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2 years ago

Look at the three-dimensional figure.

Mathematics

2 answers:

astraxan [27]2 years ago

8 0

Answer: first one is one is inside the second one is 120

Step-by-step explanation:

creativ13 [48]2 years ago

4 0

Answer:

Step-by-step explanation:

the volume of the prism is the amount of space inside the figure.

120 cubes fit inside the prism, so the figure has a volume of 120 square unite

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What is 8,000,000 + 100,000 + 7,000 + 400 + 20 + 4 in standard form?

DIA [1.3K]

Answer:

8,107,424

Step-by-step explanation:

The 8,000,000 would stay the same, but the second zero would be switched by a one. The third number would still just be a zero. The other zero would turn into a seven, and the last three numbers would be 4, 2 and 4. You can also find the number by adding.

4 0

2 years ago

Read 2 more answers

Differentiate with respect to X <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7Bcos2x%7D%7B1%20%2Bsin2x%20%7D%20

Mice21 [21]

Power and chain rule (where the power rule kicks in because $\sqrt x=x^{1/2}$ ):

$\left(\sqrt{\dfrac{\cos(2x)}{1+\sin(2x)}}\right)'=\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'$

Simplify the leading term as

$\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}$

Quotient rule:

$\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'=\dfrac{(1+\sin(2x))(\cos(2x))'-\cos(2x)(1+\sin(2x))'}{(1+\sin(2x))^2}$

Chain rule:

$(\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)$

$(1+\sin(2x))'=\cos(2x)(2x)'=2\cos(2x)$

Put everything together and simplify:

$\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{(1+\sin(2x))(-2\sin(2x))-\cos(2x)(2\cos(2x))}{(1+\sin(2x))^2}$

$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2\sin^2(2x)-2\cos^2(2x)}{(1+\sin(2x))^2}$

$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}$

$=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}$

$=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}$

5 0

2 years ago

Jessa bought 15 pieces of ribbon. Each piece of ribbon was 2.25 yards long. What is the total amount of ribbon Jessa bought? ent

algol [13]

Hello,

15 pieces of ribbon, each is 2.25 yards long.
15 x 2.25 = 33.75 yards of ribbon.

Hope this helped!

3 0

3 years ago

Read 2 more answers

According to the diagram, an 8-foot-tall statue casts a shadow on the ground that is 15 feet in length. Based on this informatio

Fittoniya [83]

"tan C" is the one trigonometric ratio among the following choices given in the question that has the value 815. The correct option among all the options that are given in the question is the fourth option or option "D". I hope that this is the answer that you were looking for and it has come to your help.

6 0

2 years ago

Read 2 more answers

Solve they system by addition 7x-2y=3 4x+5y=3.25

noname [10]

Answer: x = 2/7y + 3/7 and

x= -5/4y + 0.8125

Step-by-step explanation: Let's solve for x.

7x−2y=3

Step 1: Add 2y to both sides.

7x − 2y + 2y= 3 + 2y

7x = 2y + 3

Step 2: Divide both sides by 7.

7x/7 = 2y+3/7 this is for the second answer Step 1: Add -5y to both sides.

4x+5y+−5y=3.25+−5y

4x=−5y+3.25

Step 2: Divide both sides by

4/4 x 4 = −5y + 3.25/4

4 0

2 years ago