Answers
Answer:
24
Step-by-step explanation:
You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.
[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]
Now isolate a on one side and solve for a.
[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]
Related Questions
A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 72 square feet. Find the length of the rectangle.
Answers
Answer:
9 ft
Step-by-step explanation:
Atea = length* width
what two numbers multiply to 72 but are one number apart
9 * 8
9 is the length since the width is given as being shorter.
other numbers can multiply to 72 but they are not one number apart.
Answer:
9ft
Step-by-step explanation:
after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?
Answers
Answer:
9000
Step-by-step explanation:
The sum of two numbers is twenty-four. The difference of the two numbers is four.
Answers
Answer:
[tex]x + y = 24[/tex]
[tex]x - y = 4[/tex]
Now, add these two equations.
You get,
[tex]2x = 28[/tex]
[tex]x = \frac{28}{2} [/tex]
[tex]x = 14[/tex]
Given,
[tex]x + y = 24[/tex]
[tex]14 + y = 24[/tex]
[tex]y = 24 - 14[/tex]
[tex]y = 10[/tex]
You can test this to the other equation as well.
[tex]x - y = 4[/tex]
[tex]14 - 10 = 4[/tex]
Hence, the two numbers are 14 and 10.
what is the value of 17-2(5-3)
Answers
Answer:
13
Step-by-step explanation:
17-10+6
7+6=13
hope it helps
The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite
Answers
9514 1404 393
Answer:
one solution; (x, y) = (4/3, 11/3)
Step-by-step explanation:
The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.
__
The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.
Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.
Increase £15837.77 by 18.5% Give your answer rounded to 2 DP.
Answers
Answer:
£18, 767.7574
Step-by-step explanation:
15837.77 x 18.5%=2,929.98745
15837.77 + 2,929.98745= 18, 767.7574
Hope this helps! Please ask me freely if you have any questions regarding this.
Answer:
Step-by-step explanation:
100+18.5=118.5
15837.77×118.5 %=18767.75745≈18767.76
$5.95-$2.29 explained step by step
Answers
Answer:
$3.66
Step-by-step explanation:
5.00-2.00 = 3.00
0.95-0.29 = 0.66
3.00 + 0.66 = $3.66 which is the answer
Ok,so:
We don’t need the $ sign now.
So.
1. 5.95 -2.29 which is 3.66!
5 - 2 is 3, and 0.95 - 0.29 is 0.66.
So now add :3 + 0.66 is 3.66
So $3.66!
Hope this helped!
Can Pi be written as a fraction?
Answers
Answer:
no
Step-by-step explanation:
1. Pi is an irrational number, and irrational numbers CANNOT be written as a fraction. Pi is a non-repeating, non-terminating decimal number.
2. While 22/7 and 3.14 is often used as a value for pi, these are just approximations, so they're not completely exact.
a.
Which of the following equations correctly describes how to calculate net income?
net income = (cost of goods sold) - (net sales) - (operating expenses)
b. net income = (operating expenses) - (cost of goods sold) - (net sales)
net income = (operating expenses) + (cost of goods sold) - (net sales)
d. net income = (net sales) - (cost of goods sold) - (operating expenses)
C.
Please select the best answer from the choices provided
Ο Α
B
OD
Answers
Answer:
net income = (cost of goods sold) - (net sales) - (operating expenses)
Step-by-step explanation:
because income is based on sales, thus the cost of how much you got minus all the expenses must be the net income.
(7x)(2xy) how do I rewrite that as a sum
Answers
The outcomes of an experiment and the probability of each outcome are given in the table below. Compute the expectation for this experiment.
Answers
Answer:
Step-by-step explanation:
sum the outcome times the probabilities
5*.5+6*.12+7*.2+8*.08+9*.06+10*.04= 6.2
The expectation of the experiment is the mean or the average value of the experiment
The expectation of the experiment is 6.2
The expectation is calculated using the following formula of expected value
[tex]E(x) = \sum Outcome \times Probability[/tex]
Rewrite the formula properly, as:
[tex]E(x) = \sum x \times p(x)[/tex]
So, we have:
[tex]E(x) = 5 \times 0.5 + 6 \times 0.12 + 7 \times 0.2 + 8 \times 0.08 + 9 \times 0.06 + 10 \times 0.04[/tex]
Evaluate the above equation
[tex]E(x) = 6.2[/tex]
Hence, the expectation of the experiment is 6.2
Read more about expected values at:
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Complete each ordered pair so that it is a solution of the given linear equation. x - 3y=4;(.-3), (-11, ) The first ordered pair is 0-3).
Answers
Answer:
Step-by-step explanation:
x - 3y = 4
x - 3(-3) = 4
x + 9 = 4
x = -5
(-5, -3)
-11 - 3y = 4
- 3y = 15
y = -5
(-11, -5)
I don't see how (0, -3) could be a solution to the equation.
Estimate the product 2.1 x 0.9
Answers
Answer:
2.0 estimated product
1.89 Actual product
Step-by-step explanation:
2.0*1.0=2.0
2.1*1.0=1.89
The product of 2.1 x 0.9 = 1.89
What is Product?A product is something that has been multiplied one or more times. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
Given:
2.1 x 0.9
Now, Multiplying
2 . 1
x 0 . 9
_________
1 8 9
0 0 x
__________
1 . 8 9
Hence, the product of 2.1 x 0.9 = 1.89
Learn more about product here:
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What is the product of 246 and 176?
Answers
Answer:
43296
Step-by-step explanation:
Answer: 43296
Step-by-step explanation:
If you multiply 246 and 176, you get 43296.
A submarine dove to a level of 450 meters below the surface of the ocean. Later it
climbed 270 meters and finally dove 80 meters more. At what depth did it stop?
Answers
Answer:
260 Meters Below the Surface
Step-by-step explanation:
"Dove 450 meters" = - 450
"Climbed 270 meters" = +270
"Dove 80 meters more" = - 80
-450+270-80
-180-80
-180+(-80)
-260 or 260 Meters Below the Surface
A recipe called for the ratio of sugar to flour to be 10:3, if you used 70 ounces of sugar, how many ounces of flour would you need to use
Answers
Answer:
21 ounces of flour
Step-by-step explanation:
10/3 = 70/x
isolate the so that it is on the top, so multiply by x on the right and on the left
this gives you:
x*10/3=70
try to isolate x and multiply by 3 to get rid of the denominator
x*10=70*3
x*10= 210
finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it
x= 210/10
x=21
you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps
Answer:
You would need 21 ounces of flour
Step-by-step explanation:
sugar:flour
10:3
10x7=70
70:?
3x7=21
70:21
- 5/2 divided by 5)7
Answers
Answer:
-7/2
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \boxed{ - \frac{7}{2} }[/tex][tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
let's solve ~
[tex] \dfrac{ - 5}{2} \div \dfrac{5}{7} [/tex][tex] \dfrac{ - 5}{2} \times \dfrac{7}{5} [/tex][tex] \dfrac{ - 1 \times 7}{2 \times 1} [/tex][tex] - \dfrac{7}{2} [/tex]How many intervals are there in the hisogram in figure 1.4?
Answers
Answer: 5 to 20 intervals.
Step-by-step explanation:
PLEASE HELP ME. HAVE TO BE DONE IN FRACTION
3/4 - 7/9 + 2/3 =
Answers
Answer:
23/36
Step-by-step explanation:
use BODMAS
fist add 3/4+2/3
to get 17/12
then subtract 17/12-7/9
to get 23/36
Find the slope and y intercept of the line 3x+2y=-6
Answers
Answer:
Step-by-step explanation:
Slope - -3/2
y-intercept- (0,-3)
PLZ HELP ME SOMEONE!!!
Answers
Answer:
131
Step-by-step explanation:
Hope this helps
Answer:
the answer is 130.9 round it up and you get 131
Step-by-step explanation:
2/3 : 2/6 as a unit rate
Answers
Answer:
3/1
Step-by-step explanation:
Simplify (−4.5)(−6)(5.4).
i need the answer pls
Answers
Answer:
145.8
Step-by-step explanation:
−4.5 x −6 x 5.4
Answer:
the answer is 145.8
Step-by-step explanation:
sorry if I did it wrong
−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible
Answers
Answer:
Hello, the simplified expression would be:
7x + 6
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).
Create an equation for a line passing through point A and perpendicular to BC.
y=
X +
Reset
Next
Answers
Answer:
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of BC using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )
[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute A (3, 8 ) into the partial equation
8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx+c
where m is the slope , and c is the intercept on y axis.
The equation of the line BC for points B(7,5), and C(2,3) is
y- y' = m(x-x')
m = 2/5
and c =
y-5 = (2/5)x - (14/5)
y = (2/5)x+(11/5)
The slope of the line perpendicular rot this line is given by
as the product of two perpendicular lines should be -1
m = -5/2
y = (-5/2)x +c
8 = (-15/2) + c
8 +(15/2) = 0
31/2 = c
Therefore the equation for a line passing through point A and perpendicular to BC is
2y = -5x +31
To know more about equation of a Straight Line
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What are the terms in the expression 2d + 7 + 5f?
ASAP
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
Answers
2d, 7, and 5f i hope this helps
Answer:2d,7,and 5f
Step-by-step explanation:
A number that has more than two factors is a
Answers
Composite number? I’m not sure if that’s what you’re working on but it’s a true statement.
I need an answer ASAP besties- I’m currently crying rn
Answers
Answer:
126/25 or 5.04
Step-by-step explanation:
No weird websites ONLY HElP
Nico uses a uniform probability model for an experiment using a deck of 40 cards. There are 10 blue cards, 10 red cards, 10 green cards, and 10 yellow cards in the deck. Cards will be drawn one at a time and then replaced in the deck before another card is drawn. He uses the probability model to determine the probability of drawing a green card or a red card. What is P(green or red)? Enter your answer as a simplified fraction in the box.
Answers
Answer:
it's 1/2
50%
Step-by-step explanation:
i did the quiz in k12 ND GOT IT RIGHT HOPE THIS HELPS, IF ITS RIGHT CAN YOU PLS MARK ME THE BRAINLIEST.
Answer: The answer is 1\2 or 50%
Explanation: I took the test and this was right
Hope this helps
[tex]77 \times 5 \: equal \: what \\ [/tex]
what is the answer
Answers
Answer:
385 is the result of multiply 77 by 5
77x5=385
