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MrMuchimi
3 years ago
14

Can someone help me with this question, please?

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

Answer:

1260 cm^2

Step-by-step explanation:

To find the area of the rectangle we need its base and its height and calculate the product A = (base)(height).

Here the height of the triangle is found using the Pythagorean Theorem:

37^2 = |AB|^2 + 12^2, or |AB|^2 = 1369 - 144, or 1225.

Taking the square root of both sides, we get |AB| = √1225  =  35 cm = height of rectangle.

Since BC:CD = 1:2, and since |BC| = 12 cm, |BD| is 12 cm + 24 cm = 36 cm.

Thus the length of the rectangle is 36 cm.

The area of the rectangle ABDE is (36 cm)(35 cm) = 1260 cm^2

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Sonia has three bracelets. she wears them all at the same time but in a diffrient order each day how many diffrent bracelet comb
LenaWriter [7]
There are 3 bracelets.
The first bracelet can occupy a position in 3 ways.
The second bracelet can occupy the remaining 2 positions in 2 ways.
The third bracelet can occupy the remaining position in 1 way.
The total number combinations is
3*2*1 = 6

Answer: 6
3 0
3 years ago
Gretchen can buy 17.4 ounces of Brand A toothpaste for $5.22, or she can buy 26.6 ounces of Brand B toothpaste for $6.65. Which
konstantin123 [22]
Price of Brand A toothpaste for 17.4 ounces = <span>$5.22
</span>Price of Brand A toothpaste for 1 ounce = $5.22/17.4 = 0.3
Price of Brand B toothpaste for 26.6 ounces = $6.65
Price of Brand B toothpaste for 1 ounces = $6.65/26.6 = 0.25
So, if we see the price for per ounce of brand A and B, price of Brand B per ounce is less than brand A.
and if we find the difference between the prices of both = 0.3 - 0.25 = 0.05

Thus, the correct answer is "D", <span>Brand B is the better deal, because it costs $0.05 less per ounce than Brand A".</span>
3 0
3 years ago
Read 2 more answers
Suppose that the quality control manager for a cereal manufacturer wants to ensure that bags of cereal are being filled correctl
likoan [24]

Answer: No, these results are not statistically significant because

p > 0.05

Step-by-step explanation:

The null hypothesis is

H0 : μ = 17

The alternative hypothesis is

H 1 : μ ≠ 17

where μ is the mean amount of cereal in each box.

The p value that he got is 0.1499. This is greater than alpha = 0.05 which is the given level of significance.

If the level of significance is lesser than the p value, we would accept the null hypothesis.

Therefore, the correct option is

No, these results are not statistically significant because p>0.05

6 0
3 years ago
Find the slope of the line that passes through the points (−2/3, 3/4) and (5/6, −1/2).
EastWind [94]

Answer:

-\frac{5}{6}

Step-by-step explanation:

Use the slope formula :\frac{y2-y1}{x2-x1}

-1/2 is y2, 3/4 is y1, 5/6 is x2, and -2/3 is x1.

\frac{-1/2-3/4}{5/6-(-2/3)}

\frac{-5/4}{5/6+2/3}

\frac{-5/4}{9/6}

\frac{-5}{4} ÷ \frac{9}{6}

-\frac{5}{4} • \frac{6}{9}

-\frac{5}{2} • \frac{3}{9}

-\frac{15}{18}  

-\frac{5}{6}

Hope this helps! Let me know if I got it wrong.

5 0
3 years ago
Find the 137th odd number.
KIM [24]

The first odd number is 1. The next is 2 more than the previous one.

It's an arithmetic sequence.

The general term of an arithmetic sequence:

a_n=a_1+(n-1)d

a_n - n-th term

a_1 - first term

d - common difference.

We have

a_1=1,\ d=2,\ n=137

Substitute:

a_{137}=1+(137-1)(2)=1+(136)(2)=1+272=273

<h3>Answer: 137th odd number is equal 273.</h3>
3 0
3 years ago
Read 2 more answers
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