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3 years ago

Use the distributive property to write an equivalent expression. 10(5v+3)

Mathematics

1 answer:

emmainna [20.7K]3 years ago

3 0

Answer:

50v + 30

Step-by-step explanation:

you just multiply what's outside the bracket so 10 with the inner numbers and variables

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PLEASEEEE HELPPP MEEE <br> 6 and 7 PLEASE

Nitella [24]

Answer:

Question 6

$\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8$

Question 7

The width is 2x.

Step-by-step explanation:

Question 6)

Expand

$(5a+2)(a+4)$

solving to the expand

$(5a+2)(a+4)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

$a=5a,\:b=2,\:c=a,\:d=4$

so the expression becomes

$=5aa+5a\cdot \:4+2a+2\cdot \:4$

$=5aa+5\cdot \:4a+2a+2\cdot \:4$

$=5a^2+20a+2a+8$

adding similar elements: 20a+2a=22a

$=5a^2+22a+8$

Hence,

$\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8$

Question 7)

Given

$A\:=\:8x^2$

$l=4x$

Using the formula

width = Area/Length

$=\:\frac{8x^2}{4x}$

$=2x$ ∵ $\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2$

Therefore, the width is 2x.

5 0

3 years ago

Could someone please check my answer and explain? im not sure if im doing this right

Juli2301 [7.4K]

Answer:

$V=1071.78\ cm^3$

Step-by-step explanation:

Given that,

The radius of the cone, r = 8 cm

The height of the cone, h = 16 cm

We need to find the volume of the cone. The formula for the volume of the cone is given by :

$V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 8^2\times 16\\\\V=1071.78\ cm^3$

So, the volume of the cone is equal to $1071.78\ cm^3$ .

6 0

3 years ago

The diameter of 0 gauge copper wire is 8.252 mm. Find the resistance (in ω) of a 2.40 km length of such wire used for power tran

VashaNatasha [74]

d = diameter of the copper wire = 8.252 mm

r = radius of the copper wire = d/2 = 8.252 mm /2 = 4.126 mm = 0.004126 m

A = area of cross-section of the copper wire = πr² = (3.14) (0.004126)² = 53.5 x 10⁻⁶

L = length of the copper wire = 2.40 km = 2400 m

ρ = resistivity of copper wire = 1.68 x 10⁻⁸

resistance of copper wire is given as

R = ρL/A

inserting the above values in the formula

R = ( 1.68 x 10⁻⁸)(2400)/(53.5 x 10⁻⁶)

R = 0.753 ohm

8 0

4 years ago

Find the measurement of angle A (round to the nearest tenth)

Nata [24]

Answer:

B) θ = 17.1 degrees

Step-by-step explanation:

Here we have to use the tan ratio to find the answer.

tan = Opposite / Adjacent

Given: Opposite = 4, Adjacent = 13

tan θ = 4/13

θ = tan^-1 (4/13)

θ = 17.1 degrees

Answer: B) 17.1 degrees

Thank you.

7 0

3 years ago

Read 2 more answers

Which of the following expressions could be used to find the area of the larger rectangle? 3(64 mm2) 9(64 mm2) 9(32 mm2) 3(576 m

kari74 [83]

Answer:

$9(64)\ mm^{2}$

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=bh$

In this problem we have

the larger rectangle

$b=48\ mm$

$h=12\ mm$

substitute

$A=48*12=(4*4*3)(4*3)=(3*3)(4*4*4)=9(64)=576\ mm^{2}$

4 0

3 years ago