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3 years ago

8

ANSWER ASAP |What is the measure of angle x?

1 answer:

Marina86 [1]3 years ago

8 0

Answer:

x = 83°

Step-by-step explanation:

41, 56 and the missing angle = 180° ( form a straight angle )

missing angle = 180° - (41 + 56)° = 180° - 97° = 83°

The angle x and the missing angle are vertically opposite and congruent

Hence x = 83°

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Answer this volume based Question. I will make uh brainliest + 50 points

Harlamova29_29 [7]

Answer:

$\huge{\purple {r= 2\times\sqrt[3]3}}$

$\huge 2\times \sqrt [3]3 = 2.88$

Step-by-step explanation:

For solid iron sphere:
radius (r) = 2 cm (Given)

Formula for $V_{sphere}$ is given as:

$V_{sphere} =\frac{4}{3}\pi r^3$

$\implies V_{sphere} =\frac{4}{3}\pi (2)^3$

$\implies V_{sphere} =\frac{32}{3}\pi \:cm^3$

For cone:
r : h = 3 : 4 (Given)
Let r = 3x & h = 4x

Formula for $V_{cone}$ is given as:

$V_{cone} =\frac{1}{3}\pi r^2h$

$\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)$

$\implies V_{cone} =\frac{1}{3}\pi (36x^3)$

$\implies V_{cone} =12\pi x^3\: cm^3$

It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume
$\implies V_{cone} = V_{sphere}$

$\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}$

$\implies 12x^3= \frac{32}{3}$

$\implies x^3= \frac{32}{36}$

$\implies x^3= \frac{8}{9}$

$\implies x= \sqrt[3]{\frac{8}{3^2}}$

$\implies x={\frac{2}{ \sqrt[3]{3^2}}}$

$\because r = 3x$

$\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}$

$\implies r=3\times 2(3)^{-\frac{2}{3}}$

$\implies r= 2\times (3)^{1-\frac{2}{3}}$

$\implies r= 2\times (3)^{\frac{1}{3}}$

$\implies \huge{\purple {r= 2\times\sqrt[3]3}}$
Assuming log on both sides, we find:

$log r = log (2\times \sqrt [3]3)$

$log r = log (2\times 3^{\frac{1}{3}})$

$log r = log 2+ log 3^{\frac{1}{3}}$

$log r = log 2+ \frac{1}{3}log 3$

$log r = 0.4600704139$

Taking antilog on both sides, we find:

$antilog(log r )= antilog(0.4600704139)$

$\implies r = 2.8844991406$

$\implies \huge \red{r = 2.88\: cm}$

$\implies 2\times \sqrt [3]3 = 2.88$

8 0

2 years ago

Solve the system of equations : y = x/2 , y = -x - 3 . You can use any method you wish for solving systems of equations. Check y

lorasvet [3.4K]

Answer:

x=−2 and y=−1

Step-by-step explanation:

<u>Problem:</u>

Solve y=x2;y=−x−3

<u>Steps:</u>

I will solve your system by substitution.

y=1/2x;y=−x−3

Step: Solve y= 1/2x for y:

Step: Substitute 1/2 x for y in y=−x−3:

y=−x−3

1/2x= =−x−3

1/2x+x=−x−3+x(Add x to both sides)

3/2x = -3

3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)

x=−2

Step: Substitute −2 for x in y=1/2x:

y=1/2x

y=1/2(-2)

y=−1(Simplify both sides of the equation)

<u>Answer:</u>

x=−2 and y=−1

5 0

2 years ago

A ladder 15 feet from the base of a building reaches a window that is 35 feet high. What is the length of the ladder to the near

nikdorinn [45]

All you do is use the a+b=c formula lets plug it in
15+b=35
15+20=35
35=35
The answer is 20

7 0

3 years ago

grigory [225]

The measure of angle 3 from the figure is 110 degrees

<h3>Lines and angles</h3>

An angle is the intersection between two lines. From the given figure, we have the following parameters

m∠1= 40°,

m∠2= 70°.

Required

Measure of angle 3

The sum of the interior angles of the triangle is equal to the exterior

Sum of interior = <1 + <2

Sum of interior = 40 + 70

Sum of interior =110 degrees

Hence the measure of angle 3 from the figure is 110 degrees

Learn more on lines and angles here: brainly.com/question/25770607

#SPJ1

3 0

1 year ago

What is the best approximation for the area of a semicircke with a diameter of 11.8 feet? Use 3.14

maxonik [38]

To do this, use this formula=The area is always pie times the radius to the 2nd. But this is for a semicircle so divdie your answer by 2

8 0

3 years ago