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2 years ago

Find x+y+z from the following figure

Mathematics

1 answer:

hoa [83]2 years ago

8 0

Step-by-step explanation:

the inner top vertex angle seems to be 90°, so x = 90° too. all angles around a single point in one side of a line are in total 180°.

also, remember, all angles inside a triangle always sum up to 180°.

so, the third inner angle of the triangle is

180 - 90 - 40 = 50°.

that makes z = 180 - 50 = 130°

and y = 180 - 40 = 140°.

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The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the f

Advocard [28]

Answer:

r=8 ft

Step-by-step explanation:

V/6π=r2

r=√v/6π

r=√1206 cubic feet/6π

r=8 ft

4 0

3 years ago

The circle shows the radius of 12mm what is the circumference

gulaghasi [49]

Answer:

24π or about 75.4 mm

Step-by-step explanation:

The circumference of a circle is denoted by C = 2πr, where r is the radius.

Here, we see that r = 12, so plugging this in:

C = 2πr

C = 2π * 12 = 24π ≈ 75.4 mm

The answer is thus 24π or about 75.4 mm.

~ an aesthetics lover

4 0

3 years ago

Read 2 more answers

Work out the lengh of RS gue your answer to 3 significant figures

atroni [7]

Answer:

RS ≈ 5.83 units

Step-by-step explanation:

Calculate RS using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)

RS = $\sqrt{(2+3)^2+(4-1)^2}$

= $\sqrt{5^2+3^2}$

= $\sqrt{25+9}$

= $\sqrt{34}$ ≈ 5.83 ( to 3 significant figures )

8 0

3 years ago

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Afina-wow [57]

Answer:

3rd option

Step-by-step explanation:

Given

x³ - 7x² - 5x + 35 ( factor the first/second and third/fourt terms )

= x² (x - 7) - 5(x - 7) ← factor out (x - 7) from each term

= (x² - 5)(x - 7)

5 0

2 years ago

John invested $17,500 that

babymother [125]

Answer:

The future value of the investment after 10 years is $ 29,240.53

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Principal = $ 17,500

Interest rate = 5.2% = 0.052 compounded semiannually

Time = 10 years = 20 semesters

2. What is the future value of the investment after 10 years?

Let's use the formula of the Future Value, to calculate it for this investment:

FV = P * (1 + r) ⁿ

Let's replace with the real values:

FV = 17,500 * (1 + 0.052/2)²⁰

FV = 17,500 * 1.670887521

FV = 29,240.53

6 0

3 years ago

Find x+y+z from the following figure​

Find x+y+z from the following figure