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nalin [4]
2 years ago
13

Christy bought a 9- foot piece of lumber trim bookshelf. Altogether, she needs 100 inches of lumber. Did Christy buy enough lumb

er? Show your work and explain.
Mathematics
1 answer:
a_sh-v [17]2 years ago
5 0

Answer:

Yes.

Step-by-step explanation:

because 9 feet converted to inches equals 108 inches, we know this because we can convert feet to inches via multiplication. To do this, simply multiply the given number (9) by 12 to get your answer.

You might be interested in
Find the measure of the indicated angle:<br> 30°<br> 52⁰<br> ?<br> 28°
grin007 [14]

Answer:

54°

Step-by-step explanation:

180° - 52° - 30° = 98°

180 - 98° - 28° = 54°

8 0
2 years ago
(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.
Nana76 [90]

Look at the picture.

\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}

We have the right triangle x, y and r. From the Pythagorean theorem we have:

r^2=x^2+y^2\to r=\sqrt{x^2+y^2}

We have the point

\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)

Substitute:

r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1

\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}

8 0
3 years ago
The present shown below is a cube.
anastassius [24]

Answer:

SA = 2400 cm²

Step-by-step explanation:

SA of a cube = S² x 6 (the number of its faces)

SA = 20² x 6

SA = 400 x 6

SA = 2400 cm²

8 0
2 years ago
(8 x 3) + (8 x 2) = 8 x (blank + blank)
kakasveta [241]

Step-by-step explanation:

(8 x 3) + (8 x 2) = 8 x (3 + 2)

24 + 16 = 8 * 5

40 = 40

Hope it will help :)❤

8 0
2 years ago
Can someone please help me
Readme [11.4K]
Surface Area of the figure is 1208 square centimeters
a=20
b=13
c=12
d=5
e=8
Top face:
A1=a×e=20×8
ae=160
Bottom face:
A2(a+2d)×e=(20+2×5)×8=(20+10)×8=30×8
(a+2d)e=240
Front face:
Rectangle
a×c=20×12=240
Triangle:
12c×d=12×12×5=6×5=30
A3Rectangle +2 triangles
240+2×30=240+60=300
(a+d)c=300
Slant face:
A4=b×e=13×8=104
be=104
Total surface area
A=A1+A2+2(A3+A4)
A1=160
A2=240
A3=300
A4=104
Thus,
A=160+240+2(300+104)
A=400+2(404)
A=400+808=1208
Surface Area of the figure is 1208 square centimeters


8 0
2 years ago
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