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3 years ago

Which is the length of a student's textbook?

Mathematics

2 answers:

Volgvan3 years ago

5 0

The answer is 30 centimetres

BabaBlast [244]3 years ago

5 0

30 centimeters

Hope it helps you

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Point P is the center of the circle in the figure above. What is the value of x?

LenaWriter [7]

Answer:

x = 80°

Step-by-step explanation:

To find x, we need to create an equation.

Recall that the sum of all the 4 interior angles of a quadrilateral = 360°.

Therefore:

m<B + m<A + m<C + m<P = 360°

m<B = 20° (given)

m<C = 20° (given)

m<A = ½*x = x/2 (inscribed angle theorem)

m<P = (360 - x)°

Plug in the values and solve for x

$20 + \frac{x}{2} + 20 + (360 - x) = 360$

$20 + \frac{x}{2} + 20 + 360 - x = 360$

Collect like terms

$20 + 20 + 360 + \frac{x}{2} - x = 360$

$400 + \frac{x}{2} - x = 360$

Subtract 400 from each side 

$400 + \frac{x}{2} - x - 400 = 360 - 400$

$\frac{x}{2} - x = -40$

$\frac{x - 2x}{2} = -40$

$\frac{-x}{2} = -40$

Multiply both sides by 2

$\frac{-x}{2} \times 2 = -40 \times 2$

$-x = -80$

Divide both sides by -1

$\frac{-x}{-1} = \frac{-80}{-1}$

$x = 80$

3 0

3 years ago

Need help!

blagie [28]

$\mathcal \pink{GIVEN:}$

Radius = 3 m
Height = 7 m

$\mathcal \purple{TO \: FIND:}$

Volume = ?

$\mathcal \blue{CALCULATION:}$

$\qquad{ \sf \: volume = \pi{r}^{2}h }$

Where,

r is radius
h is height

$\qquad{ \tt\nrightarrow \: \frac{22}{7} \times {3}^{2} \times 7}$

$\qquad{ \tt\nrightarrow \: \frac{22}{ \cancel7} \times {3}^{2} \times \cancel7}$

$\qquad{ \tt\nrightarrow \: 22 \times {3}^{2} }$

$\qquad{ \tt\nrightarrow \: 22 \times 9 }$

$\qquad{ \boxed{ \tt\Rrightarrow \: 198\: {m}^{3} }}$

➪ Henceforth, The volume of the cylinder is 198 m³...

6 0

2 years ago

F(x)= -3x^2+2 g(x)= f(x)+4

balu736 [363]

Answer:

=-46

Step-by-step explanation:

F(x)=-3(4)^2+2

F(x)=-48+2

F(x)=-46

8 0

3 years ago

James has $120 in his savings account and plans to save 5x each month for 6 months. The expression 56x + 120 represents the tota

Kazeer [188]

Answer: Factorization of 6x + 120 = 6(x+20)

Factors = 6 and x+20

Step-by-step explanation:

Given: The expression 6x + 120 represents the total amount in the account after 6 months.

We need to factor the expression 6x + 120

We can write this as

6 x + 6 (20)

Common factor = 6 in both terms

So, 6 x + 6 (20) = 6(x+20)

Hence, Factorization of 6x + 120 = 6(x+20)

7 0

3 years ago

Kako put 3 4/10 bags of fertilizer on the front lawn and 2 2/3 bags of fertilizer on the back lawn. How many bags of fertilizer

earnstyle [38]

Ok. Since the fractions aren't the same, we have to make them common. They both have 30 in common.
4/10 = 12/30 I multiplied this 4 by 3 since I did 10 times 3.
2/3 = 20/30 Same with this one. Since 3 times 10, 2 times 10
Now you add the things to get 32/30, simplify to 1 2/30, and again to get 1 1/15.
Now add
3+2+1/15 = 6 1/15
He used 6 1/15 bags of fertilizer.

8 0

3 years ago