {}^{2} } [/tex]
Answer:
20 Ans ..
Step-by-step explanation:
Given:
=√25²-15²
Solution:
= √625-225
= 20 ans .....
Shed A and Shed B are both rectangular prisms. Shed A has a length 6½ feet, width 6½ feet, and height 8½ feet. Shed B has length and width twice as long as Shed A, but has the same height. What is the volume of Shed B?
Answer:
1436.5 ft^3
Step-by-step explanation:
Shed B
L = 2* 6.5 = 13
W = 2*6.5 = 13
H = 8.5
Formula
Volume = L*w*h
Solution
Volume = 13 * 13 * 8.5
Volume = 1436.5
Please help!!! Will give brainlist!!!
Answer:
[tex]\frac{9}{14} \ chance[/tex]
Step-by-step explanation:
1. Approach
Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is, [tex]\frac{desired\ outcomes}{total\ outcomes}[/tex].
It is given that
- (63) paid with cash
- (22) paid with a debit card
- (13) paid with a credit card
First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.
2. Find the total number of customers
Add up all of the given customers, regardless of their payment type.;
[tex](cash)+(credit)+(debit)\\\\= 63 + 22 + 13\\\\= 98[/tex]
(98) total customers.
3. Find the probability
Now set up the probability, remember, the formula for finding the probability is,
[tex]\frac{desired\ outcomes}{total\ outcomes}[/tex]
The desired outcome is the number of customers who pay with cash = (63)
The total outcome is the number of customers who when to the business; (98)
Substitute in the numbers and simplify,
[tex]\frac{desired\ outcomes}{total\ outcomes}[/tex]
[tex]\frac{63}{98}[/tex]
Both of these numbers are divisible by (7), hence divide the fraction by (7)
[tex]\frac{9}{14}[/tex]
What is this supplementary angle?
Answer:
Step-by-step explanation:
Supplementary angles sum to 180 degrees.
x+118=180
x=62 degrees
Answer:
62°
Step-by-step explanation:
A supplementary angle is 180°.
180-118= 62
3. Which name does not apply to the angle pair?
A. vertical
C. supplementary
B. adjacent
D. right angles
12
Answer:
D. right angle
Step-by-step explanation:
I think D is because
right angle is a an angle of exactly 90°
*adjacent angle is two angles with a common vertex, sharing a common side and no overlap
*supplementary angle is two angle, the sum of who's measure is 180
* vertical angle is two angle who's sides form two pairs of opposite rays (straight line)
The ratio on a keyboard of number keys to letter keys is 5:13. If a manufacturer produced 156 letter keys , then how many number keys would need to be produced?
Answer:
60 number keys would need to be produced
Step-by-step explanation:
5 : 13
? : 156
156 / 13 = 12
5 x 12 = 60
The value of your favorite car was $40,000 in 2019. You can only afford to pay $25,000. The depreciation rate is 12%. When can you afford the car?
Answer:
$40,000 Car Loan. Calculate the Monthly Payment.
Step-by-step explanation:
Answer:
3.13 years
Step-by-step explanation:
if that 12 percent was how much is depreciated each year
pls :,) i’m begging u
The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10 years. About ____ of the trees have ages between 10 years and 70 years.
Answer:
Not 95%
Step-by-step explanation:
The normal distribution is also known as the Gaussian distribution. About 99.7% of the trees have ages between 10 years and 70 years.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Given that the age of the tree is normally distributed. Also, the following details are known,
Standard Deviation, σ = 10 years
Mean, μ = 40
Now, the z-score and the p-values for the value of 70 and 10 can be written as,
Z = (X-μ)/σ
Z = (70 - 40)/10
Z = 3
The p-value for z-score of 3 is 0.9987.
Z = (X-μ)/σ
Z = (10 - 40)/10
Z = -3
The p-value for z-score of -3 is 0.0013.
Further, the percentage of the trees have ages between 10 years and 70 years is,
Percentage = 0.9987 - 0.0013
= 0.9974
= 99.7%
Hence, About 99.7% of the trees have ages between 10 years and 70 years.
Learn more about Normal Distribution:
https://brainly.com/question/15103234
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[ASPS]WILL GIVE BRAINLIEST
Answer:
hi
Step-by-step explanation:
you should know that the sum of interior angles of a hexagon is 720 so
[tex]4x - 10 + 2x + 8 + x - 12 + 7x + 3x + 135 = 720 \\ 17x = 121 \\ x = \frac{121}{17} = 7.11764[/tex]
Help pls dont answer if you don’t know also I’ll give brainliest
Well, what are the like terms?
5x and 3x
-17 and 21
so combine them and what do you get?
I don't what to just give you the answer I want to also help you.
Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla's bag was ⅝ full, Eliana's bag was ⅖ full, and Nature's bag was ¾ full. How many pounds of soil did they put in the first flower bed altogether?
Answer: 17.75 pounds
Step-by-step explanation:
After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds
Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds
Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds
The number of pounds of soil that they put in the first flower bed altogether will be:
= 6.25 + 4 + 7.5
= 17.75 pounds
what's the value of a ?
[tex]a {}^{2} = 196[/tex]
▶️a = √196
▶️a = 14
VARIFICATION :▶️ 14² = 14×14
▶️ 14² = 196
hence , 14 is the answer..
Ms. Rivera runs a house cleaning business. To save money, she bought a 1-gallon container of concentrated cleaner. She mixed the cleaner with 10 gallons of water. Then, she filled as many 1-pint spray bottles as she could. How many spray bottles did she fill?
Answer:
88 bottles
Step-by-step explanation:
Given
[tex]Cleaner =1\ gallon[/tex]
[tex]Water =10\ gallon[/tex]
Required
Determine the number of 1-pint spray bottles used
First, we get the total gallons of the cleaner and water.
[tex]Total = Cleaner + Water[/tex]
[tex]Total = 1\ gallon + 10\ gallon[/tex]
[tex]Total = 11\ gallon[/tex]
Convert to pints:
[tex]Total = 11 * 8\ pints[/tex]
[tex]Total = 88\ pints[/tex]
To get the number of spray bottles, we divide 88 pints by the size of the pint bottle.
[tex]Number = \frac{88\ pints}{1\ pint}[/tex]
[tex]Number = \frac{88}{1}[/tex]
[tex]Number = 88[/tex]
6. John predicted that gas prices would raise 3.5% in the month of
January. If gas prices actually rose from $2.25 to $2.30, what was his
percent of error? Plzzz answer
Answer:
37.5%
Step-by-step explanation:
Given data
Initila Price= $2.25
3.5% of $2.25
=3.5/100* 2.25
=0.035*2.25
=0.07875
Hence the expected new price is
=0.07875+2.25
=$2.33
The expected increase
=2.33-2.25
=$0.08
The actual increase
=2.25-2.30
=$0.05
Hence the error is
% error= Actual -Expected/Expected*100
% error= 0.05-0.08/0.08*100
% error= 0.03/0.08*100
% error=0.375*100
% error=37.5%
Hence the error is 37.5%
Mr John leased two thousand fifty meter square of land from the city administration. He gave one eighth of his land to his brother. How many meters square did he have left?
Answer:
1793.75 m²
Step-by-step explanation:
Given that :
Total amount of land leased = 2050 m²
Fraction of land given to brother = 1/8
Amount of land given to brother :
1/8 * 2050 = 256.25 m²
Amount of land left :
2050 m² - 256.25 m²
= 1793.75 m²
some one please help me
Answer:
the answer is c. next time figure it out on your own..
Landon owns 16 baseball cards, which is 4 times as many as Phillip owns.
The equation 4p=16 represents this situation where p is the number of baseball cards Phillip owns.
Which number line represents the solution to the equation?
Answer:
B
Step-by-step explanation:
i'm probably wrong but based on the information they give you the most likely answer has to be B. ok- well if you think abt it landon has 16 cards and that's 4 times as many as phillip has. so, phillip's cards could range anywhere between 4 and 16-
sorry if i'm incorrect :/ hope you get a good score or whatever tho
Can someone help me with this
Answer:
B
Step-by-step explanation:
i think its B because the your line is in the negatives and to be specific in -5
and the line that is going to the right that means it is going to the positive so its positive infinet
Hope it's correct
Answer:
hi
Step-by-step explanation:
i think its B
you should inverse the function from x=y line
i cant explain in enlish better than this
hope this helps
if have more questions just ask
Will mark brainliest
Need help with math again
Answer:
x=15
Step-by-step explanation:
x=√(12)²+(9)²
x=√144+81=√225
x=15units
Khawla works mowing lawns and babysitting. She earns an hour for mowing and an hour for babysitting. How much will she earn for hours of mowing and hours of babysitting?
m = 37.5
b = 43.8
mowing = m
babysitting = b
in all 81.3
8) help pls I have the answer I just need to show the work
Which trigonometric function would you use to find “h”, the height of the tree?
Answer: C
Answer:
C
Step-by-step explanation:
Sine: Opposite / Hypotenuse
Cosine: Adjacent / Hypotenuse
Tangent: Opposite / Adjacent
75 = The adjacent of 40
H = The opposite of 40
Tan40 = 75 / h
H = 75Tan40
H ≈ 62.93
The trigonometric function which will be used to determine the height of the tree when the base is 75 ft. is tan(40)
What is trigonometric function?The trigonometric function are the ratio of the sides of the right angled triangle. The functions are sine, cos, tan , cot, cosecant, secant.
How to find the height of the tree?We can easily see that the base is 75 ft. and the height of the tree is h So the height of the tree can be found with the help of tangent function.
tan(40)=h/75
0.84=h/75
h=63 ft.
Hence the height of the tree is 63 ft.
Learn more about the trigonometric functions at https://brainly.com/question/24349828
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??????????help pls?????
Answer: 0.5
Step-by-step explanation:
Given
Line passes through [tex](-10,-30), (0,-25), (10,-20), \text{and}\ (20,-15)[/tex]
The slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Taking any two points: (0, -25) and (20,-15)
Slope is
[tex]\Rightarrow m=\dfrac{-15-(-25)}{20-0}=\dfrac{10}{20}\\\\\Rightarrow m=0.5[/tex]
The height, h, of a plant (in inches) w weeks since it was planted is represented by the equations h=3w+3. How many weeks will it takes the plant to reach one foot.
Answer: 3 weeks
Step-by-step explanation:
We have to note firstly that 12 inches = 1 foot.
The equation given to represent the height in the question, h = 3w + 3.
The number of weeks that it will take the plant to reach one foot will then be:
h = 3w + 3
12 = 3w + 3
3w = 12 - 3
3w = 9
w = 9/3
w = 3
It'll take 3 weeks
pls help me I don't understand
Answer:
[tex]d. \: \: \: 25 {x}^{6} [/tex]
Step-by-step explanation:
Given,
Side of the square
[tex] = 5 {x}^{3} [/tex]
Therefore, area of the square = side × side
[tex] = {5x}^{3} \times 5 {x}^{3} [/tex]
[tex] = 5 \times 5 \times {x}^{3 + 3} [/tex]
[tex] = 25 {x}^{6} [/tex]
Find x. Give your answer in the
simplest form.
x =
Enter the number that belongs in the green box.
Answer:
x = 4
Step-by-step explanation:
sin 30 = x/8
0.5 = x/8
x = 4
Describe how math in middle school differs from
high school math class?
I need help with this can anyone please help
Answer:
56
Step-by-step explanation:
4*7*2 is 56
Hope that helps and please tell me if I am wrong
Round 1 of a tennis tournament starts with 64 players. After each round, half of the players have lost and are eliminated from the tournament. Therefore, in round 2 there are 32 and in round 3 there are 16 players and so on. Can this relationship be modeled by a linear function? Provide evidence to support your claim.
Answer:
It can not be modeled by a linear function
Step-by-step explanation:
The given parameters can be represented as:
[tex](x_1,y_1) = (1,64)[/tex]
[tex](x_2,y_2) = (2,32)[/tex]
[tex](x_3,y_3) = (3,16)[/tex]
Where: x = rounds and y = players
Required:
Determine if it can be represented by a linear function
To do this, we simply calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
and
[tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex]
Using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex], we have:
[tex]m = \frac{32 - 64}{2 - 1}[/tex]
[tex]m = \frac{-32}{ 1}[/tex]
[tex]m = -32[/tex]
Using [tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex], we have:
[tex]m = \frac{16 - 32}{3 - 2}[/tex]
[tex]m = \frac{-16}{1}[/tex]
[tex]m = -16[/tex]
Since both slopes are not the same, the relationship be modeled by a linear function