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3 years ago

Find area of triangle

Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

Answer:

49.1 cm² (round to nearest 10)

Step-by-step explanation:

- use trigonometry to find the height(h) of the triangle

- substitute height and base(b) 12cm into the formula

A = ½ × b × h .

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3(2+7) - 9 x 7 = 3+8 x 2 x 2 - 4 = 16 ÷ 2 x 5 x 3 ÷ 6 = Please answer! ✨✨

Thepotemich [5.8K]

Answer:

At first, we have 3 expressions that are equal.

$3(2+7) - 9 \cdot 7= 3+8 \cdot 2 \cdot 2 - 4$

$6+21 - 63= 3+32 - 4$

$-36=31$

$-36\neq 31$

This is not true.

3 0

3 years ago

Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

3 years ago

Given the circle below secant kjI and tangent hi find the length of hi round to the nearest tenth if necessary.

garik1379 [7]

The length of the segment HI in the figure is 32.9

<h3>How to determine the length HI?</h3>

To do this, we make use of the following secant-tangent equation:

HI² = KI * JI

From the figure, we have:

KI = 21 + 24 = 45

JI = 24

So, we have:

HI² = 45 * 24

Evaluate the product

HI² = 1080

Take the square root of both sides

HI = 32.9

Hence, the length of the segment HI is 32.9

Read more about secant and tangent lines at:

brainly.com/question/14962681

#SPJ1

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2 years ago

What is 8 23/100 as a decimal

KengaRu [80]

So since there is a mixed number, 8 means there are 8 one-hundreds and 23 remaining ones. So, 800+23=823 ones. 823/100 as an improper fraction. since it is already out of 100, your job is easy. you now divide 823 by 100 (move the decimal over to the left 2 places) and you get 8.23 as a decimal. Hope i helped!!

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3 years ago

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A small plant is 212 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week? Which method will NOT give the c

Neporo4naja [7]

34*3=102 hope this helps so 102 is the answer please give me brainliest

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Find area of triangle ​

Find area of triangle