the area of the triangle is 24 square feet. what is the length of the base?
A) 8 feet
B) 16 feet
C) 21 feet
D) 36 feet

here's the solution,

volume of cone :

=》

[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]

=》

[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]

=》

[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]

=》

[tex]h = 1.253[/tex]

height = 1.25 ft (approximate)

Answer:

Sec(θ) = 3

Step-by-step explanation:

First, we know that:

Sec(x) = 1/Cos(x)

Now we have an angle θ in the intersection between the line y = 3x and the x-axis.

Here we can think of this as a triangle rectangle, such that:

x is the adjacent cathetus to θ

y is the opposite cathetus to θ

y = 3*x is the hypotenuse.

Here we also need to remember the relation:

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Then we will get:

Cos(θ) = x/(3*x) = 1/3

If we multiply both sides by 3, we get:

Cos(θ)*3 = (1/3)*3 = 1

Cos(θ)*3 = 1

Now we can divide both sides by Cos(θ)

[Cos(θ)*3]/Cos(θ) = 1/Cos(θ)

3 = 1/Cos(θ)

And  1/Cos(θ) = Sec(θ)

Then:

3 = Sec(θ)

The exact value of sec theta is 3.

Answer:

I think the first one would be 49 and then 61 hope it helps :)

Answer:

Solution given;

2x²+4x-6

2x²+6x-2x-6

2x(x+3)-2(x+3)

(x+3)(2x-2)

is your answer

Answer:

2(x + 3)(x - 1)

Step-by-step explanation:

Given

2x² + 4x - 6 ← factor out 2 from each term

= 2(x² + 2x - 3) ← factor the quadratic

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) , so

2x² + 4x - 6 = 2(x + 3)(x - 1) ← in factored form

Answer:

solution is in attachment

hope it helps

Complete Question

What is the area of the parallelogram?

Slant Height = 21 cm

Height = 15 cm

Base = 20 cm

Answer:

300cm²

Step-by-step explanation:

The formula for the area of the parallelogram = Base × Height

Base = 20cm

Height = 15cm

Area = Base × Height

= 20cm × 15cm

= 300 cm²

Therefore, the area of the parallelogram is 300 cm²

Answer:B!300 cm!

Step-by-step explanation:hope this helps!!happy Friday!

1 cookie = 45 oz sugar

2 cookies = 2×45 oz = 90 oz

3 cookies = 3×45 oz = 135 oz

...

523 cookies = 523×45 oz = 23,535 oz

Answer:

okay

Step-by-step explanation:

SO MARK THE PERIMETER AND THE FORMULA FOR FINDING TRAPEZUIM IS

area=1/2 (a+b)h

Answer:

144 cm²

Step-by-step explanation:

5x + 12x + 6x + 5x = 56

=> 28x = 56

=> x = 2

DC => 6x = 6(2) = 12

AB => 12x = 12(2) = 24

BC => 5x = 5(2) = 10

AD => 5x = 5(2) = 10

trapezium is an isosceles trapezium because a trapezium with a pair of non-parallel sides(BC&AD) that have equal distances, which are congruent, is an isosceles trapezium.

Thus, the base of the two triangles on each side are congruent.

base: (AB - DC) ÷ 2 = (24 - 12) ÷ 2 = 6

calculate the height using Pythagorean theorem => √10² - 6² = 8

area of the isosceles trapezium ABCD: (12 + 24) × 8 ÷ 2 = 144

Answer: She has 6 nickles and 9 dimes.

Step-by-step explanation:

Let n be the # of nickles. Let d be the # of dimes.

n+d=15

0.05n + 0.1d =1.2

5n+10d=120

5(15-d)+10d=120

75-5d+10d=120

5d=45

d=9

n=15-d

n=15-9

n=6

Answer:

202 cm

Step-by-step explanation:

You need to add the areas of the faces, and since it is a cuboid opposite faces are the same. If you do 2(5x9) + 2(4x9) + 2(4x5) you will get your answer.

Answer:

Hello Love! Answer: 202

Step-by-step explanation:

First off we have to do all 6 faces remember that each face will have a matching face that goes along with it so Imma start with the front face that would be 9 x 5 = 45 same for back face

Then ill do sides that will be 5 x 4 = 20 for both left and right sides Then ill do top and bottom

thats 4 x 9 = 36 Now ill add all of these up.

So 45 + 45 + 20 + 20 + 36 + 36 and that = 202

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scale factor is:

Ratio of surface areas is:

Surface area will be 25 times smaller

Correct choice is D

We know the ratio of sides to area

So

If diameter is multiplied by 1/5

Surface are increases

25 times smaller

Answer:

(a) Their rates of change differ by 2

Step-by-step explanation:

Given

See attachment for functions M and P

Required

Determine what is true about the rates of M and P

First, we calculate the slope (i.e. rate) of both functions.

Slope is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

From the table of M, we have:

[tex](x_1,y_1) = (-2,-9)[/tex]

[tex](x_2,y_2) = (2,11)[/tex]

So, the slope is:

[tex]m_M = \frac{11 --9}{2--2}[/tex]

[tex]m_M = \frac{20}{4}[/tex]

[tex]m_M = 5[/tex]

For function P, we have:

[tex]y = 7x + 9[/tex]

A function is represented as:

[tex]y = mx + b[/tex]

Where:

[tex]m = slope[/tex]

So, by comparison:

[tex]m_P = 7[/tex]

At this point, we have:

[tex]m_M = 5[/tex] --- Slope of M

[tex]m_P = 7[/tex] --- Slope of P

Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2

Other options are not true

Answer:

C

Step-by-step explanation:

53 + 44 + x = 180

97 +x = 180

x = 83

Answer:

12xy - 4x - 2y

Step-by-step explanation:

9xy - 4x + 3yx - 2y

3yx can be written as 3xy so we have:

12xy - 4x - 2y

Answer:

100.48

Step-by-step explanation:

Multiply the radius by 2 to get the circumference. Then multiply by pie, 3.14

Answer:

100.48

Step-by-step explanation:

circumference=3.14 times 16 squared(which means you just do 16 times 16)

256 times 3.14 and you get 100.48

PLEASE SHOW THE PROBLEM WE CANT SEE

Answer:

＋10 on both sides so

X+10-(10)>14-(10)

x>4

Answer:

x > 24

Step-by-step explanation:

Alright so! Add 10 to both sides and you'lll get your answer!

Answer:

2x + 6 = 45

Step-by-step explanation:

2x + 6 = 96

96 - 6 = 90

90 divided by 2x

= 45

hope this helps :)

Answer:

solution given:

2x+6=96 [vertically opposite angle]

2x=96-6

x=90/2=45°

x=45°

Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

Answer:

can you show more?

Step-by-step explanation:

Answer:

72 rods

Step-by-step explanation:

First, find the volume of each rod, using the formula V = [tex]\pi[/tex]r²h

Plug in pi, the radius, and height, and solve:

V = [tex]\pi[/tex]r²h

V = (3.14)(2²)(60)

V = (3.14)(4)(60)

V = 753.6

So, each rod has 753.6 cm³ of steel.

Divide 54,259.2 by this to find how many rods it will make:

54,259.2 / 753.6

= 72

So, it will make 72 rods.

Answer:

OD

Step-by-step explanation:

Answer:

It's OD

p explanation:

Answer:

3) 2p - 4

1) 8 - d

2) (d + 9) - 6

3) 1/2(x + s)

Answer:

A, f = 4

Step-by-step explanation:

f + 8 ≤ 12

-8       -8

f ≤ 4

Answer:

The answer is 4

Step-by-step explanation:

this is because the line under the greater than symbol can also mean equal since it has a line under it 8 + 4 = 12 = 12

Answer:

9 and 2: 1

10 and 4: 2

Step-by-step explanation:

9: 1, 3, 9

2: 1, 2

Answer: 1

10: 1, 2, 5, 10

4: 1, 2, 4

Answer: 2