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Softa [21]
3 years ago
11

The lengths of the sides of a triangle are in ratio 5 : 7 : 9. The middle-in-length side is 35 cm. Find the perimeter of the tri

angle.
I need the answer quickly!
Mathematics
1 answer:
ipn [44]3 years ago
3 0

Answer:

The perimeter of the triangle is 105 cm.

Step-by-step explanation:

The ratio of sides of a triangle is 5:7:9.

The length of middle side is 35 cm.

Let first side of the tringle is x, length of third side is y. middle side is of 35 cm.

So, the ratio of length of sides can be written as,

x:35:y=5:7:9

Compare the ratio to get the value of x and y.

x:35:y=25:35:45\\x=25\\y=45

Now, the sides of the triangle are 25 cm, 35 cm and 45 cm.

Thus, the perimeter of the triangle will be the sum of all sides and can be calculated as,

p=25+35+45\\p=105

Therefore, the perimeter of the triangle is 105 cm.

For more details, refer the link:

brainly.com/question/20955459?referrer=searchResults

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Find the length of CA to the nearest tenth of a foot
hoa [83]

Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = \frac{opposite}{adjacent} = \frac{BC}{CA} = \frac{2.6}{CA} ( multiply both sides by CA )

CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \frac{2.6}{tan40} ≈ 3.1 ft ( to the nearest tenth )

3 0
2 years ago
A publisher claims that the average salary paid at its company is $37,500, but it could differ by as much as $4,500. Write an ab
Arlecino [84]

Answer:

|x − 37,500| ≤ 4,500

Step-by-step explanation:

salary - 37,500 can be up  +4500 or as negative -4500

as much as means less than or equal to

We use absolute values to indicate this

|x − 37,500| ≤ 4,500

8 0
3 years ago
Read 2 more answers
What is 4/5 x 3 1/8 in simplest form
Lesechka [4]

3 1/8 means 8 x 3 + 1 = 25/8

Step-by-step explanation:

4/5 x 25/8

= 4x25/5x 8

= 100/40

= 5/2

6 0
2 years ago
Adult entrance fees to amusement parks in the United States are normally distributed with a population standard deviation of 2.5
kondor19780726 [428]

Answer:  1.509

Step-by-step explanation:

The formula of Margin of Error for (n<30):-

E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 22

Level of confidence = 0.99

Significance level : \alpha=1-0.99=0.01

Using the t-distribution table ,

Critical value : t_{n-1, \alpha/2}=t_{21,0.005}= 2.831

Standard deviation: \sigma=\text{ 2.5 dollars }

Then, we have

E=( 2.831)\dfrac{2.5}{\sqrt{22}}\approx1.509

Hence, the margin of error for a 99% confidence interval for the population mean =1.509

4 0
3 years ago
Calculate the side lengths a and b to two decimal places. Will give five stars and brainliest to the first answer!!!!! Need help
garri49 [273]

Answer:

Using the Sine Rule , which states that

\frac{a}{Sin A}=\frac{b}{Sin B}=\frac{c}{SinC}

In Δ ABC

∠A +∠B+∠C=180°→→Angle Sum Property of Triangle

72°+85°+∠C=180°

∠C=180° - 157°

∠C= 23°

All the angles are in degrees.

\frac{a}{Sin 72}=\frac{b}{Sin 85}=\frac{6.2}{Sin 23}

Using the table of Sine, Calculating Sine Values

Sin 72°= 0.9510

Sin 85°=0.996

Sin 23°=0.390

\frac{a}{0.951}=\frac{b}{0.996}=\frac{6.2}{0.390}\\\\ a=\frac{6.2 * 0.951}{0.390}= 15.118\\\\ b=\frac{6.2 * 0.996}{0.390}=15.833

Among the five Options,

Option E: a= 15.09 and b=15.81  is approximately true.

7 0
3 years ago
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