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3 years ago

Need help finding the length of Ac

Mathematics

1 answer:

BigorU [14]3 years ago

5 0

Answer:

We need to know angle C which is (180 -123 -34) = 23°

We'll use the Law of Sines

Sine (A) / side a = Sine (B) / side b

Sine (34) / 10 = Sine (123) / side b

0.55919 / 10 = 0.83867 / side b

10 * .83867 / .55919 = side b

side b (or line AC) = 14.998

Step-by-step explanation:

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Angelina_Jolie [31]

Answer:

Investigation 1

Step-by-step explanation:

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5 0

3 years ago

If x=5 and y=2

kykrilka [37]

*Step 1: Plug in values*

(5-2)(5-2)2

*Step 2: Distribute*

(5-2)(10-4)

*Step 3: Solve inside parentheses*

(3)(6)

*Step 4: Multiply

3 * 6 = 18

*Final answer:*

18

3 0

4 years ago

How long is the edge of a cube whose volume is twice that of the cube below? Round to the nearest tenth.

Basile [38]

Answer:

$\large\boxed{10.1\ cm}$

Step-by-step explanation:

The formula of a volume of a cube:

$V=a^2$

a - length of the edge

We have a = 8cm. Substitute:

$V=8^3=512\ cm^3$

The volume of second cube:

$V'=2V\to V'=2(512\ cm^3)=1024\ cm^3$

The length of the edge of the second cube (b):

$b^3=1024\to b=\sqrt[3]{1024}\ cm^3$

$1024=2^{10}=2^{9+1}=2^9\cdot2$

Used $a^n\cdot a^m=a^{n+m}$

$b=\sqrt[3]{1024}=\sqrt[3]{2^{10}}=\sqrt[3]{2^9\cdot2}=\sqrt[3]{2^9}\cdot\sqrt[3]{2}$

Use $(a^n)^m=a^{nm}$

$=\sqrt[3]{2^{3\cdot3}}\cdot\sqrt[3]{2}=\sqrt[3]{(2^3)^3}\cdot\sqrt[3]{2}$

Use $\sqrt[3]{a^3}=a$

$=2^3\sqrt[3]{2}=8\sqrt[3]{2}\ cm$

$\sqrt[3]{2}\approx1.26\to b\approx8(1.26)\approx10.1\ cm$

Other method:

$V'=2V\\\\V=a^3,\ V'=b^3\to b^3=2a^3\to b=\sqrt[3]{2a^3}\\\\b=a\sqrt[3]2$

$a=8\ cm\to b=8\sqrt[3]2\ cm\approx10.1\ cm$

3 0

4 years ago

What is the scale factor & the length of x & y?

Natali5045456 [20]

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, thus

scale factor = $\frac{4}{6}$ = $\frac{2}{3}$ , then

x = $\frac{2}{3}$ × 9 = 2 × 3 = 6

y = $\frac{2}{3}$ × 7 = $\frac{14}{3}$

5 0

3 years ago

7.EE.1.1

victus00 [196]

Answer:

-0.55n - 0.05

Step-by-step explanation:

You can start by distributing:

(0.25n - 0.3) - (0.8n - 0.25)

0.25n - 0.3 - 0.8n + 0.25

Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)

-0.55n - 0.05

4 0

3 years ago

Read 2 more answers