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damaskus [11]
3 years ago
10

21. If the area of the plane shape below is36cm, find its height.​

Mathematics
2 answers:
mariarad [96]3 years ago
4 0

Answer:

4 cm

Step-by-step explanation:

The figure is a parallelogram with area (A) calculated as

A = bh ( b is the base and h the perpendicular height )

Here A = 36 and b = 9 , thus

9h = 36 ( divide both sides by 9 )

h = 4 cm

musickatia [10]3 years ago
3 0

Answer:

Step-by-step explanation:

considering the breadth of the shape as 5cm and length as 9cm...

now... for finding the height of the plane shape...

we need to use the formula for area of a trapezium...

so. area of a trapezium = 1/2 x height x sum of parallel sides

we are given area of trapezium = 36cm^2

SO SUBSTITUTING THE EQUATION...

36 = 1/2 x height x (9+9)

height = 4cm

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-10(10x-12)=-9(-9x-2)-5
Viefleur [7K]

10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181

7 0
3 years ago
Read 2 more answers
Cos 0 = 12/13. Find sin 0.<br> A. 5/12<br> B. 12/5<br> C. 13/12<br> D. 5/13
andreyandreev [35.5K]

Answer:

Sine θ = 5/13

Step-by-step explanation:

From the question given above, the following data were obtained:

Cos θ = 12/13

Sine θ =?

Next, we shall determine the opposite. This can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/13

Adjacent = 12

Hypothenus = 13

Opposite =?

Hypothenus² = Opposite² + Adjacent²

13² = Opposite² + 12²

169 = Opposite² + 144

Collect like terms

169 – 144 = Opposite²

25 = Opposite²

Take the square root of both side

Opposite = √25

Opposite = 5

Finally, we shall determine the Sine θ. This can be obtained as follow:

Opposite = 5

Hypothenus = 13

Sine θ =.?

Sine θ = Opposite / Hypothenus

Sine θ = 5/13

8 0
2 years ago
A full moon occurs about every 30 days . If the last full moon occurred on a Friday, how many days will pass before a full moon
pentagon [3]
The answer is 30 days until it appears on a Friday again. In order to see the full moon again, we have to go through the entire cycle. So, it will be about 30 days before we would have seen another one. 
7 0
3 years ago
Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas
lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

n(S) = n(s) + n(S \cap F)

In which n(s) are those who are succeful but not freshmen and n(S \cap F) are those who are succesful and freshmen.

By the same logic, we also have that:

n(F) = n(f) + n(S \cap F)

The union is:

n(S \cup F) = n(s) + n(f) + n(S \cap F)

In which

n(S \cup F) = 58

n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)

n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)

So

n(S \cup F) = n(s) + n(f) + n(S \cap F)

58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)

n(S \cap F) = 24

So the correct answer is:

b) 24

3 0
3 years ago
A data set contains three points, and two of the residuals are 7 and -3. What 7
Delvig [45]

The data set in discuss which contains three points and two of the residuals are 7 and -3 would have its third residual as; -4.

<h3>What is the third residual if the data set characterized as having 2 of its three residuals to be; 7 and -3?</h3>

According.tinthe task content, the data set in discuss has three points and consequently should have three residuals.

Additionally, two of the three residuals have been given and on this note, it follows that the third residual must have a value such that the algebraic sum of all residuals is 0.

Hence, we have; -3 + 7 +x = 0;

x = 3-7 = 4.

Ultimately, the third residual is; -4.

Read more on residuals in a data set;

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4 0
2 years ago
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