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3 years ago

Place the Math symbols in the "__"

Mathematics

2 answers:

Natalka [10]3 years ago

4 0

24 + 12 / 6 x 3
=36 / 6 x 3
= 6 x 3
= 18

taurus [48]3 years ago

3 0

24-12-6×3=18.............

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The figure is made up of a square and a rectangle. Find the area of the shaded region.

Viefleur [7K]

Answer:

40 square metres

Step-by-step explanation:

The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.

This width is also the base of the triangle, so b = 8.

Now plug these values into the equation:

A = (1/2) * b * h

A = (1/2) * 8 * 10 = (1/2) * 80 = 40

The area is 40 square metres.

6 0

3 years ago

Read 2 more answers

50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

6 0

3 years ago

Read 2 more answers

F(x) = -log -(x - 1)

guajiro [1.7K]

What are you looking for?

7 0

4 years ago

Marcella incarica Dora di aiutarla a suddividere 35 perle tra le sue tre figlie. Alla figlia maggiore vuole regalare la metà, al

Blizzard [7]

Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

5 0

3 years ago

How do i find the perimeter and area?

Contact [7]

First, we need to find the base. To do so, we will need to use the Pythagorean Theorem on one of the smaller triangles to solve for its unknown side. Then, we can double the base of the one to find the base of the whole.

Pythagorean Theorem: a^2 + b^2 = c^2

(12)^2 + b^2 = (16)^2

144 + b^2 = 256

b^2 = 112

b = $\sqrt{112}$