All categories

3 years ago

What is the simplified form of 3 Start Root 5 c End Root times Start Root 15 c cubed End root? (worth 30 brainily points)

Mathematics

1 answer:

aleksley [76]3 years ago

8 0

Answer:

A. 15 c squared Start Root 3 End Root

Step-by-step explanation:

$3\sqrt{5c} *\sqrt{15c^3} \\$

Multiply the terms inside the square roots together

$3\sqrt{75c^4}$

Look for items that are perfects squares

$3\sqrt{25*3*c^4}$

We can separate terms inside the square root into separate square roots

$3\sqrt{25} *\sqrt{3}*\sqrt{c^4}$

$3*5 *\sqrt{3} *c^2$

Combine like terms

$15c^2\sqrt{3}$

You might be interested in

What is 2x-6 = 3x+1-X-7 and you have to regroup/ divide by number next to x?

Elena L [17]

Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

5 0

3 years ago

A gym has three trainers, Aldo, Bertha, and Coco, who each have 1/3 of the new members. A person who trains with Aldo has a 60%

GarryVolchara [31]

Answer:

1/10

Step-by-step explanation:

P(a successful member

had Bertha as her trainer) = P(Bertha being you trainer) x P(being successful if

trained by Bertha)

= 1/3 x 30/100

= 30/300

= 1/10

8 0

3 years ago

Penelope works as a lifeguard at the neighborhood pool. The chart shows

ladessa [460]

Answer:

a. $60

b. it doesn't show how much Mark makes on here so I can't give an answer

5 0

3 years ago

Calvin throws 12 sheets of paper up in the air and randomly catches one of the sheets as they float down. Of the 12 sheets of pa

Leokris [45]

Total number of sheets are 12.

Total number of white sheets= 9

Total number of red sheets = 3

Probability = Number of favorable outcomes/ total number of outcomes.

Hence

When Calvin throws the sheets in the air, the probability that he gets a white sheet is

$\frac{9}{12}$

which equals to $\frac{3}{4}$

that becomes 0.75

7 0

3 years ago

Given: KLMN is a trapezoid, m∠N=m∠KML, FD=8, LM KN = 3 5 F∈ KL , D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3 5 Find: KM

denis23 [38]

Answer:

The length of side KM is $\sqrt{109}$ units.

Step-by-step explanation:

Given information: KLMN is a trapezoid, ∠N= ∠KML, FD=8, LM:KN=3:5, F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, $ME=3\sqrt{5}$ .

From the given information it is noticed that the point F and D are midpoints of KL and MN respectively. The height of the trapezoid is $3\sqrt{5}$ .

Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.

Since LM:KN=3:5, therefore LM is 3x and KN is 5x.

$\frac{3x+5x}{2}=8$

$\frac{8x}{2}=8$

$x=2$

Therefore the length of LM is 6 and length of KN is 10.

Draw perpendicular on KN form L and M.

$KN=KA+AE+EN$

$10=6+2(EN)$ (KA=EN, isosceles trapezoid)

$EN=2$

$KE=KN-EN=10-2=8$

Therefore the length of KE is 8.

Use pythagoras theorem is triangle EKM.

$Hypotenuse^2=base^2+perpendicular^2$

$(KM)^2=(KE)^2+(ME)^2$

$(KM)^2=(8)^2+(3\sqrt{5})^2$

$KM^2=64+9(5)$

$KM=\sqrt{109}$

Therefore the length of side KM is $\sqrt{109}$ units.

8 0

3 years ago

Read 2 more answers