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2 years ago

HELP ASAP PLEASE I WILL GIVE YOU THE POINTS !!

Mathematics

1 answer:

Anit [1.1K]2 years ago

3 0

Answer:

51 units2

Step-by-step explanation:

42 + 9 = 51 units2

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What is the surface area of the figure shown? Plz answer asap

Luba_88 [7]

Answer:

$264\ cm^{2}$

Step-by-step explanation:

we know that

The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism

step 1

Find the lateral face of the triangular prism

The lateral area is equal to the area of its four lateral triangular faces

$LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}$

step 2

Find the lateral area of the rectangular prism

The lateral area is equal to the perimeter of the base multiplied by the height

$LA=(4)(6)(6)=144\ cm^{2}$

step 3

Find the area of the base of the rectangular prism

$B=(6)(6)=36\ cm^{2}$

step 4

Find the surface area

$84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}$

3 0

2 years ago

PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.

Liula [17]

Answer:

$\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}$

Step-by-step explanation:

$\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)$

$\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)$

7 0

2 years ago

Read 2 more answers

A bucket contains one green block, one red block, and two yellow blocks. You choose one block from the bucket.

nalin [4]

A. 1/4; 2/4=1/2; 1/4
b. 1
c. 3/4. There are 4 blocks and 3 are not red
d. 1/4+3/4= 4/4=1

8 0

2 years ago

Xavier Designs has the logo shown below on their office door. The logo has two smaller congruent triangles that are similar to t

Alexus [3.1K]

Answer:

183.375 in2

Step-by-step explanation:

I did it on study island.

5 0

2 years ago

In plane ABC the measure of angle A equals 42° the measure of angle B is five times the measure of angle C find the measure of a

krok68 [10]

Step-by-step explanation:

I think what is meant in the triangle ABC we have the three angles.

the sum of all angles in a triangle is airways 180 degrees.

so,

180 = A + B + C

180 = 42 + B + C

now, we know also that

B = 5×C

so, we can use that above

180 = 42 + 5×C + C

138 = 6×C

C = 138/6 = 23 degrees

B = 5×C = 5×23 = 115 degrees

7 0

1 year ago