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san4es73 [151]
3 years ago
7

A triangle with an area of 23 cm² is dilated by a factor of 6. What is the area of the dilated triangle? Enter your answer in th

e box. Do not leave your answer as a fraction.
Mathematics
2 answers:
Marizza181 [45]3 years ago
7 0
Given that:
Area of triangle=23 cm²
Dilation factor= 6
It means that the area of the dilated triangle is 6²=36 times of the original.
Now area of dilated triangle, A'=36 x 23 
A'= 828 cm²

Answer: Area of dilated triangle is 828 cm².
mina [271]3 years ago
6 0

Answer:

The answer is 24.

Step-by-step explanation:

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Find K' if the figure is reflected across the x-axis
snow_lady [41]
<h3>Answer:  K ' is at (1, 4)</h3>

Explanation:

Point K is located at (1, -4)

We use the rule that (x,y) \to (x,-y) when reflecting over the x axis.

The x coordinate stays the same, but the y coordinate flips from positive to negative or vice versa.

Therefore, K(1,-4) will move to K ' (1, 4)

5 0
2 years ago
Is (-1,4) a solution of the inequality y&lt;2x+5?
Sveta_85 [38]
Let's plug x= -1, y= 4 in the inequation, we have:
4< 2*(-1)+5
⇒ 4< -2+5
⇒ 4< 3 (false)

Therefore, (-1,4) is not a solution of the inequation y<2x+5~
6 0
3 years ago
A cube has a volume of 1000 cubic feet. What us the edge length of the cube?
Ainat [17]
So volume of a cube=edge legnth cubed so take the cube root of 1000 and get 10
the side legnth is 10 feet
7 0
3 years ago
PLEASE I REALLY NEED HELP!
vagabundo [1.1K]

Answer:

\frac{3}{28}

Step-by-step explanation:

Probability (P) is calculated as

P = \frac{requiredoutcome}{count}

The first required outcome is a red sweet from a total of 3 + 5 = 8

P( red) = \frac{3}{8}

There are now 2 red left and a count of 7, since 1 has been eaten, thus

P( second red ) = \frac{2}{7}

P( red and red ) = \frac{3}{8}  × \frac{2}{7} = \frac{6}{56} = \frac{3}{28}

6 0
3 years ago
the mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.5 %. assume
zhuklara [117]
Given:
Population proportion, \mu _{p} = 57% = 0.57
Population standard deviation, σ  = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%

The standard error is
SE_{p} =  \sqrt{ \frac{p(1-p)}{n} } = \sqrt{ \frac{0.57*0.43}{40} } =0.0783

The confidence interval is 
\hat{p} \pm z^{*}SE_{p}
where
\hat{p} = sample proportion
z* = 1.96 at the 95% confidence lvvel

The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)

Answer: Between 0.417 and 72.4), or between (41% and 72%)

8 0
4 years ago
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