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1 year ago

Select the two figures that are similar to the 9 by 6 figure that’s is shown.

Mathematics

2 answers:

harina [27]1 year ago

5 0

Answer:

the answer is green and yellow

Step-by-step explanation:

if youre from ttm here you go

Eduardwww [97]1 year ago

3 0

Answer:

The correct option is 3. The green figure is similar to the 9 by 6 figure.

Step-by-step explanation:

Let a small square represents 1 unit.

From the given figure it is noticed that

1. The dimensions of red figure is 4 by 3.

2.The dimensions of brown figure is 4 by 6.

3.The dimensions of green figure is 2 by 3.

3.The dimensions of purple figure is 3 by 6.

The dimensions of given figure is 9 by 6. The proportion of its dimensions is

$\frac{9}{6}=\frac{3}{2}$

The corresponding sides of two similar figure are proportional. It means the ration of sides must be $\frac{3}{2}$ .

The dimensions of green figure is 2 by 3. It means the proportion of its dimensions is $\frac{3}{2}$ .

Therefore the correct option is 3. The green figure is similar to the 9 by 6 figure.

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In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.

BaLLatris [955]

Answer:

Around 24 degrees

Step-by-step explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

$\frac{sin\alpha }{4} = \frac{sin90}{9.7}$

Multiply 4 and sin90 and then divide the product by 9.7

Use $sin^{-1}$ on calculator to convert the answer into degrees

5 0

2 years ago

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of ref

Sav [38]

The answer is:

1- A line of symmetry will connect a vertex and a midpoint of an opposite side.

2- It has $7$ -fold symmetry.

The explanation for this answer is shown below:

1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.

2- An heptagon has seven vertices, therefore, based on the information mentioned above, it has $7$ -fold symmetry.

8 0

1 year ago

Read 2 more answers

Lyles height is twice the difference of the height of his brother, harry, and the height of his dad, vince. Lyle is 2 1/2 feet t

Greeley [361]

Answer:

$5 = 19 - 4v$

Step-by-step explanation:

We are given the following in the question:

$\text{Lyle's height} = 2( \text{Harry's height - Vince's height})$

Let l be Lyle's height, h be Harry's height and v be Vince's height.

Thus, we can write:

$l = 2(h-v)$

Lyle's Height =

$2\dfrac{1}{2}\text{ feet}$

Harry's height =

$4\dfrac{3}{4}\text{ feet}$

Putting the value in the equation:

$2\dfrac{1}{2} = 2(4\dfrac{3}{4}- v)\\\\\dfrac{5}{2} = \dfrac{19}{2} - 2v\\\\5 = 19 - 4v\\4v = 19-5\\\\v = \dfrac{14}{4}\\\\v = 3\dfrac{2}{4} = 3\dfrac{1}{2}$

Thus, Vince's height is 3.5 feet.

7 0

2 years ago

F(x)=x2−x−1f, left parenthesis, x, right parenthesis, equals, x, squared, minus, x, minus, 1 What is the average rate of change

Alexandra [31]

Answer: The average rate of change = -1

Step-by-step explanation: Please find the attached file for the solution

5 0

2 years ago

A web-based company has a goal of processing 90 percent of its orders on the same day they are received. If 434 out of the next

Kamila [148]

Answer:

We conclude that a web-based company are not exceeding their goal of 90%.

Step-by-step explanation:

We are given that a web-based company has a goal of processing 90 percent of its orders on the same day they are received.

434 out of the next 471 orders are processed on the same day.

Let p = proportion of orders processing on the same day they are received.

SO, Null Hypothesis, $H_0$ : p $\leq$ 0.90 {means that they are not exceeding their goal of 90%}

Alternate Hypothesis, $H_0$ : p > 0.90 {means that they are exceeding their goal of 90%}

The test statistics that would be used here One-sample z test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of orders that are processed on the same day = $\frac{434}{471}$ = 0.92

n = sample of orders = 471

So, the test statistics = $\frac{0.92-0.90}{\sqrt{\frac{0.92(1-0.92)}{471} } }$

= 1.599

The value of z test statistics is 1.599.

Now, at 0.025 significance level the z table gives critical value of 1.96 for right-tailed test.

Since our test statistic is less than the critical value of z as 1.599 < 1.96, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that a web-based company are not exceeding their goal of 90%.

8 0

1 year ago