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kicyunya [14]
4 years ago
9

Length of the hypotenuse of the triangle to the nearest tenth of a metre

Mathematics
2 answers:
Lemur [1.5K]4 years ago
5 0

Answer:

The length of the hypotenuse is 2.4m

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 55°

o: opposite  = 2.0m

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

we look at which meets those data between the sine, cosine and tangent

is the sine

sin α = o/ah

Now we replace the values ​​and solve

sin 55 = 2.0/h

0.81915 = 2.0/h

h = 2.0 / 0.81915

h = 2.4415 m

round to the nearest tenth

h = 2.4415 = 2.4 m

The length of the hypotenuse is 2.4m

Whitepunk [10]4 years ago
5 0

Answer:2.4

Step-by-step explanation:

sin55=2 ➗ h

0.8192=2 ➗ h

Cross multiplying we get

0.8192 x h=2

Divide both sides by 0.8192

(0.8192xh)/0.8192=2/0.8192

h=2.4

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The sum of an equation is 45/100 <br><br> One addend is 4/10<br> What is the missing addend?
Ilia_Sergeevich [38]

Answer:

The missing addend is 1/20

Step-by-step explanation:

Variable x: missing addend

4/10 + x = 45/100

When adding or subtracting fractions, the denominators must be the same number.

To convert 10 to 100, we must multiply 10 by 10.

If we multiply 10 to the denominator, we must do the same to the numerator (multiply by 10).

4 × 10 / 10 × 10

40/100

Use this fraction in the equation now

40/100 + x = 45/100

Now isolate the variable, x, by subtracting 40/100 from both sides

40/100 - 40/100 + x = 45/100 - 40/100

When subtracting fractions, only subtract the numerators. The denominators remain the same

x = 5/100

Simplify 5/100

Both numbers can be divided by 5

5 ÷ 5 / 100 ÷ 5

1/20

7 0
3 years ago
What is the greatest common factor of 8 and 13
Svetlanka [38]

Answer:

GCF=1

Step-by-step explanation:

Lets factor both numbers:

the factors of 8:

1,2,4,8

the factors of 13:

1,13

The largest number in common is 1

8 0
3 years ago
Find the radius of the sphere with a volume of 32/81π cubic yards. Write your answer as a fraction in simplest form.
Vilka [71]

Answer:

2/3 yards or 2 feet

Step-by-step explanation:

The formula for the volume of a sphere is \frac{4}{3}\pi r^3, meaning that you can set up the following equation:

\dfrac{32\pi}{81}=\dfrac{4}{3}\pi r^3

Divide both sides by \frac{4}{3}\pi:

\dfrac{8}{27}=r^3

Take the cube root of both sides:

r=\dfrac{2}{3} yards. Hope this helps!

3 0
3 years ago
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In a school with 400 students 22% of them are 6th grade how many students are in 6th grade​
Serjik [45]

Answer:

88

Step-by-step explanation:

400*0.22 gives the answer

5 0
4 years ago
Find the value of x.
hichkok12 [17]
<h3>Angles sum up to:</h3><h3>( n - 2 ) × 180 = ( 5 - 2 ) × 180 = 3 × 180 = 540</h3>

x + 4x + 4x + 135 + 135 = 540

9x + 270 = 540

9x = 540 - 270 \\ 9x = 270

x =  \frac{270}{9}  = 30

8 0
2 years ago
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