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WITCHER [35]
3 years ago
11

Please help me with this

Mathematics
1 answer:
Tanya [424]3 years ago
8 0

9514 1404 393

Answer:

  51.63 m²

Step-by-step explanation:

The relevant area formulas are ...

  A = πr² . . . . . area of a full circle of radius r

  A = LW . . . .  area of a rectangle of length L and width W

  A = 1/2bh . . . area of a triangle with base b and height h

__

The figure area is the sum of the areas of 1/2 a circle of radius 3 m, a rectangle with base 6 m and height 5 m, and a triangle with base 3 m and height 5 m. Using the above formulas, we find the area to be ...

  A = (1/2)(3.14)(3 m)² +(6 m)(5 m) + 1/2(3 m)(5 m)

  A = (14.13 +30 +7.5) m² = 51.63 m²

The area of the figure is about 51.63 m².

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Match the following reasons with the statement givem
ANEK [815]

Answer:

AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent

In triangle RAS and triangle QAT

\angle R =\angle Q   [Angle]

AS =AT    [Side]                                       [Given]

By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.

⇒ \angle 5= \angle 6      [By base ∠'s of isosceles triangle are equal]

By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.

\angle 4, \angle 5 are supplementary and \angle 6, \angle 7 are supplementary.

⇒\angle 4+ \angle 5 =180^{\circ} and

\angle 6+ \angle 7 =180^{\circ}  

Two \angle 's supplementary to equal \angle 's

\angle 4+ \angle 5 =\angle 6+ \angle 7

Since,  \angle 5 =\angle 6  

then, we get;

\angle 4 =\angle 7  [Angle]

then, by AAS postulates,

\triangle RAS \cong \triangle QAT

By CPCT[Corresponding Part of Congruent Triangles are equal]

RS = QT              Hence Proved!

7 0
3 years ago
Can someone please explain how to solve it ?? ​
Alik [6]

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

4 \times 2

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

3 \times 2

add both equations and you get

(4 \times 2) + (3 \times 2)

The answer is 14cm! Don't forget to label. ;)

8 0
3 years ago
What is the length of BC? Round to the nearest tenth
Degger [83]

Answer:

9.9

use the special triangle formula or use cosine to find BC

7 0
3 years ago
What is the mean of the data set? {21, 23, 25, 25, 26, 28, 28, 28, 31, 33} 26.8 27 27.8 28
Lerok [7]
In mathematics, mean average means to take the sum of all the numbers and divide the sum by the number of elements in the set.

Add up the numbers.

<span>21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268

Divide by the number of elements in the set. Which is 10.

268 / 10 = 26.8

So, the answer to this question is 26.8</span>
8 0
3 years ago
Read 2 more answers
Pweaseee help!!!!!!!!!!!!!!!​
liraira [26]
To simplify this expression would be 4x-3
8 0
3 years ago
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