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3 years ago

BRAINLIEST FOR FIRST ANSWER!!!! The right rectangular prism will be sliced parallel to its base along the dashed line.

Mathematics

2 answers:

Julli [10]3 years ago

5 0

Area is 8
hope it helped

stepan [7]3 years ago

3 0

Rectangle and the area is 8

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(Problem on image.)...

ANEK [815]

Hey there! :)

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in!

a² + b² = c² → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

b² = 400 - 100

Simplify.

b² = 300

Get the square root of b² & 300.

$\sqrt{b^2} = \sqrt{300}$

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~

7 0

2 years ago

Which sequence has a common ratio of 2? a{20, 40, 80, 160, 320, 640, …} b{20, 10, 5, 2.5, 1.25, 0.625, …} c{20, 15, 10, 5, 0, -5

Elis [28]

Answer:

Step-by-step explanation:

40/20=2

80/40=2

Therefore the common ration is 2

4 0

2 years ago

Whats the value of x?

Nutka1998 [239]

Answer:

x = 8 units, measure of angle AFE = 60 degrees, measure of angle CFD = 60 degrees

Step-by-step explanation:

Finding x:

You know all three of the given measures add up to 180 because they are on the same side of the line. Write an equation and solve for x.

6x + 2 + 8x + 6 + 7x + 4 = 180

21x = 168 --> x = 8

Angle AFE:

Substitute the value of x in the given measure.

7x + 4 = 7*8 + 4 = 56 + 4 = 60

Measure of angle CFD:

Angle AFE is it's vertical angle, so their measures (60 degrees) are equal.

7 0

2 years ago

What is the value of the expression 2 + 32 ⋅ (5 − 1)?

cestrela7 [59]

Answer:

2+32 x (5-1) = 2 +32 x 4 = 2 + 128 = 130

Answer is 130

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all students at the

Pavel [41]

Answer:

98% confidence interval for the average age of all students is [24.302 , 25.698]

Step-by-step explanation:

We are given that a random sample of 36 students at a community college showed an average age of 25 years.

Also, assuming that the ages of all students at the college are normally distributed with a standard deviation of 1.8 years.

So, the pivotal quantity for 98% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average age = 25 years

$\sigma$ = population standard deviation = 1.8 years

n = sample of students = 36

$\mu$ = population average age

So, 98% confidence interval for the average age, $\mu$ is ;

P(-2.3263 < N(0,1) < 2.3263) = 0.98

P(-2.3263 < $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < 2.3263) = 0.98

P( $-2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < ${\bar X - \mu}$ < $2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

P( $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < $\mu$ < $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ , $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ]

= [ $25 - 2.3263 \times {\frac{1.8}{\sqrt{36} }$ , $25 + 2.3263 \times {\frac{1.8}{\sqrt{36} }$ ]

= [24.302 , 25.698]

Therefore, 98% confidence interval for the average age of all students at this college is [24.302 , 25.698].

8 0

2 years ago