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Blizzard [7]
4 years ago
11

A high school football pennant is in the shape of an isosceles triangle. The base is 18 inches long. The sides meet at an angle

of 40°. To the nearest tenth, what is the length of each side?
Mathematics
1 answer:
Oksanka [162]4 years ago
3 0

Answer:

The length of each side is 26.3 cm

Step-by-step explanation:

Opposite sides of an isoceles triangle are equal

The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio

When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio

Let the length of the hypotenuse side be y

9/y = sin 20°

y = 9/0.3420 = 26.3

Length of each side is 26.3 cm

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1.3.19
RSB [31]

Answer: $542

Step-by-step explanation:

Given the following :

Selling price of refrigerator = $677.50

Markup = 25% of dealers' cost

Dealers' cost of refrigerator =?

Selling price = Dealers' cost + markup

Markup = 25% of dealers' cost

Let dealers' cost = d

Hence,

Selling price = d + 25% of d

Selling price = d + 0.25d

Selling price of refrigerator = $677.50

Then,

$677.50 = d + 0.25d

$677.50 = 1.25d

d = $677.50 / 1.25

d = $542

8 0
3 years ago
Raise to the power<br> (–3y)^4<br> (2ax)^3<br> (10xy)^2<br> (–2abx)^4<br> (–am)^3<br> (–xn)^4
krok68 [10]

Use\ (ab)^n=a^nb^n\\\\(-3y)^4=(-3)^4y^4=81y^4\\\\(2ax)^3=2^3a^3x^3=8a^3x^3\\\\(10xy)^2=10^2x^2y^2=100x^2y^2\\\\(-2abx)^4=(-2)^4a^4b^4x^4=16a^4b^4x^4\\\\(-am)^3=(-1am)^3=(-1)^3a^3m^3=-1a^3m^3=-a^3m^3\\\\(-xn)^4=(-1xn)^4=(-1)^4x^4n^4=1x^4n^4=x^4n^4

4 0
3 years ago
What is 29 miles converted to yards?
skad [1K]
<span> 51,040yds

Hope I helped. </span>
5 0
3 years ago
Read 2 more answers
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 36 m
Degger [83]

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given mean of 36 minutes and a standard deviation of 3 minutes.

For x = 32:

z = (32 - 36)/3 = -1.33

For x = 37:

z = (37 - 36)/3 = 0.33

P(-1.33 < z < 0.33) = P(z < 0.33) - P(z < -1.33) = 0.6179 - 0.0198 = 0.5981

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
If 5x-3y=12 and 4x-5y=17 what is the value of y?
il63 [147K]

Answer:

8y

Step-by-step explanation:


3 0
3 years ago
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