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2 years ago

5

Help help help help help help

2 answers:

Rzqust [24]2 years ago

8 0

I’m pretty sure it’s A sorry if I’m wrong

Keith_Richards [23]2 years ago

4 0

The answer has to be A,

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What two steps are necessary to put this equation into standard form?

andrew-mc [135]

X² - 3x + 27 = 8x - 3 аdd 3 to both sides ⇒
+ 3 + 3
---------------------------
x² - 3x + 30 = 8x subtract 8x from both sides ⇒<span>
- 8x - 8x
--------------------------
x</span>² - 11x + 30 = 0 ← <span>standard form
</span>

A. Add 3 to both sides and subtract 8x from both sides.

4 0

2 years ago

Read 2 more answers

Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

An object with a mass of 4 kg is hanging from an axle with a radius of 36 cm. if the wheel attached to the axle has a radius of

Airida [17]

The answer is of course 78cm

7 0

3 years ago

How much is 1/9 of 3/8? 1/24 19/72 8/27 27/8

muminat

The correct answer is 1/24

3 0

3 years ago

What is the value of x?<br> Enter your answer in the box

ella [17]

Answer:

32

Step-by-step explanation:

This is an equilateral triangle, the 3 sides are equal.

Also, that means 3 angles are equal.

Given the 2 angles, we can say:

2x - 4 = 5y

Also, the angle is "5y" as they are equal.

Sum of 3 angles of a triangle is 180, so we can write:

2x - 4 + 5y + 5y = 180

2x + 10y - 4 = 180

2x + 10y = 184 [Equation 2]

From the first equation we can solve for y:

$2x - 4 = 5y\\y=\frac{2x-4}{5}$

Now, we plug this into Equation 2 and find x:

$2x+10y=184\\2x+10(\frac{2x-4}{5})=184\\2x+4x-8=184\\6x=192\\x=32$

So x is 32

3 0

3 years ago