the perimeter of an isosceles triangle is 45 inches. 2 sides of the triangle are congruent and the third side is twice as long as the sum of the congruent sides. what is the length of the third side of the triangle in inches

Answer:

Step-by-step explanation:

Answer A represents an exponential equation; see below for a demo.

In Answer A we have (1, 3), (2, 3²), (3,3³)

Answer:

The study, The Nature of Americans National Report, found that more than half of adults reported spending five hours or less in nature each week, and being satisfied with this small amount of time spent outdoors.

Step-by-step explanation:

The margin of error in the report is 2.39.

The margin of error is a statistic that describes how much random sampling error there is in survey data.

Given that, the upper interval is 24.96 and the lower interval is 20.18.

The margin of error is half of the difference between the upper and the lower interval.

Therefore, the margin of error is:

Margin of error = (24.96 - 20.18)/2

                        = 4.78/2

                        = 2.39

Hence, the margin of error in the report is 2.39.

Learn more about the margin of error:

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40.

60 - 20 = 40.

Very simple.

The volume of 3 of shipping containers 267.75 cubic yards.

We need to find the volume of one shipping container and then multiply it by 3 to find the volume of three shipping containers.
Find the volume of one shipping container.
Volume = Base Area × Height
Volume = 25.5 square yards × 3.5 yards
Calculate the volume.
Volume = 89.25 cubic yards
Find the volume of three shipping containers.
Total Volume = Volume × Number of Containers
Total Volume = 89.25 cubic yards × 3
Calculate the total volume.
Total Volume = 267.75 cubic yards.

For similar question on volume.

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if its diameter is 6, then its radius is half that or 3.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi[/tex]

Answer:

∠ ABC = 60°

Step-by-step explanation:

the measure of an inscribed angle is hal the measure of its intercepted arc.

∠ ABC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 120° = 60°

Answer:

Step-by-step explanation:

The measure of the inscribed angle is half the measure of intercepted angle.

∠ABC  [tex]= \dfrac{1}{2} * 120\\[/tex]

            = 60°

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}[/tex]

Multiply through the second term by [tex]1+\sin(t)[/tex] :

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}\cdot\dfrac{1+\sin(t)}{1+\sin(t)}[/tex]

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{1-\sin^2(t)}[/tex]

Recall that [tex]\cos^2(x)+\sin^2(x)=1[/tex] for all x :

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{\cos^2(t)}[/tex]

If [tex]\cos(t)\neq0[/tex], we can cancel a factor of it in the second fraction.

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{1+\sin(t)}{\cos(t)}[/tex]

and this simplifies to

[tex]\dfrac{(1+\sin(t))-(1+\sin(t))}{\cos(t)} = \boxed{0}[/tex]

Answer:

  f(x) = (x +3)(x +1)(x -2)

Step-by-step explanation:

When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.

__

The three zeros give rise to a polynomial with three factors:

  f(x) = (x -(-3)) · (x -(-1)) · (x -2)

  f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function

__

This can be expanded using the distributive property.

  f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6

  f(x) = x³ +2x² -5x -6 . . . . . standard form

Answer:

11.5

Step-by-step explanation:

10 + a / 4    if a = 6

10 + 6 / 4

10 + 1.5

11.5

I hope this helps! Have a lovely day!! :)

Answer:

23/2 or 11.5

Step-by-step explanation:

Simplify 6/4 --> 3/2

Convert 10 into a fraction --> 20/2

20/2 + 3/2 = 23/2

Answer:

x = 28

Step-by-step explanation:

4x-16 = 2(x+20)

4x-16 = 2x+40

Divide 2x from each side:

2x-16 = 40

Add 16 to each side:

2x = 56

Divide each side by 2:

x = 28

Answer: 338 boys

1) Formulate an equation

The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.

2) Isolate the variable

Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.

3) Plug the variable

Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.

Answer:

67°

Step-by-step explanation:

Ignore the 2500m for now.

To find angle x, we know that the sum of the degrees in a triangle is 180. We see that under the 2500m there is a square, indicating that the angle is 90 degrees.
So we can do 180-23-90 = 67.

Therefore, the angle measure of ∠x is 67°

Answer:

y=51, z and x= 129

Step-by-step explanation:

its complicated, but try to think of it as 51 and x/z are complementary angles, meaining they are on the same line, which means they equal 180, which makes this easier to solve meaning all you have to do is subtract 180-51=129.

Answer:

Male

Step-by-step explanation:

There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!

Answer:

They are not equivalent.

Step-by-step explanation:

5(3a+2)=15a+10

15a+10≠15a+2

Answer:

not equivalent.

Step-by-step explanation:

5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.

15a+10≠15a+2

if you wanted to go further, since 15a is equivalent, just take it out.

10≠2

Answer:

B

Step-by-step explanation:

First, we find the equivalent decimal numbers:

-1.75 = -1.75

-7/10 = -0.7

-1 5/7 = -1.7142...

-0.07 = -0.07

Descending order of the equivalent decimal numbers:

-0.07, -0.7, -1.7142..., -1.75

Now we replace the equivalent decimal numbers with the original numbers.

-0.07, -7/10, -1 5/7, - 1.75

Answer: B

Answer:

-4

Step-by-step explanation:

<symbol means squared or increase and so does ( )

Step-by-step explanation:

plot the points

0,0

1,3

2,6

3,9

if anything else is needed inform me.

Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:

[tex]v_1 + v_2 = \frac{64}{4}[/tex]

[tex]v_1 + v_2 = 16[/tex]

[tex]v_1 = 16 - v_2[/tex]

In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:

[tex]v_1 - v_2 = \frac{64}{16}[/tex]

[tex]v_1 - v_2 = 4[/tex]

Since [tex]v_1 = 16 - v_2[/tex]:

[tex]16 - v_2 - v_2 = 4[/tex]

2v2 = 12.

v2 = 6.

v1 = 16 - 6 = 10 km/h.

Hence:

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

Answer:

Step-by-step explanation:

Below statements include the required information or property

Answer:

Make 2 rectangles and find perimeter and then divide by 2.

Step-by-step explanation:

Hope that helps.

Answer:

  $104.49

Step-by-step explanation:

The future value of the account is given by the formula ...

  FV = P(1 +r)^t

The interest earned is the difference between that future value and the original amount deposited.

  I = FV -P

__

For the given investment, rate, and time, we find the interest to be ...

  I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49

Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.

Answer:

27

Step-by-step explanation:

a+b=7; a-b=3

Add the two equations together

a+b=7

a-b=3

----------------

2a + 0b = 10

2a = 10

Divide by 2

2a/2 = 10/2

a = 5

a+b = 7

5+b = 7

b = 7-5

b = 2

3^a / 3^b = 3^(a-b) = 3^(5-2) = 3^3 = 27

Answer:

There are 14 dimes and 17 nickels.

Step-by-step explanation:

Let x be number of nickels and let y be number of dimes.

Given that the total is $2.25 and there are 31 coins, we know that:

[tex]0.05x +0.10y = 2.25[/tex]

[tex]x+y = 31[/tex]

Solving for x yields:

[tex]x=31-y[/tex]

We then proceed by plugging that back into the previous equation:

[tex]0.05(31-y)+0.10y=2.25[/tex]

[tex]1.55 - 0.05y +0.10y = 2.25\\[/tex] --> Distribute

[tex]1.55 +0.05y=2.25[/tex] --> add y's together

[tex]0.05y=0.7[/tex] --> subtract 1.55

[tex]y=14[/tex] --> divide by 0.05

Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.

Answer:

Four lakhs thirty eight thousand five hundred fourty three.

ii)Eight crore ten lakhs one

Follow me friend

Answer:

i)four hundred thirty eight thousand five hundred forty three

ii) eighty million one hundred thousand one

Answer: [tex]cot(x)[/tex]

Step-by-step explanation:

Secant is defined as the inverse of sine. Mathematically:

[tex]secant=\frac{1}{sine}[/tex]

Therefore, rewriting the intial equation, you get:

[tex]sec(x)cos(x)=\frac{cos(x)}{sin(x)}[/tex]

This might seem random, but you should know that tangent is defined as:

[tex]tangent=\frac{sine}{cosine}[/tex]

Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:

[tex]\frac{cos(x)}{sin(x)}=cot(x)[/tex]

A- a+b-c²

=2+(-1-1)^2

=1-1

=0

B-a³-b+c

2^3-(-1+1)

=8+1+1

= 10

C-a-b-c

2-(-1-1)

=2+1-1

=2

Step-by-step explanation:

a = 7

d = 14-7 = 7

s(50) = n/2*[a+(n-1)*d]

         = 50/2*[7+(50-1)*7]

         = 8750