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2 years ago

Which statements are true? Check all that apply.

Mathematics

2 answers:

Sergio [31]2 years ago

5 0

Answer:

1 The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction

3 The area of the sector is 250 units².

5 The area of the sector is more than half of the circle’s area

igor_vitrenko [27]2 years ago

3 0

Answer:

yes -----The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction.

no------The ratio of the measure of the central angle to the measure of the entire circle is Five-halves.

yes------The area of the sector is 250 units².

no--------The area of the sector is 100 units².

yes-------The area of the sector is more than half of the circle’s area.

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The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 sq

lara [203]

Answer:

Part 1) The constant of variation is $k=1/9$

part 2) The equation is $y=\frac{1}{9}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the number of square feet

y -----> the number of square yards

Three square yards are equivalent to 27 square feet

we have the point (27,3)

Part 1) What is the constant of variation?

The constant of variation or proportionality is equal to

$k=y/x$

substitute the values

$k=3/27$

Simplify

$k=1/9$

Part 2) What is the equation representing the direct variation?

we know that

$y=kx$

substitute the value of k

$y=\frac{1}{9}x$

3 0

2 years ago

Read 2 more answers

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

kifflom [539]

This is a very long question. I'm not going to write all of it out but I will give you a starting point. Find your x by making y in the formula equal to 0.

2x + 3y = 1470

2x + 3(0) = 1470

2x = 1470

x = 735

Your furthest point on the x axis is (735,0).

Do the same for y.

2x + 3y = 1470.

2(0) + 3y = 1470

3y= 1470

y= 490

Your highest point is (0,490).

Now that both are plotted, draw a straight line connecting the two points. There's your graph.

Check

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2 years ago

Dimensional Analysis Method (also called conversion factor or unit analysis) (Appendix D: Dimensional Analysis, Page 397) o The

garik1379 [7]

Answer:

The dimensional analysis method uses equivalences written in fractional form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is 1. Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in the numerator and the denominator of the fraction

Step-by-step explanation:

Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication

Therefore, a fraction of two equivalent measurements but different units has a value of 1, and multiplying the equivalent fraction with another measurement with the same unit as the denominator of the fraction with a value of 1 changes the unit to that of the unit of the numerator

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2 years ago

In △ABC, m∠ABC=40°,

Alchen [17]

Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.

The sum of angles of ∆ABC is 180°, so we have

... 180° = 40° + m∠A + m∠C

Using the above expressions for m∠A and m∠C, we can write ...

... 180° = 40° + (90° -x) + (90° -3x)

... 4x = 40° . . . . . . . . . add 4x-180°

... x = 10°

From which we conclude ...

... m∠C = 90°-3x = 90° - 3·10° = 60°

The ratio of CN to CL is

... CN/CL = cos(∠C) = cos(60°)

... CN/CL = 1/2

so ...

... CN = (1/2)CL

5 0

2 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is

stealth61 [152]

Answer:

We accetp H₀

Step-by-step explanation:

Information:

Normal distribution

Population mean = μ₀ = 449

Population standard deviation σ unknown

Sample size n = 23 n < 30 we use t-student test

so n = 23 degree of fredom df = n - 1 df = 23- 1 df = 22

Sample mean μ = 448

Sample standard deviation s = 20

Significance level α = 0,05

1.-Hypothesis Test

Null hypothesis H₀ μ₀ = 449

Alternative hypothesis Hₐ μ₀ ≠ 449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to get an statistic parameter wich implies that μ is bigger or smaller than μ₀

2.-Significance level α = 0,05 ; as we have a two tail test

α/2 = 0,025

Then from t - student table for df = 22 and 0,025 (two tail-test)

t(c) = ± 2.074

3.- Compute t(s)

t(s) = ( μ - μ₀ ) / s /√n

plugging in values

t(s) = (448 - 449) / 20 /√23 ⇒ t(s) = - 1*√23 /20

t(s) = - 0.2398

4.-Compare t(c) and t(s)

t(s) < t(c) - 0.2398 < - 2.074

Therefore t(s) in inside acceptance region. We accept H₀

7 0

2 years ago