All categories

3 years ago

Help please I will give brainliest

Mathematics

1 answer:

Helga [31]3 years ago

4 0

Answer:

B is the answer I believe.

Step-by-step explanation:

I think B

You might be interested in

One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has

Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = $2x-6$

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

$108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0$

Now we will find the roots of x by factorizing the equation we get;

$x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0$

Now we will solve for 2 values of x we get;

$x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft$

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = $2x-6=2\times12-6 =24-6 =18\ ft$

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0

3 years ago

What is the area of this polygon? Enter your answer in the box.

inna [77]

Area of Square/Rectangle-LxW
Area of triangle-BxH(divided by)2

Area of polygon=56

4 0

1 year ago

Read 2 more answers

Given ABC find the values of x and y. In your final answer, include all of your calculations.

kow [346]

So with this, we will be using proportions. To solve for x, our proportion will be $\frac{x}{6} =\frac{6}{x-9}$

Firstly, cross-multiply: $x^2-9x=36$

Next, subtract 36 on both sides: $x^2-9x-36=0$

Next, replace -9x with 3x-12x $x^2+3x-12x-36=0$

Next, factor x^2+3x and -12x-36 separately: $x(x+3)-12(x+3)=0$ . After, rewrite it as $(x-12)(x+3)=0$

Next, solve for x separately in the two parentheses:

$x-12=0\\ x=12$

$x+3=0\\ x=-3$

Since we can't have a negative length, x = 12.

To solve for y, our proportion will be $\frac{y}{9} =\frac{12}{y}$

Firstly, cross-multiply: $y^2=108$

Next, just square root each side, and your answer will be (rounded to hundredths) $y=10.39$

In short, x = 12 and y = 10.39.

5 0

3 years ago

mike is filing 2 cylindrical containers with paint. the larger container has dimensions three times those of the smaller contain

ser-zykov [4K]

Bigger is tripples other thing

small radius=5 so big is 5*3=15
small height=6 so big is 6*4=18

Vcylinder=hpir^2
V=18pi15^2
V=18pi225
V=4050pi
pi=3.141592
V=12723.4476 cubic inchs

0.4 per cubic insh

0.4 times 12723.4476=5089.37904 oz

3 0

3 years ago

2b<img src="https://tex.z-dn.net/?f=%202%20b%5E%7B2%7D%20-26b%2B80%3D0%3F%3F" id="TexFormula1" title=" 2 b^{2} -26b+80=0??" alt=

Lerok [7]

Factor out it by 2.
2(b² - 13b + 40) = 0
b² - 13b + 40 =0
This equation can be solved using the quadratic formula. If you know what a quadratic formula is, then you can get the two values for b. For instance,
(b - 8)(b - 5) = 0

Separate the two "roots", you will get:
b - 8 = 0
b = 8
and
b - 5 = 0
b = 5

Therefore the two values of b are 8 and 5.

4 0

3 years ago

Help please​ I will give brainliest

Help please I will give brainliest