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Alja [10]
3 years ago
15

What is the value of H

Mathematics
1 answer:
never [62]3 years ago
6 0

Answer:

h = 55

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

the 2 unknown interior angles = 180 - 2h ( straight angle ), hence

the sum of the 3 angles

180- 2h + 180 - 2h + 40 = 180

400 - 4h = 180 ( subtract 400 from both sides )

- 4h = - 220 ( divide both sides by - 4 )

h = 55


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Find the slope between the following coordinates. (6,4)&(6,-2)​
Grace [21]

Answer:

slope is undefined

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (6, 4 ) and (x₂, y₂ ) = (6, - 2 )

m = \frac{-2-4}{6-6} = \frac{-6}{0}

division by zero is undefined, therefore the slope of the vertical line is undefined.

4 0
2 years ago
PQRST is a rectangular-based pyramid with a height of 9cm.
Diano4ka-milaya [45]

Answer:

54.1° (1 dp)

Step-by-step explanation:

Let the center point of the rectangle PQRS = M

Calculate the length of the line SM using Pythagoras' Theorem:

          a² + b² = c²

(11/2)² + (7/2)² = SM²

              42.5 = SM²

                SM = √42.5 cm

The height of the pyramid is 9 cm,  therefore, MT = 9

Now we have a right angled triangle with base SM and height MT and hypotenuse ST

We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM

tan TSM = MT/SM = 9/√42.5

TSM = arctan (9/√42.5) = 54.082088°

So the angle between the line ST and the plane PQRS = 54.1° (1 dp)

3 0
2 years ago
PLEASE HELP ME WILL MARK BRAINLIEST !!! :)
Roman55 [17]

Answer:

lateral area = side area = (10 x 6 x 2) + (14 x 10 x 2) = 400 in²

total surface area = lateral area + top & bottom area = 400 + (14 x 6 x 2) = 568 in²

8 0
3 years ago
The price of sugar increased by 20%. What percent of sugar would the family have to stop using so that they pay the same amount
scoundrel [369]

Answer:

9.16

Step-by-step explanation:

We know that

Total expense = price of sugar * consumption

let price of sugar was 100

So total expense = 100*10=1000

But now new expense =1100 (I,e.10% more than 1000)

and new price =120(i,e. 20% more than 100)

So new consumption = new expense/ new price=

1100/120

=110/12

=9.16

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

6 0
4 years ago
Read 2 more answers
Does the graph below represent a function?
kkurt [141]

Answer:

I don't see a graph but the picture is A i believe

Step-by-step explanation:

Hope that helped you :)

5 0
4 years ago
Read 2 more answers
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