MATHEMATICS HIGH SCHOOL

Which identifies all the integer solutions of |x| = 17?a. –17 and 17
b. 0 only
c. 17 only
d. –17 only

Answers

Answer 1
Answer: C because those are called absolute value bars. That means that 17 and -17 both have an absolute value (away from zero) of 17

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15. (a) Work out the value of 25-3

Answers

25 - 3 = 22

This is because subtraction is the operation of finding the difference between two numbers. To subtract 3 from 25, we start from 25 and count backwards 3 units.

What is 1000 times 80%

Answers

800

(80% = .8, 1000 x .8 = 800)
80%×1000
:80/100×1000
80000/100
800

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is larger than ∠B2.) a = 31, c = 42, ∠A = 39° ∠B1 = ° ∠B2 = ° ∠C1 = ° ∠C2 = ° b1 = b2 =

Answers

Answer:

Step-by-step explanation:

In triangle ABC we havea = 31, c = 42, ∠A = 39°

To find other sides and angles.

Use sine formula for triangles

(a)/(sin A) =(b)/(sin B) =(c)/(sinC) \n(31)/(sin39) =(b)/(sinB) =(42)/(sinc)

Cross multiply to get

Angle C =58.5^(o) or 121.5

Angle B = 180-A-C

=82.5^(o) or 19.5

b =18.84 or 16.44

There are two triangles

with

Side a = 31\nSide b = 48.84\nSide c = 42\nAngle ∠A = 39° \nAngle ∠B = 82.50° \nAngle ∠C = 58.5°

Side a = 31\nSide b = 16.44204\nSide c = 42\nAngle ∠A = 39° \nAngle ∠B = 19.5° \nAngle ∠C = 121.5°

Prove that:{ \sqrt { n } }^{ { \sqrt { n } }^{ \sqrt { n } } }=\sqrt { { n }^{ \sqrt { { n }^{ \sqrt { n } } } } }

Answers

Sorry for the quality :D

Find the radius of a sphere with a volume of 589 cubic centimeters

Answers

Answer:   The radius of a sphere is 5.20 cm.

Step-by-step explanation:

Volume of sphere = (4)/(3)\pi r^3 , where r = radius of sphere.

Given : Volume of sphere : 589 cubic centimeters

As per formula , we have

(4)/(3)\pi r^3=589 \n\n\Rightarrow\ r^3=(589*3)/(4\pi)=(441.75)/(\pi)=(441.75)/(3.14)\n\n\Rightarrow\ r^3=140.684713376\approx140.68\n\n\Rigghtarrow\ r=\sqrt[3]{140.68} \approx5.20

Thus , the radius of a sphere is 5.20 cm.
volume of sphere  =  \pir³

if volume of this sphere =  589 cm³

then  πr³ = 589 cm³
            r³  =  (589cm^(3) )/( \pi )
              
            ∛r³     =   ∛187.485 cm³

∴            r       =  5.72 cm

2. If a circle has the diameter of 8, what is the circumference?

Answers

Since diameter is 8 the circumference is 8 pi
3.14 is the circumference and the diameter is 8 ,diameter is half of a radius so you have to do 3.14 times 16 and that's you circumference
answer:50.24
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