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3 years ago

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Juan runs in place for 2 - minutes on Monday. He runs in place for 1 times as long on Tuesday. How many minutes does Juan run in

place on Tuesday?

1 answer:

julsineya [31]3 years ago

8 0

Answer:

3 min

Step-by-step explanation:

because on monday 2

and on tuesday is 1 so

1 plus 2

equals 3

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horrorfan [7]

Answer:

6 square root of 2

Step-by-step explanation:

sin theta = opposite / hypotenuse

sin 45 = 6/x

Multiply by x

x sin 45 = 6

Divide by sin 45

x sin 45/ sin 45 = 6 / sin 45

x = 6/ sin 45

x = 6/ (1/sqrt(2))

x = 6 sqrt(2)

3 0

3 years ago

Read 2 more answers

what is the sum of the first 25 terms of an arithematic sequence if the sum of its 8th and 18th terms is 72?

max2010maxim [7]

Answer:

900

Step-by-step explanation:

7 0

3 years ago

Stuart pays back two student loans over a 4-yr period. One loan charges the equivalent of 3% simple interest and the other charg

Ugo [173]

Answer:

The first loan L1 = $20,000

This is the loan with 3% simple interest

The second loan L2 = $4,000

This is the loan with 5.5% simple interest

Step-by-step explanation:

L1 + L2 = $24,000 ...(1)

4(3% of L1) + 4(5.5% of L2) = $3,280 ...(2)

Where the first term in equation (2) represents the total interest paid on loan 1 after 4 years

The second term represents total interest accruing to loan 2 after 4 years

From equation (1), we single out L1

L1 = 24,000 - L2

Substitute this value for L1 in equation (2)

288,000 + 10L2 = 328,000

L2 = $4,000

L1 = $24,000 - $4,000 = $20,000

5 0

3 years ago

Read 2 more answers

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle .

Pani-rosa [81]

The segment length is 14 (square root)2

Given that Triangle ABC is right angle triangle

The vertex marked is B where side AC is the hypotenuse

The side of AC is at Vertex B is 14

The dash segment from vertex B to point D on side AC

Angle BDA is marked right angle .

Angles A and C both marked 45 degrees.

As shown in diagram

Triangle ABC is drawn according to the statement where B is vertex

The side lengths are 14

Now to find Another side length that is x

So , the equation formed is

x*cos45 = 14

x/√2 = 14

x = 14√2

Hence the length of the segment is 14√2

Learn more about Right angle triangle here brainly.com/question/64787

#SPJ1O

5 0

1 year ago

State the null and alternative hypotheses for the statistical test described below. Your answer should be an expression composed

Artyom0805 [142]

Answer:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p>0.3$

Step-by-step explanation:

For this question we need to take in count that the the claim that they want to test is "if the proportion is greater than 0.3". Our parameter of interest for this case is $p$ and the estimator for this parameter is given by this statistic $\hat p$ obtained from the info of sa sample obtained.

The sample proportion would be given by:

$\hat p = \frac{X}{n}$

Where X represent the success and n the sample size selected

The alternative hypothesis on this case would be specified by the claim and the complement would be the null hypothesis. Based on this the system of hypothesis for this case are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p>0.3$

And in order to check the hypothesis we can use the one sample z test for a proportion with the following statistic:

$z = \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}$

5 0

3 years ago