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1 year ago

Is Figure B a scale copy of Figure A?

Mathematics

2 answers:

Lana71 [14]1 year ago

7 0

Yes
Reason - figure b has been increased by 3 (x3 for each side)
Eg. figure b - 1. Figure a - 3

andrew11 [14]1 year ago

3 0

Yes Figure B is a scale copy of Figure A

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Simplify h= 105sin (0.0698(90+1)) + 105

IrinaK [193]

Answer:

$h= 116.616$

Step-by-step explanation:

we have

$h= 105sin (0.0698(90+1)) + 105$

step 1

Solve (90+1)

$h= 105sin (0.0698(91)) + 105$

step 2

Solve 0.0698(91)

$h= 105sin (6.3518) + 105$

step 3

Solve sin (6.3518)

$h= 105(0.11063) + 105$

step 4

Solve 105(0.11063)

$h= 11.616 + 105$

step 5

Solve 11.616 + 105

$h= 116.616$

5 0

3 years ago

Oliver and Peter had the same length of string. Oliver used 3/4 of his string to tie a bundle of newspaper. Peter used 6/8 of hi

solmaris [256]

Answer:

Yes they did.

Step-by-step explanation:

So you have the fraction 3/4 and 6/8. If you divide the fraction 6/8 by 2 you will get 3/4 since 6/8 is an unsimplifed form of 3/4.

7 0

3 years ago

If a call started at 7:53 and ends at 8:25. How long did the call last?

SOVA2 [1]

Answer:

33 minutes

Step-by-step explanation:

33min

7 0

2 years ago

The surface area of the square pyramid shown is 84 square inches. What is the value of $x$ ? Square pyramid with base edge of 6

AysviL [449]

Answer:

4 inches

Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

Substituting values into the equation :

A = 84 in² ; a = 6 in ; Slant height, s = x

84 = 6² + 2(6 * x)

84 = 36 + 2(6x)

84 = 36 + 12x

84 - 36 = 12x

48 = 12x

48/12 = 12x / 12

4 = x

Hence, Slant height, x = 4 inches

7 0

3 years ago

Read 2 more answers

A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces. The standard deviation

S_A_V [24]

Answer:

The correct option is 16.041 ounces.

Step-by-step explanation:

A single mean test can be used to determine whether the average amount of shampoo per bottle is 16 ounces.

The hypothesis can be defined as:

H₀: The average amount of shampoo per bottle is 16 ounces, i.e. μ = 16.

Hₐ: The average amount of shampoo per bottle is different from 16 ounces, i.e. μ ≠ 16.

The information provided is:

$n=64\\\sigma=0.20\\\alpha =0.10$

We can compute a 90% confidence interval to determine whether the population mean is 16 ounces or not.

Since the population standard deviation is known we will compute the z-interval.

The critical value of z for 90% confidence interval is:

$z_{0.05}=1.645$

*Use a z-table.

Compute the 90% confidence interval for population mean as follows:

$CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}\\$

Since the sample size is quite large, according to the law of large numbers the on increasing the sample size, the mean of the sample approaches the whole population mean.

So, the 90% confidence interval estimate for sample mean is:

$CI=\mu\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}\\=16\pm 1.645\times \frac{0.20}{\sqrt{64}}\\=16\pm0.041125\\=(15.958875, 16.041125)\\\approx (15.959, 16.041)$

Thus, the correct option is 16.041 ounces.

3 0

2 years ago