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3 years ago

8

Hexagon D and hexagon H are regular hexagons. The scale factor from hexagon D to hexagon H is 0.25. One side of hexagon D measur

es 18 cm. What is the length of one side of hexagon H?

2 answers:

Alexus [3.1K]3 years ago

7 0

D/H = 0.25 18/H = 0.25/1 Cross multiply and solve for H

Charra [1.4K]3 years ago

7 0

Answer:

the answer is 4.5 cm

Step-by-step explanation:

You might be interested in

C=0.04x^2-8.504x+25302 how do i do this?

erma4kov [3.2K]

Solving for x.

Since x<span> is on the right-hand side of the </span>equation<span>, switch the sides so it is on the left-hand side of the </span>equation<span>.
</span><span>0.04<span>x2</span>−8.504x+25302=c

</span>Simplify the quadratic and set<span> the right side equal to </span><span>0.
</span><span>0.04<span>x2</span>−8.504x+25302−c=0

</span>Use the standard form of the quadratic <span>(<span><span>a<span>x2</span>+bx+c</span>)</span></span><span> to find </span><span>a,</span><span>b,</span><span> and </span>c<span> for this quadratic.
</span><span>a=0.04,</span><span>b=−8.504,</span><span>c=25302−1c

</span>Use the quadratic formula<span> to find the </span>solutions<span>.
</span><span>x=<span>−b ± </span></span>√<span><span> <span><span>b2</span>−4ac /</span> </span><span>2a

</span></span>Substitute in the values of <span><span>a=0.04</span>,</span><span><span>b=−8.504</span>,</span><span> and </span><span><span>c=25302−1c</span>.
</span>x=<span>−(−8.504) ±</span>√<span><span>(−8.504<span>)2</span>−4(0.04)(25302−1c)/</span><span>2(0.04)
</span></span>
<span>Simplify.
</span>x=<span>8.504 ±</span>√<span><span>(−8.504<span>)2</span>−4(0.04)(25302−1c)/</span><span>2(0.04)
</span></span>
Simplify the section inside the radical<span>.
</span>x=<span>8.504 ± </span>√<span><span><span>−3976.001984+0.16c</span>/</span><span>2(0.04)
</span></span>
Simplify the denominator<span> of the </span>quadratic formula<span>.
</span>x=<span>8.504 ±</span>√<span><span>−3976.001984+0.16c/</span>0.08
</span>

Answer:
x=8.504 ±√−3976.001984+0.16c/0.08

6 0

3 years ago

A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If

Alinara [238K]

Answer:

Test statistic z= 1.708

Step-by-step explanation:

given that a television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If this is to happen, it will have to move one of its most viewed shows to another slot.

Sample size n = 827

Sample proportion p = $\frac{438}{827} \\=0.5297$

$H_0: p =0.5\\H_a: p >0.5$

(right tailed test)

This is because they would be interested if more than half viewers are ready for the change

Test statistic = Z = p difference/std error

p difference = 0.0297

Std error = $\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.5*0.5}{827} } \\=0.0174$

Z =1.708

p valu e= 0.9562

Since p >0.05 we fail to reject H0

Test statistic z= 1.708

8 0

3 years ago

What is the answer to this math question 2 1/12-5 5/6

AleksandrR [38]

<em><u>The solution is:</u></em>

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

<em><u>Solution:</u></em>

We have to solve the given expression

<em><u>Given expression is:</u></em>

$2\frac{1}{12} - 5\frac{5}{6}$

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

<em><u>Thus the given expression becomes,</u></em>

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$

<em><u>Reducing to lowest terms, we get</u></em>

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}$

<em><u>In decimal form, we get</u></em>

$\rightarrow \frac{-15}{4} = -3.75$

<em><u>Thus the solution is:</u></em>

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

6 0

4 years ago

2\0.1 x 10\10 = it would help me a lot

Hoochie [10]

Answer:

The answer is1 thank you

4 0

3 years ago

The back frame of a dog house is in the shape of a triangle with an area of 6 square feet. The height of the frame is 4 feet. Wh

Soloha48 [4]

The area of a triangle is A = bh/2 (base times height divided by 2).
You are given the area (6 square feet) and the height (4 feet) of the triangle. use this formula to calculate the base (b).

8 0

3 years ago