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3 years ago

What is area of this

Mathematics

1 answer:

nata0808 [166]3 years ago

3 0

Answer:

A = 20.5 sq units

Step-by-step explanation:

you have the height of 5 but need to figure out the base

we can use the Pythagorean Theorem two times to find it

1) a² + 5² = 7²

a² = 49-25

a = $\sqrt{24}$ = $\sqrt{4}$ · $\sqrt{6}$ = 2 $\sqrt{6}$

2) b² + 5² = 6²

b² = 36-25

b = $\sqrt{11}$

Base = 2 $\sqrt{6}$ + $\sqrt{11}$

A = 1/2 x 5· (2 $\sqrt{6}$ + $\sqrt{11}$ )

A = 2.5 · (2 $\sqrt{6}$ + $\sqrt{11}$ )

A = 2.5(8.2)

A = 20.5

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Match the graph of:<br><br> please help it’s for a midterm exam

nadezda [96]

Answer:

Step-by-step explanation:

Since the inequality sign is greater than or equal to, we need a solid line with the color filled at the top of the graph. This already eliminates answer choice A or D.

Since we know it has to have a solid line, the answer is B.

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3 years ago

45 minus 4.5. Show work

Dmitrij [34]

Let's do subtraction by first starting with the ones place and then the tenths place of the subtrahend.
45-4=41; 44, 43, 42, 41
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3 years ago

A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level

grandymaker [24]

Answer:

a. True

Step-by-step explanation:

By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.

In the given question the null hypothesis is

H0: u ≤ 1 hour and Ha: u > 1 hour

So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

The given statement is true.

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3 years ago

The equation of line / is y=3x/a +5, where a is a positive constant. If the value of a in this equation is doubled, then the res

Anettt [7]

The resulting equation will represent a line whose slope is 1/2 times the slope of the line

<h3>How to determine the slope of the new line?</h3>

The equation of the line is given as:

y = 3x/a + 5

The constant a is a positive constant.

So, when the value of a in the equation is doubled, we have:

y = 3x/2a + 5

A linear equation is represented as

y = mx + b

Where m represents the slope.

So, we have:

m1 = 3/a

m2 = 3/2a

Substitute m1 = 3/a in m2 = 3/2a

m2 = 1/2 * m1

Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line

Read more about linear equation at:

brainly.com/question/14323743

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2 years ago

On each of three pieces of paper a three digit number is written two of the digits are covered . The sum is 826. What is the sum

Ket [755]

Answer:

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 1<u>0</u>7 + _26 = 826

350 + _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 1<u>5</u>7 + _26 = 826

400 + _26 = 826

_26 = 826 - 400

_26 = 426

The covered digit is in the position of 4

SO;

<u>4</u>26 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two covered digits are = 5 + 4 = 9

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3 years ago