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Inessa05 [86]
3 years ago
10

Using the triangle below, find the ratio please need help answering for a quiz

Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0
<h3>sin22° = 5/4</h3><h3>tan22° = 3/√55</h3>

As we know that , sinA = opposite/hypotenuse & tanA = opposite/adjacent

So here we can find sin22° , because they already given the sides opposite & hypotenuse . And we can't find tann22° because they given the value of opposite but not given the value of adjacent side of the angle 22°

Now finding the adjacent side using

Pythagoras theorem :-

• Hypotenuse² = Base² + Height²

=> 40² = Base² + 15²

=> 1600 - 225 = Base²

=> Base² = 1375

=> Base = √1375

=> Base = 5√55

Now ,

  • tan22° = Opposite/Adjacent = 15/5√55 = 3/√55
  • sin22° = Opposite/hypotenuse = 15/40 = 5/4

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it takes one fourth of a gallon of paint covers one fifth of a car how much paint covers the whole car​
Komok [63]

Answer:

The volume of paint that covers the whole car is 1\frac{1}{4} gallons or one and a quarter gallons.

Step-by-step explanation:

Let the volume of paint required to cover whole car be 'x'.

Given:

Volume of paint to cover one-fifth of a car = one-fourth of a gallon.

We use unitary method to determine the volume of paint required.

∵ One-fifth of a car requires paint = \frac{1}{4}\ gal

∴ Whole volume of car requires paint = \frac{\frac{1}{4}}{\frac{1}{5}}

=\frac{1}{4}\times \frac{5}{1}\\=\frac{5}{4}\\=1\frac{1}{4}\ gal

Therefore, the volume of paint that covers the whole car is 1\frac{1}{4} gallons or one and a quarter gallons.

5 0
3 years ago
Brenda sells necklaces at the 23rd Street Flea market. It costs her $10.00 in materials to make the necklaces. She decides to ma
Nuetrik [128]

Answer:

$ 14.00

Step-by-step explanation:

10 · 1.75 = 17.50

17.50 · .20 = 3.5

17.50 - 3.50 = 14.00

good luck, i hope this helps :)

5 0
3 years ago
Picture `: what is the value of x?
Sphinxa [80]

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
3 0
2 years ago
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF a
kenny6666 [7]

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape, all their corresponding angles as well as sides must also be congruent to each other.

Two triangles are congruent using the side - angle - side congruency if two sides and an included angle of one triangle is congruent to that of another triangle.

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS

Find out more on congruent triangle at: brainly.com/question/1675117

#SPJ1

8 0
2 years ago
Which expression is equivalent to 454•41/4 /1/2 4. 1/2
givi [52]

Answer:

2

Step-by-step explanation:

if you work inside parentheses first you get:

4^3/2 ÷ 4^1/2 which is 4

4^1/2 = \sqrt{4} which is 2

8 0
3 years ago
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