Ask question

Ask question

All categories

3 years ago

7

What is the base in the expression 45? 4 5 9 20

1 answer:

stiv31 [10]3 years ago

4 0

the answer to your question is 4

You might be interested in

What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

<u>Answer:</u>

Value of cosθ is ±√7/3 .

<u>Step-by-step explanation:</u>

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

3 years ago

A man spent 58% of his income and the amount of money left was $210. Find his income

professor190 [17]

Answer:

500 $

Step-by-step explanation:

$\frac{42\%}{210}=\frac{100\%}{x}$

$\frac{\frac{21}{50}}{210}=\frac{1}{x}$

$\frac{21}{50}x=210\\$

$\frac{21}{50}x\cdot \:50=210\cdot \:50\\$

x=500

<3

Red

6 0

3 years ago

Triangle EFG has coordinates E (0, 0), F (0, 2), and G (3, 0). If ΔEFG ≅ ΔXYZ, what is the measure of XY?

andreev551 [17]

Answer:

2 units

Step-by-step explanation:

Since EFG and XYZ are congruent, we can write it like this:

E = X

F = Y

G = Z

Due to E and F being two units apart on the coordinate plane, we can conclude X and Y are also at a measurement of 2 units! Hope this helps!

4 0

3 years ago

Rationalize the denominator !!!

satela [25.4K]

Answer:

$\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\$

$1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}$

$\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13$

$= \frac{4+\sqrt{3}}{13}$

x = 4

y = 3

z = 13

4 0

2 years ago

Read 2 more answers

Could I have the answer to factorise 16a+12b

Tanzania [10]

Factor out the GCF, which is 4.... 4(4a+3b)

6 0

3 years ago

Read 2 more answers