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4 years ago

15

Angles of a triangle are 38° and 27°, what is the third angle

1 answer:

topjm [15]4 years ago

3 0

Answer:

115°

Step-by-step explanation:

A triangle always has 3 angles, and thew sum of the angles is always 180°. Therefore,

38° + 27° + x° = 180°

65° + x° = 180°

x° = 115°

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Leia cuts congruent triangular patches with an area of 45 square centimeters from a rectangular piece of fabric that is 18 centi

zimovet [89]

The number of patches that Leia can cut from 32 pieces of the fabric measuring 18 cm by 10 cm will be as follows:
Number of pieces=[total area of fabric]/[area of patch]
area of fabric=18×10=180 cm²
Area of 32 patches=180×32=5760 cm²

Area of patch=45 cm²

Number of patches=5760/45=128 patches

6 0

3 years ago

URGENT! 40 POINTS! PLEASE HELP!

umka2103 [35]

Answer:

(a) $8 x(5 x-6)=40 x^{2}-48 x$

(c) $\begin{aligned}(x-3)(5 x-6) &=5 x^{2}-21 x+18\end{aligned}$

Step-by-step explanation:

(a) To find verify the answer we need to multiplying the equation $8 x(5 x-6)$

$8 x(5 x-6)=40 x^{2}-48 x$

Thus, this statement is true.

(b) To find verify the answer we need to multiplying the equation $-4 x\left(2 x^{2}+1\right)$

$-4 x\left(2 x^{2}+1\right)=-8 x^{3}-4 x$

Hence, the given statement is false.

(c) To find verify the answer we need to multiplying the equation $(x-3)(5 x-6)$

$\begin{aligned}(x-3)(5 x-6) &=5 x^{2}-6 x-15 x+18 \\&=5 x^{2}-21 x+18\end{aligned}$

Hence, the given statement is true.

(d) To find verify the answer we need to multiplying the equation $(2 x+3)\left(x^{2}+3 x-5\right)$

$\begin{aligned}=(2 x+3)\left(x^{2}+3 x-5\right) &=2 x^{3}+6 x^{2}-10 x+3 x^{2}+9 x-15 \\&=2 x^{3}+9 x^{2}-x-15\end{aligned}$

Hence, the given statement is false.

4 0

3 years ago

Read 2 more answers

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centi

sammy [17]

The answer is D:10 cm, I just took it and got this.

4 0

3 years ago

Read 2 more answers

Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to

zubka84 [21]

Answer: Charity is 36 years old today.

Step-by-step explanation:

Let x = Present age of daughter.

Age of Charity = 4x

Age of her husband = 4x+6

After 10 years,

Age of daughter = x+10

Age of Charity = 4x+10

Age of her husband = 4x+6+10=4x+16

As per given,

$x+10+4x+10+4x+16=117$

$9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9$

Present age of Charity = 4(9)=36 years

Hence, Charity is 36 years old today.

4 0

3 years ago

The graph of a function f is shown. Use the graph to estimate the average rate of change from x = –2 to x = 0

vodomira [7]

Answer:

Average rate of change = 2

Step-by-step explanation:

Formula to get the rate of change of a function between x = b and x = a is,

Rate of change = $\frac{f(b)-f(a)}{b-a}$

We have to calculate the average rate of change between x = -2 and x = 0

From the graph attached,

At x = -2,

f(-2) = 0

At x = 0,

f(0) = 4

Therefore, average rate of change = $\frac{f(0)-f(-2)}{0-(-2)}$

= $\frac{4-0}{2}$

= 2

Average rate of change of the given function between x = -2 and x = 0 is 2.

4 0

3 years ago