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3 years ago

What is a decimal equivalent to 17

Mathematics

1 answer:

sertanlavr [38]3 years ago

3 0

Answer:

17.0

Step-by-step explanation:

0 has no value.

Which means 17.000000000 = 17.

As a decimal, 17 is the only number with a number Value.

The decimal point and the 0 don’t change the number 17.

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These triangles could be proven congruent by ASA. True or False.

RSB [31]

True they could be congruent by ASA

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3 years ago

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Find the median. 90, 88, 100, 82, 80.

gavmur [86]

Answer:

100 is the median for te above observations

<h2>HOPE IT HELPED </h2>

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3 years ago

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baherus [9]

Answer: see proof below

Step-by-step explanation:

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

Ernie Rolph borrowed $3200 at 10% annual simple interest. If exactly 1 year later he was able to repay the loan without penal

Setler [38]

Answer:

$320

Step-by-step explanation:

From simple interest formular

A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained

int=Rt where R is rate of interest in decimal form, t is duration

The rate of 10% converted to decimal is 10/100=0.1

Substituting P for $3200, R for 0.1 and t for 1 year

A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520

To find the interest, it's A-P hence $3520-$3200=$320

Therefore, interest owed is $320

6 0

3 years ago

I need help on 11-16

alisha [4.7K]

I cant see all of 11 and 14
12:
$3f = 18 \\ \frac{3f}{3} = \frac{18}{3} \\ f = 6$
13:
$3f = {3}^{2} \\ 3f = 9 \\ \frac{3f}{3} = \frac{9}{3} \\ f = 3$
15:
$3h = 9 + 10 \\ 3h = 19 \\ \frac{3h}{3} = \frac{19}{3} \\ h = 6.3$
16:
$3f = 27 - 21 \\ 3f = 6 \\ \frac{3f}{3} = \frac{6}{3} \\ f = 2$

6 0

4 years ago