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2 years ago

6

On a map, the distance between two towns is 2. 5 inches, and 1 inch represents 6 miles. What is the actual distance between the

towns?.

1 answer:

Aleks04 [339]2 years ago

8 0

Answer:

15 miles

Step-by-step explanation:

1/2 inch = 3 miles

1 inch = 6 miles

2 inches = 12 miles

2.5 inches = 15 miles

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Complete the table of values for y = 2x^2 + x

tigry1 [53]

Answer: -2, 0 and 0, 2 and 2, 4

Step-by-step explanation:

7 0

3 years ago

NEED ANSWER ASAP!!! WILL GIVE BRAINLIEST TO WHO ANSWERS FIRST!

alexandr1967 [171]

Answer:

x < - 4

Step-by-step explanation:

Given

2x - 2 > 4x + 6 ( subtract 2x from both sides )

- 2 > 2x + 6 ( subtract 6 from both sides )

- 8 > 2x ( divide both sides by 2 )

- 4 > x , thus

x < - 4

8 0

3 years ago

Consider the proof. Given: In △ABC, BD ⊥ AC Prove: the formula for the law of cosines, a2 = b2 + c2 – 2bccos(A) Statement Reason

loris [4]

Solution: The missing reason in Step 8 is substitution of $x=c\cos (A)$ .

Explanation:

The given steps are used to prove the formula for law of cosines.

From step 5 it is noticed that our equation is

$a^2=b^2-2bx+c^2$ ..... (1)

From step 7 it is noticed that the value of $x$ is $c\cos (A)$ .

So by substituting $c\cos (A)$ for $x$ in equation (1) we get the equation of step 8, i.e.,

$a^2=b^2-2bc\cos (A)+c^2$

Hence, the missing reason in Step 8 is substitution of $x=c\cos (A)$ .

5 0

4 years ago

Read 2 more answers

Fill in the blanks to complete the proof

-BARSIC- [3]

The blanks in this two-column proof should be filled as follows:

<u>Statements Reasons</u>_______________

m∠1 = m∠3 Given

m∠CBA = m∠ABE + m∠CBD Angle Addition Postulate

m∠ABE = m∠3 + m∠2 Substitution Property of Equality

m∠CBD = m∠3 + m∠2 Substitution Property of Equality

m∠ABE ≅ m∠CBD Transitive Property of Equality

<h3>What is the Angle Addition Postulate?</h3>

In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.

This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.

Read more on Angle Addition Postulate here: brainly.com/question/24746945

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5 0

1 year ago

A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w

-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A $X_a=28$

Type a size B $X_b=10$

Generally the probability of choosing cushion A P(a) is mathematically given by

$P(a)=\frac{28}{38}$

$P(a)=0.73$

Generally the equation for A to be twice as popular as B is mathematically given by

$P(b)+2P(b)=3P$

Therefore Hypothesis

$Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}$

Generally the equation normal approx of p value is mathematically given by

$z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }$

$z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }$

$z=0.75$

Therefore from distribution table

$Pvalue=1-\theta (0.75)$

$Pvalue=0.227$

Therefore there is no sufficient evidence to disagree with the Null hypothesis $H_0$

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

7 0

3 years ago