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3 years ago

A triangular flag has an area of 22 cm². Jon measures the height as 8 cm, what is the base length?

1 answer:

4 0

The base length is 5.5 cm.

Explanation:

Area of triangle = base x height x 1/2

Let b cm be the base length of the triangular flag.

22 = b x 8 x 1/2

22 x 2 ÷ 8 = b

b = 44 ÷ 8

b = 5.5

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Evaluate the function. g(x)=10x+3 g(19.6)=

Zolol [24]

Answer:

199

Step-by-step explanation:

plug in x=19.6, then

g(19.6) = 10 * 19.6 +3= 199

7 0

3 years ago

Analyze the diagram below and complete the instructions that follow. 550 450

svetlana [45]

Answer:

130 degrees

Step-by-step explanation:

let the angle be x

2x+45+55=360(Sum of angles in quad)

2x=260

x=130

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3 years ago

You are an assistant director of the alumni association at a local university. You attend a presentation given by the university

NNADVOKAT [17]

Answer:

(0.102, -0.062)

Step-by-step explanation:

sample size in 2018 = n1 = 216

sample size in 2017 = n2 = 200

number of people who went for another degree in 2018 = x1 = 54

number of people who went for another degree in 2017 = x2 = 46

p1 = x1/n1 = 0.25

p2 = x2/n2 = 0.23

At 95% confidence level, z critical = 1.96

now we have to solve for the confidence interval =

$0.25 -0.23 ± 1.96*\sqrt{((1 - 0.25) * 0.25)/216 + ((1 - 0.23) *0.23/200}$

= 0.02 ± 1.96 * 0.042

= 0.02 + 0.082 = 0.102

= 0.02 - 0.082 = -0.062

There is 95% confidence that there is a difference that lies between - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.

There is no significant difference between the two.

5 0

3 years ago

Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures

pychu [463]

The attached figure reprsents a prove that a rectangle has congruent diagonals.

Given: rectangle ABCD

Prove: BD ≅ AC

4 0

3 years ago

Find the remainder when f(x) = x3 − 14x2 + 7x − 10 is divided by x − 3. 184 164 −88 −122

Fudgin [204]

Answer:

122

Step-by-step explanation:

For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the divide until it reaches the remainder.

It must be fulfilled that:

Dividend = Quotient * Divisor + Remainder

we have that the remainder is 122.

have a good day

5 0

3 years ago