Answers
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+9^2 = 16^2\\?^2 + 81 = 256\\?^2 = 175\\? = 13.2[/tex]
Thus the missing side length is 13.2 cm
Hope that helps!
Related Questions
How do you convert 3 1/3 yards to inches? Use the drop-down menus to explain your answer.
Answers
Since, there are 36 inches in 1 yard, multiply 3 1/3 by 36
So, 3 1/3 yards = 120 inches
Answer:
120 inches
Step-by-step explanation:
To convert 3 1/3 yards to inches, you first need to figure out how many inches are in one yard. 1 yard=36 inches.
After this, you would turn your mixed fraction into an improper fraction and then multiply by 36 inches. It would look like this:
10/3 * 36/1
Here, you would cancel out the common factors by factoring 36 by 3.
12*3=36 ----> 10/3 * [tex]\frac{3(12)}{1}[/tex] ----->
Lastly, multiply 10 by 12 and your answer would be 120 inches.
a baby weights 7 pounds at birth. the table shows the birth weight after each month of life, up to six months
Answers
Answer:
y = 1x + 7
Step-by-step explanation:
Let's take 2 points, with x being the month and y being the weight as the month is listed first in the graph.
(0, 7) = the 1st point
(1, 8) = the 2nd point
In y=mx+b, m is the slope.
Slope = change in y / change in x = (y₂-y₁) /(x₂-x₁) = (y₁-y₂) / (x₁-x₂) = (8-7)/(1-0) = 1 / 1 = 1 = (7-8)/(0-1) = -1/-1 = 1
Our equation is thus
y = mx + b = y = (1) x + b
Plug one point, such as (1, 8) into this equation to obtain b
8 = (1) (1) + b
8 = 1 + b
subtract 1 from both sides to isolate b
7 = b
our equation is thus
y = (1) x + 7 = 1x + 7
Answer:
w = 1m + 7
Step-by-step explanation:
w = weight
m = months
If we look at the chart, as every month goes by, the baby gains another pound.
Hence, the best way to find the weight is to just add 7 to the months, since in the beginning (at 0 months) the weighs 7 pounds, so if it’s 1 month, the baby would just way 1 more pound.
This is why the formula: w = 1m + 7 works
Because 1 times the value of any month will be the same value, and all you have to do is add 7.
Example:
(x = multiply in this equation)
At 2 months: w = 1 x 2 + 7
Solve:
1 x 2 = 2
2 + 7 = 9
As you can see, all you have to do is fill in the month # in the formula, and you will get your w (weight).
Hope this helps :)
A manufacturer of headphones determines that the cost per unit for a pair of headphones is $38 and that the fixed cost is $24,400. The selling price for the headphones is $99. Find the break-even point.
please help and show the work thank you.
Answers
Answer:
Solve the following equation
Step-by-step explanation:
x is the amount of headphones
38x = 99x + 24400
Find when both sides are equal, that is the break even
the elevator can accommodate at most 1500 lbs.Carl is transporting boxes that weigh 15lbs each. If carl weighs 170 lbs.Write an equation that can be used to determine the most number of boxes Carl can transport using the elevator
Answers
Answer:
15x+170≤1500
Step-by-step explanation:
it is at most 1500, so less than or equal to 1500, and the 15 lbs relies on the number of boxes so 15x and carl weighs 170 so that must be added, equaling to
15x+170≤1500
sin^2(theta)(1+cot^2(theta))-1=0
Answers
(4a^2/3 b^1/2)(2a^1/3 b^3/2)
Answers
Answer:
8ab^2
Step-by-step explanation:
(4a^2/3 x 2a^1/3)(b^1/2 x b^3/2)
8a^(2/3+1/3) x b^(1/2+3/2) = 8a^1 x b^2
Four divided by 1,000 rounded to the nearest whole number
Answers
Answer:
4 ÷ 1,000 = 0.004
Rounding up to 0 as the nearest whole number
Which of the following is a perfect square trinomial?
A. 4x^2 + 20xy - 25y^2
B. 4x^2 - 14xy + 25y^2
C. 4x^2 + 14xy - 25y^2
D. 4x^2 - 20xy + 25y^2
Answers
Answer:
[tex]D.~4x^2-20xy+25y^2[/tex]
Step-by-step explanation:
[tex]4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2[/tex]
a. 25
b. 32
c. 27.2
d. 26.4
Answers
Answer:
27.2
Step-by-step explanation:
sin 54 = opposite / hyp = 22 / x
sin 54 = 22/x
x = 22/sin54 = 27.2
Find the domain & range of the relation
{(-5,13), (6,18), (2,-7), (1,4), (-3,-1)}
Answers
Answer:
Domain: -5,6,2,1,-3
Range: 13,18,-7,4,-1
Step-by-step explanation:
Domain is the independent value/ x / input
Range is the dependent value/ y / output
jon had 20 grapes an sally took 14 how many are left
Answers
how many times should you expect to see heads if a fair coin is tossed 3500 times?
Answers
Answer:
1750
Step-by-step explanation:
If you flip a coin, you should theoretically get heads 50% of the time and tails 50% of the time. So in this case you would get heads 1,750 times.
Wesley can use the equation y=3x to calculate how far he has walked, where y represents the number of miles walked, and x represents the number of hours walked. How many hours must Wesley walk to travel 16.5 miles?
Answers
16.5/3 = 5.5
Step-by-step explanation:
becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)
you need to devide distance by speed to get time.
Round each amount to the nearest hundred to find an estimate of:
3891 ÷ 289
Answers
Answer:
13
Step-by-step explanation:
Estimates are often made by rounding the operands to 1 or 2 significant digits. Here, that is accomplished by rounding each number to the nearest hundred.
__
Rounded to hundreds, the problem becomes ...
3900 ÷ 300
= 39/3 = 13
An estimate of the quotient is 13.
heresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?
96 points
97 points
98 points
99 points
Answers
Answer:
99 points
Step-by-step explanation:
total of scores of 4 tests = 88 + 84 + 88 + 91 = 351
5 tests with an average score of 90:
⇒ total of scores = 5 × 90 = 450
Lowest score of 5th test = 450 - 351 = 99 points
Answer:
99 points
points scored:
88 points , 84 points, 88 points , 91 points, let the fifth test points be "n"
given score with an average 90 points[tex]\sf \rightarrow \dfrac{88 +84+88+91+n}{5} =90[/tex]
[tex]\sf \rightarrow 351+n =90 (5)[/tex]
[tex]\sf \rightarrow n =450-351[/tex]
[tex]\rightarrow \sf n = 99[/tex]
PLEASE EXPLAIN’
Which set of numbers correctly
shows a number, its opposite, and
its absolute value, in that order?
A 98.4
-98.4 98.4
B -74.3 -74.3
-74.3 74.3
C 46.2 46.2 -46.2
D 28.9 -28.9 -28.9
Answers
Answer:
A
Step-by-step explanation:
because -98.4 is the opposite of 98.4 and 98.4 is it's absolute value
An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure.
Which of the following is the angle formed by the sun's rays and the ground?
A.30
B.40
C.50
D.60
Answers
Answer:
The answer should be C=50
Step-by-step explanation:
Answer the question 3523+4353
Answers
Answer:
7,876
Step-by-step explanation:
brainliest please
Need answer ASAP will give BRAINLEST
Please put a full answer thank you
Answers
1. It means they saved $125 in 10 months
2. y = 25/2
Leo is testing different types of greenhouse material to determine which type is most effective for growing strawberry bushes. He purchases two different brands of tarps from a local store. Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. He waters both areas daily. At the end of the study, Leo concludes brand A is more effective in growing strawberry bushes. Is Leo's conclusion valid? please explain how and why so I can understand
Answers
For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.
What is bias?Bias is an error due to sampling or testing by selecting or preferring one outcome over others.
Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.
For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.
Find out more on bias at: https://brainly.com/question/24491228
Answer:
His conclusion is not valid.
He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.
Step-by-step explanation:
.325 equals what fraction
Answers
Answer:
according to desmos scientific calculator, the answer is 13/40
Assume you have two six-sided dice - both numbered 1 to 6 - and add the total of the dice after each roll. Leave all answers as a fraction a/b. What is the probability of rolling a 4
Answers
Tomas used 3 and one-third cups of flour and now has 1 and two-thirds cups left. Which equation can he use to find f, the number of cups of flour he had to begin with?
f + 3 and one-third = 1 and two-thirds
f minus 3 and one-third = 1 and two-thirds
3 and one-third f = 1 and two-thirds
f divided by 3 and one-third = 1 and two-thirds
Answers
Answer : B
Explanation :
f - 3 and one third = 1 and two thirds goes with the word problem.
Answer: B
f - 3 and one third = 1 and two thirds
please help me no links
Answers
Answer:
1. 4
2. 39.3700787 (just round it up)
What is the range of this data set? 64°, 72°, 74°, 68°, 70°, 68°, 68°, 75°, and 44°
Answers
Answer:
31
Step-by-step explanation:
First put your numbers in order
44 , 64 , 68 , 68 , 68 , 70 , 72 , 74 ,
Then subtract the Highest and Lowest numbers by each other
75 - 44 = 31
What is the surface area?
15
yd
15
yd
15
yd
Answers
Answer:
Step-by-step explanation:
(15x15)x6
225x6
1350
How do I get the answer??
Answers
Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
√45 can be written as √9 * √5 (using the rule √ab = √a * √b)√9 simplifies to 3, so it is 3√5Now we can simplify the operation in the parenthesis by combining like terms:
3√5 + √5√5 + √5 + √5 + √54√5Now using the same rule as above, we can multiply the values:
√2(4√5)4√10Your solution is 4√10
3.
Find c when a = -4 and b = 2
a-7
C=-
b
Answers
Answer:
[tex]c = 15[/tex]
Step-by-step explanation:
[tex]b = 2a - 7[/tex]
[tex]b = 2(-4) -7[/tex]
[tex]b = (-8)-7[/tex]
[tex]b = (-15)[/tex]
[tex]c = -(-15)[/tex]
[tex]c = 15[/tex]
Find the question. 1/3 +(5/7)=
Answers
Answer:
22/21
Step-by-step explanation:
1/3 + 5/7
LCM of 3,7 = 3 x 7 = 21
1/3
= 1/3 x 7/7
= ( 1 x 7 )/( 3 x 7 )
= 7/21
5/7
= 5/7 x 3/3
= ( 5 x 3 )/( 7 x 3 )
= 15/21
1/3 + 5/7
= 7/21 + 15/21
= ( 7 + 15 )/21
= 22/21
For context, question 6 is:
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?
Volume formula for a cube is: volume = edge^3
//I have already answered This, I need help with #7, which is:
"If V = 216, what is the edge length of Julie's jewelry box?"
Answers
Answer:
6
Step-by-step explanation:
The inverse of cubed is cubed root. The cubed root of 216 is 6.