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timurjin [86]
3 years ago
7

Find the GCF of the following literal terms xxyyyzz and xxxxzzz

Mathematics
1 answer:
gregori [183]3 years ago
5 0

Answer:

\large\boxed{x^2z^2}

Step-by-step explanation:

xxyyyzz=\boxed{xx}yyy\boxed{zz}=\boxed{x^2}y^3\boxed{z^2}\\\\xxxxzzz=\boxed{xx}xx\boxed{zz}z=\boxed{x^2}x^2\boxed{z^2}z\\\\GCF(xxyyyzz,\ xxxxzzz)=\boxed{x^2}\boxed{z^2}=x^2z^2

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5x7=35

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In ΔRST, the measure of ∠T=90°, SR = 65, TS = 33, and RT = 56. What is the value of the sine of ∠R to the nearest hundreth
irina [24]

We have been given that in ΔRST, the measure of ∠T=90°, SR = 65, TS = 33, and RT = 56. We are asked to find the value of sine of ∠R to the nearest hundreth.

First of all, we will draw a right triangle using our given information.  

We know that sine relates opposite side of right triangle to hypotenuse.

We can see that side SR is hypotenuse and TS is opposite side to angle R.

\sin(\angle R)=\frac{SR}{TS}

\sin(\angle R)=\frac{65}{33}

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3 0
3 years ago
find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 4 with a(-5,4) and b(7,-4)
scoray [572]

Answer:

p(x,y) = (-2.6 ,2.4)

Step-by-step explanation:

Given

a(-5,4) and b(7,-4)

Required

Partition P

Given that the segment ab is divided into ratio;

The coordinates of point p can be calculated using ratio formula given below

p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})

Where m and n are the ratio; m = 1 and n = 4

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p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n}) becomes

p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})

p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})

p(x,y) = (\frac{-13}{5} ,\frac{12}{5})

p(x,y) = (-2.6 ,2.4)

Hence, the coordinates of p are (-2.6,2.4)

3 0
4 years ago
John bought 15 cookies and ate 3 of them he ate ___% of the cookies
PolarNik [594]

Answer:

20%

Step-by-step explanation:

Divide 3 by 15

3÷15=.20

Convert .20 to a percentage

20%

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3 years ago
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