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3 years ago

12

Use the Theorem of Pythagoras twice to calculate the lengths marked x. Give your answers accurate to 4sf. 　　　　　　　　　　　　　　　　　　　　　　

　　　　　　　　　　　　　　　　　　　　　

1 answer:

bogdanovich [222]3 years ago

4 0

It helps to split up the triangles and solve for the unmarked side, which i called y

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a 10-foot ladder leans against a wall with its foot braced 3 feet from wall's base. how far up the wall does the ladder reach? r

andrezito [222]

Use pythagoras teorem

10^2 = 3^2 + x^2

x^2 = 100 - 9 = 91

x = 9.54 feet to nearest hundredth

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3 years ago

I need help with this question an i cant get it wrong

Gennadij [26K]

Divide your shape into two different shapes. a cube and a rectangular prism.

the cube has the measurements of 20*20*20 giving it a volume of 8000 inches^3

the rectangular prism has the measurements of 40*30*20 giving it a volume of 24000 inches^3

now add them together to get 32,000 inches^3 as your answer

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3 years ago

A stretch of highway that is 12 1/4 miles long has a speed limit signs every 7/8 of a mile. How many speed limit signs are on th

Maksim231197 [3]

Well 12 times four is 48 so you add 48 and 1 and the first fraction (12 1/4) becomes 49/4 then you multiply this by two so it becomes 98/8 now you can take 98 dived by 7 to make 14 speed limit signs on the highway

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3 years ago

Read 2 more answers

Hello, may I please have some help on these 4 questions? Thanks very much! {Also, if you could answer them quick, that would be

wlad13 [49]

1.

Parallelogram with base a = 20 in. and height h = 16 in.
Triangle with base a = 20 in. and height b = 8 in.

so:

$A = A_P+A_T=a\cdot h+\frac{1}{2}\cdot a\cdot b=20\cdot16+\frac{1}{2}\cdot20\cdot8=320+80=\\\\=\boxed{400\text{ in}^2}$

2.

Trapezoid with base b₁ = 14 cm, base b₂ = 4 cm and height h = 10 cm
Triangle with base b₁ = 14 cm and height x = 18 cm - 10 cm = 8 cm

so:

$A=A_T+A_\Delta=\frac{1}{2}\cdot(b_1+b_2)\cdot h+\frac{1}{2}\cdot b_1\cdot x=\\\\=
\frac{1}{2}\cdot(14+4)\cdot 10+\frac{1}{2}\cdot 14\cdot8=\frac{1}{2}\cdot18\cdot 10+\frac{1}{2}\cdot 14\cdot8=90+56=\\\\=\boxed{146\text{ cm}^2}$

3.

We have three rectangles:

$A=A_1+A_2+A_3=1\cdot 4+6\cdot5+18\cdot6=4+30+108=\boxed{142\text{ ft}^2}$

4.

Area of a circle:

$A_\circ=\pi\cdot r^2=3.14\cdot5^2=3.14\cdot25=78.5 \text{ cm}^2$

Area of a rectangle:

$A_R=8\cdot 6=48\text{ cm}^2$

Area of the shaded region:

$A=A_\circ-A_R=78.5-48=\boxed{30.5\text{ cm}^2}$

3 0

3 years ago

Which expression is EQUIVALENT to (m^8 n^-4) 1/4 ?

mamaluj [8]

Answer:

It's C because (m^8)^1/4 can simplify to (m^2)

and (n^-4)^1/4 can simplify to (n^-1), which would then become 1/n because it is a negative exponent.

Combine the two and you get: m^2/n

Step-by-step explanation:

6 0

3 years ago