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NeTakaya
2 years ago
10

Help picture below problem 14

Mathematics
1 answer:
AlexFokin [52]2 years ago
8 0

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.

     *<em>look at the image I attached for a better explanation</em>

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    ?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8

Thus the <u>missing side length is 8 cm</u>

Hope that helps!

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Steven wants to fill a 20gallon tank with water. If he uses2 1/2 gallon container to fill the tank, how many times must the cont
aliina [53]

Answer:8

Step-by-step explanation:

2 1/2 +2 1/2 + 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2=20

5 0
3 years ago
Read 2 more answers
Which of these numbers are rational? (Choose all that apply)
dezoksy [38]

Answer:

-7

Step-by-step explanation:

3 0
3 years ago
How do I find the y intercept in a fraction
Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}

The formula to calculate the slope is the following:

m=\frac{y_2-y_1}{x_2-x_1}

The points are (-6, -9/2) and (4,3), replacing:

m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}

The equation is:

y=\frac{3}{4}x

Therefore, the true statements are:

• Both functions have the same slope

,

• The linear equation does not have a y-intercept

,

• The table and the grahp express an equivalent function

8 0
1 year ago
The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard devi
son4ous [18]

Answer:

Step-by-step explanation:

Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = length of time

u = mean time

s = standard deviation

From the information given,

u = 2.5 hours

s = 0.25 hours

We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as

P(2 lesser than or equal to x lesser than or equal to 3)

For x = 2,

z = (2 - 2.5)/0.25 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 3,

z = (3 - 2.5)/0.25 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(2 lesser than or equal to x lesser than or equal to 3)

= 0.97725 - 0.02275 = 0.9545

6 0
4 years ago
Can someone please help me and explain? please
mariarad [96]
Composite figure is made up of 4 triangles and a square.

Area of Square = Length x Length 
Area of Square = 12 x 12
Area of Square= 144 cm²

Area of triangle = 1/2 x base x height
Area of triangle  = 1/2 x 12 x 8 
Area of triangle  = 48 cm²

Area of 4 Triangles = 48 x 4
Area of 4 Triangles = 192 cm²

Total Area = 144 + 192 = 336 cm² 

\Longrightarrow \boxed { \boxed { Answer : 336 cm^{2} }}


4 0
4 years ago
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