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And please put in the full explanation on how you solved it please.

Answer:

x=15 inches

Step-by-step explanation:

Area of ∆ is 27sq inches

Height is 4.5 inches

base is (x-3) inches

Area of ∆= ½×b×h

27= ½×(x-3)×4.5

27=2.25×(x-3)

27=2.25x-6.75

2.25x=27+6.75

2.25x=33.75

x=33.75/2.25

x=15 inches

Answer:

(4x+5)=57 (2x+7)=33

Step-by-step explanation:

So, if a complementary angle is 90, our equation is (4x+5)+(2x+7)=90, and we get 13, so x=13, and we put that into our equation, so our first equation is now

Our first solution is (4(13)+5), which equals 57, and our second model is (2(13)+7), which equals 33, hence the angles' degrees are 57 and 33.

True:

   Area of trapezoid = [tex]\frac{1}{2}(b1 + b2) * h[/tex]

Hope that helps!

[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]

[tex]\sf are a \ of \ rectangle : Length * Width[/tex]

total area :

[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]

[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]

[tex]\rightarrow \sf 132.5 \ in^2[/tex]

Answer:

D

Step-by-step explanation:

the Fundamental rule of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.

thus for the given cubic function of degree 3 there will be 3 zeros

the graph indicates a zero at x = 4 which is real

thus there will be 2 complex zeros.

that is the cubic function has 1 real zero and 2 complex zeros

Answer:

h   ≥  -432

Step-by-step explanation:

h/-24<=18

Multiply though by -24:

h  ≥  -24*18

h   ≥  -432  

Note: the inequality signs flips as we are multiplying both sides by a negative value.

Answer:

I think the answer will be - 159

Because the number with similar sign are always added

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

25 people

Step-by-step explanation:

So, you're trying to find how many she needs to invite since only 92% show up. With this problem, you need to figure out 92% of what number is 23. An equation for this is:

92/100 = 23/x

1. Cross multiply to get 92x=2300

2. Divide both sides to get x by itself. You should get x= 25

3. So, she should invite 25 people

Answer:

123 this is a good idea to make sure you have the best time ever.

Answer:

Area = 201.1

Cicumference = 50.27

Your answers are correct

Step-by-step explanation:

A = Area = ?

C = Circumference = ?

SInce both the "Area" and "Circumference" are unknown, we use the formula:

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi { d }^{ 2 }}[/tex]

Remember that:

The diameter is the length of the line through the center

and

The radius is half the diameter

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi {( 16) }^{ 2 }}[/tex]

Calculate 16 to the power of 2 and get 256

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi \times 256}[/tex]

Multiply [tex]\frac{1}{4}[/tex] and 256 to get  [tex]\frac{256}{4}[/tex]

[tex]\mathrm{A = \dfrac{ 256 }{ 4 } \pi}[/tex]

Divide 256 by 4 to get 64

[tex]\mathrm{A=64\pi }[/tex]

Multiply 64 and π to get 201.06192983

[tex]\mathrm{A=201.06192983}[/tex]

Round to the nearest tenth and get 201.1

[tex]\mathrm{A=201.1}[/tex]

Next we need to find the "Circumference"

Formula for finding circumference is:

C = πd

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

C = π(16)

Multiply 16 and π to get 50.265482457

C = 50.265482457

Round to the nearest hundreth and get 50.27

C = 50.27

So, your answers are correct.

The only mistake that could happen is whether you need to round to the nearest hundreth or tenth.

Answer:

a

Step-by-step explanation:

7(g-9)+12=26

7(g-9)+12-12=26-12

7(g-9)=14

7(g-9)/7=14/7

g-9=2

g-9+9=2+9

g=11

Answer:

Step-by-step explanation:

26=7(g-9)+12

(take 12 to 26)

so it will be 7(g-9)= 26-12

=> 7(g-9)= 14

(then take 7 to 14)

=> g-9= 14/2

=> g-9= 2

(then take 9 to 2)

g= 2 + 9

hope it is properly explained

STAY SAFE, HAVE A NICE DAY

Answer:

B

Step-by-step explanation:

Answer:

7 is first

2 is second

7.3 is third

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the horizontal leg = 7 units

the vertical leg = 2

using Pythagoras' identity to find the distance d

d = [tex]\sqrt{7^2+2^2}[/tex] = [tex]\sqrt{49+4}[/tex] = [tex]\sqrt{53}[/tex] ≈ 7.3 ( to 1 dec. place )

Answer:

26 units

Step-by-step explanation:

Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given

Substitute the given values into the formula and solve for c:

[tex]\sf \implies 10^2+24^2=c^2[/tex]

[tex]\sf \implies c^2=676[/tex]

[tex]\sf \implies c=\pm\sqrt{676}[/tex]

[tex]\sf \implies c=\pm26[/tex]

Since length is positive, c = 26 only

Answer:

26 units

Step-by-step explanation:

To find the missing side length, we need to use Pythagoras theorem, as this triangle is a right triangle.

Formula: h² = x² + y²                                       [h = hypotenuse, x and y = legs]

Legs: 10 units and 24 units                                              (Stated in comments)

Finding the third side of the triangle (h):

⇒ h² = 10² + 24²

Simplify the LHS:

⇒ h² = 100 + 576

⇒ h² = 676

Take a square root both sides:

⇒ √h² = √676

⇒ h = ±26

⇒ h = 26                                                 (Side lengths can never be negative)

Thus, the length of the third side is 26 units.

Refer to the attachment for your answer, just remember the fact that as x is an integer in 2nd question and x > 3.66... so x's smallest value will just be 4, and in 1st question you can use the number line for a better understanding

Answer:

1.) you're going to subtract 4 from 46

46-4= 42

7x=42

Then you divide 7 from 42 and get 6..........x=6

2.) you're going to do the same thing for this one

17-9=8

4x=8

8÷4=2

x=2

3.) you're going to do the same thing

1-1=0

2x=0

0÷2=0

x=0

Step-by-step explanation:

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Answer: 60 times 4 = 240 or 60 time 4 square is 960

Step-by-step explanation:

Answer:

She needs to buy at least 9 sets of forks to have enough

The number of sets of forks Evelyn should buy is 9 if Evelyn needs to order some new supplies for the restaurant where she works.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Evelyn needs to order some new supplies for the restaurant where she works. the restaurant needs at least 309 forks. there are currently 226 forks.

Let x be the minimum number of sets of forks Evelyn should buy.

The value of x can be found as follows:

x = (309 - 226)/10

x = 83/10

x = 8.3 = 9 (because the restaurant needs at least 309 forks)

Thus, the number of sets of forks Evelyn should buy is 9 if Evelyn needs to order some new supplies for the restaurant where she works.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

18pi

Step-by-step explanation:

Circumference = 2 Pi R

c = 2 x 9 x Pi

c = 18Pi

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can split this into 20 triangles, each with an angle sum of 180 degrees.

So 180(20) = 3600 degrees.

Answer:

g ≤ 4

Step-by-step explanation:

4g - 5 ≤ 11

Add 5 on both sides,

4g ≤ 11 + 5

4g ≤ 16

Divide 4 on both sides,

g ≤ 4

Answer:

2n= 53

and you divide both sides by 2

2n/2 =53/2

2 divided by 2 is 1 and 53 divided 2 is 26.5

n= 26.5

Answer:

11

Step-by-step explanation:

Answer:

k = 11

Step-by-step explanation:

4k + 39 = 7k + 6 ( subtract 7k from both sides )

- 3k + 39 = 6 ( subtract 39 from both sides )

- 3k = - 33 ( divide both sides by - 3 )

k = 11

Answer:

2130 per month

Step-by-step explanation:

25,560 / 12

2130

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve, using Trigonometry ~

[tex]\qquad \sf  \dashrightarrow \: \tan(x) = \frac{54}{72} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \tan(x) = \frac{3}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \tan { }^{ - 1} ( \frac{3}{4} ) [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 37 \degree[/tex]

Answer:

[tex]\displaystyle 36,9[/tex]

Step-by-step explanation:

[tex]\displaystyle 1\frac{1}{3} = cot\:x \hookrightarrow cot^{-1}\:1\frac{1}{3} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x[/tex]

OR

[tex]\displaystyle \frac{3}{4} = tan\:x \hookrightarrow tan^{-1}\:\frac{3}{4} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Answer: $212.52

Step-by-step explanation:

first we have to find the right equation for the problem. a "pen" is an enclosure for animals that is fenced in, meaning we have to find how much fencing we need.

the question gives us two values, 8 meters wide and 13 meters long. we can infer that this "pen" is in the shape of a rectangle meaning two sides will be 8 meters wide and the two others sides are 13 meters long.

this means we will be finding the perimeter of the pen, which is all the sides of a shape added together. for a rectangle the perimeter you use (lenght+width) *2.

when we add the given values we have (8+13)*2 → 21*2 → 42. we need 42 meters of fencing to complete the "pen."

since each meter of fencing is worth $5.06, we multiply the amount of fencing me need by the cost. 5.06*42= 212.52.

this means the farmer will need to spend $212.52 in order to make his goat pen with a perimeter of 42 meters.