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3 years ago

What does A equal to

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

Since you know that PQ=RQ, you have an equilateral triangle. This makes things very simple.
Angle R should be the same as angle P.
A triangle is equal to 180 degrees.
Add angles P and R. Subtract 180 from the answer you got. That will give you 2a. a divided by 2 will give you a.

Or, since there are two right triangles, you can add 47 and 90. Subtract 180 from that and you will get a.

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Identify the polynomial.

Leona [35]

Answer:

Binomial

Step-by-step explanation:

P = a² + bcd³

The polynomial contains two terms, so it is a binomial.

6 0

3 years ago

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If the cube has a volume of approximately 561.5 cm, what is the approximate area of the cross-section shown?

never [62]

Answer:

The area of the cross section of the cube is 68 cm

Step-by-step explanation:

Volume of the cube is $a^{3}$

$a^{3}$ $=$ 561·5 cm $($ Given $)$

a $=$ edge or side of the cube

so, cube root on both the side will be

a $=$ 8·25 cm

Cross section area of the cube is it depends where you cut the cube if cut the cube parallel and perpendicular to the faces then the cross sectional area will be a square whose length is the same as the length of the cube

Cross section area of the cube $=$ $a^{2}$

$=$ $(8.25)^{2}$ cm

$=$ 68 cm

Therefore , the area of the cross section of the cube is 68 cm

5 0

4 years ago

Use synthetic division to divide (3y3 – 9y2 – 56y + 8) ÷ (y – 6).

Tju [1.3M]

Synthetic division yields

$\dfrac{3y^3-9y^2-56y+8}{y-6}=3y^2+9y-2-\dfrac4{y-6}$

See attachment for work

3 0

3 years ago

Read 2 more answers

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

4 0

2 years ago

Cory knows that 16 tablespoons are the same as 1 cup. He needs to measure 3/4 cups, but all he has is a tablespoon. How many tab

Keith_Richards [23]

Answer:

12 tablespoons

Step-by-step explanation:

This question is about converting units.

If you treat the units like they were numbers, you can figure out when you need to multiply and when you need to divide.

What I mean is this: If you have (2/3) * 3 the "3"s will cancel, and you will be left with 2.

With units, if you have 3 inches but you want it in feet, start with

3 inches * (what you want in here has feet on top and inches on the bottom so that the "inches" will cancel and you will be left with 'feet')

3 in * (1 foot/12 in) = 3/12 = 1/4 foot.

Knowing that 16 tablespoons = 1 cup, and knowing we want to change 3/4 cup into tablespoons, we start with the 3/4 cup.

3/4 cup * _______ What you want in the blank is a number in tablesppons on top and cups on bottom so the cups cancel.

3/4 cup * 16 tablespoons/1 cup = (3)(16)/4 = 12 tablespoons.

6 0

2 years ago

Read 2 more answers