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4 years ago

Help with the area please

Mathematics

2 answers:

Gnoma [55]4 years ago

7 0

i think its 58 or 70 sorry if i am wrong

Step-by-step explanation:

julsineya [31]4 years ago

6 0

Answer:

Area = 58 cm²

Step-by-step explanation:

8 x 5 = 40

6 x 3 = 18

We don’t know the side length of the middle shape. It must be two lines because opposite sides can’t have different lengths, and they do.

So we can just add what we know.

40 + 18 = 58

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Finding Hypotenuse Lengths. Find the length of the hypotenuse.

ioda

Answer:

11) $\frac{3\sqrt{5}}{2}$

12) $4\sqrt{5}$

13) $22$

14) $18$

15) $2$

16) $24\sqrt{3}$

Step-by-step explanation:

For these problems I used the pythagorean theorem: $a^{2}+ b^{2}= c^{2}$ and SOHCAHTOA

Sin = $\frac{opposite}{hypotenuse}$

Cos = $\frac{adjacent}{hypotenuse}$

Tan = $\frac{opposite}{hypotenuse}$

11)

First find the length of the bottom side by using Cos

$cos(60)=\frac{x}{3}$

$3(cos(60))=x$

$1.5=x$

Then plug it into the formula for the pythagorean theorem to find the hypotenuse

$3^{2}+ 1.5^{2}= c^{2}$

$9+2.25=c^{2}$

$\sqrt{11.25}=\sqrt{c^{2}}$

$\frac{3\sqrt{5}}{2}$

12)

Find the length of the bottom side using Cos

$cos(60)=\frac{x}{8}$

$8(cos(60))=x$

$4=x$

Then plug it into the formula for the pythagorean theorem to find the hypotenuse

$8^{2}+ 4^{2}= c^{2}$

$64+16=c^{2}$

$\sqrt{80} =\sqrt{c^{2} }$

$4\sqrt{5}$

13)

Find the length of the other side by using Tan

$tan(30)=\frac{x}{11\sqrt{3} }$

$11\sqrt{3}* (tan(30)=x$

$11=x$

Then plug it into the formula for the pythagorean theorem to find the hypotenuse

$(11\sqrt{3}) ^{2}+ 11^{2}= c^{2}$

$363+121=c^{2}$

$\sqrt{484} =\sqrt{c^{2}}$

$22$

14)

(This is probably an easier way to do these problems)

Find the hypotenuse by using Cos ( $\frac{adjacent}{hypotenuse}$ )

$cos(60)=\frac{9}{x}$

$cos(60)x=9$

$x=\frac{9}{cos(60)}$

$x=18$

15)

Find the hypotenuse using Sin ( $\frac{opposite}{hypotenuse}$ )

$sin(30)=\frac{1}{x}$

$sin(30)x=1\\x=\frac{1}{sin(x)}$

$x=2$

16)

Find the hypotenuse using Cos ( $\frac{adjacent}{hypotenuse}$ )

$cos(60)=\frac{12\sqrt{3} }{x}$

$cos(60)x=12\sqrt{3}$

$x=\frac{12\sqrt{3} }{cos(60)}$

$x=24\sqrt{3}$

5 0

4 years ago

What percentage of one hour is fifteen minutes?

Scilla [17]

1 hour = 60 minutes

15 minutes = (60/15) = 1/4th of an hour

1/4 = 0,25

<span>15 minutes is 25% of an hour</span>

8 0

4 years ago

Wyatt and his family went to the beach. First, they swam in the ocean for 1 hour and 45 minutes. Then they built sandcastles for

Ainat [17]

Answer:

Step-by-step explanation:

time = 60 + 45 + 60 + 40 + 60 + 5 = 180 + 90 = 270

270/60 = 4 hrs and 30 mins

6:15 - 4 hrs = 2:15

2:15 - 30 mins = 1:45 pm

6 0

3 years ago

Maria has baked a cake for cathy birthday. The dimensions of the cake are 13 1/2 inches by 6 3/4 inches.The cake is going to be

umka2103 [35]

I think you have to multiply I am not sure

6 0

3 years ago

At a local grocery store, bananas were on sale. Green bananas were priced at $14.00 and yellow bananas were priced at $12.00. Sa

garri49 [273]

Answer:

Sabrina bought 6 yellow bananas and 3 green bananas

Step-by-step explanation:

Let

Green bananas = x

Yellow bananas = y

Green bananas = $14.00

Yellow bananas = $12.00

Total cost = $114.00

x + y = 9 (1)

14x + 12y = 114 (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

14(9 - y) + 12y = 114

126 - 14y + 12y = 114

- 14y + 12y = 114 - 126

-2y = -12

Divide both sides by -2

y = -12 / -2

= 6

y = 6

Substitute y = 6 into (1)

x + y = 9

x + 6 = 9

x = 9 - 6

= 3

x = 3

Sabrina bought 6 yellow bananas and 3 green bananas

3 0

3 years ago