Cruz's Frame Shop makes a mat by removing out the inside of a rectangular mat board. Use the measurements from the diagram to find the area of the mat for the frame. (area of the shaded region). Do not use units

Answer:

34 is the right answer I have already done it

Answer: z = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

To find z, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

[tex]\frac{a}{x} =\frac{x}{b}[/tex]

You can use 5 as a and 2 as b to complete the proportion:

[tex]\frac{5}{x} =\frac{x}{2}[/tex]

Next, to solve:

Step 1: Cross-multiply.

[tex]\frac{5}{z} =\frac{z}{2}[/tex]

(5)*(2) = z*z

10 = z²

Step 2: Take square root.

10 = z²

√10 = z

I hope this helps!

The polynomial  [tex]3x^5 + 7x^6 + 11x^7 - 12x - 10[/tex] is in standard form if the exponents are arranged in decreasing order.

Polynomial is an algebraic expression with one or more terms. For example :[tex]2x^3+6x^4+x^2+x+2[/tex]. In this example and in your exercise the exponents of the terms are not arranged in order.

Um polynomial is in Standard Form when the exponents of the terms are in decreasing order. See more details below.

[tex]2x^3+6x^4+x^2+x+2[/tex]is not in standard form because the exponents are not written in decreasing order.

[tex]6x^4+2x^3++x^2+x+2[/tex] is in standard form because the exponents are written in decreasing order.

Therefore, the given polynomial will be in standard form if yours exponents are arranged in decreasing order.

Read more about polynomials here:

https://brainly.com/question/4142886

Answer:

2,3,4

Step-by-step explanation: i just got that answer

The Answers are 2,3, and 4.

2. There will be two solutions.

3. The solution to –(y + 6) = 2 will be also be a solution to the given absolute value equation.

4. The solution(s) will be the number(s) on the number line 2 units away from –6.

Answer:

When l = 4m , breadth is 8m

When l = 8m , breadth is 4m .

Step-by-step explanation:

Here it is given that the area of a rectangular patch is 32m² . If we assume length to be l and breadth to be b , then ;

[tex]\longrightarrow Area_{rectangle}=length\times breadth\\ [/tex]

[tex]\longrightarrow 32m^2 = lb \dots (i) [/tex]

Again , it's given that the perimeter is 24m .We know that perimeter of a rectangle is ,

[tex]\longrightarrow Perimeter = 2(l+b)\\ [/tex]

[tex]\longrightarrow 24 = 2( l +b)\\ [/tex]

[tex]\longrightarrow l + b = 12\dots (ii) [/tex]

From equation (i) and (ii) , we have ;

[tex]\longrightarrow l + \dfrac{32}{l}=12\\\\\longrightarrow \dfrac{l^2+32}{12}=1\\\\\longrightarrow l^2+32=12l \\\\\longrightarrow l^2-12l +32=0\\\\\longrightarrow l^2-4l -8l +32=0 \\\\\longrightarrow l( l -4) -8(l-4)=0\\\\\longrightarrow(l-4)(l-8)=0 \\\\\longrightarrow \underline{\underline{ l = 4,8}} [/tex]

Therefore , we can find breadth as,

[tex]\longrightarrow l + b =12\\\\\longrightarrow b = 12 - l \\\\\longrightarrow b = 12-8, 12-4\\\\\longrightarrow \underline{\underline{b = 4,8}}[/tex]

Answer: f(x) = 3x^(2)-2x+1

f(x) = 3x^(2)-2x+1 = y-intercept (0, 1).

g(x) = -10x^(2)+50x = y-intercept (0, 0).

As we see, the first equation (f(x) = 3x^(2)-2x+1) has a y-intercept of (0, 1), while the other equation (g(x) = -10x^(2)+50x) has a y-intercept of (0, 0). This means that the quadratic equation that has the greatest y-intercept is f(x) = 3x^(2)-2x+1, which is (0, 1).

Step-by-step explanation:

Hope this helps =)

Answer:

Your answer is A/B.

Because TanA =P/B

Answer:

144 square feet

Step-by-step explanation:

First. the base is 6 by 6, meaning the surface area of it is 36 square feet. Then, we do a single triangle, whose area is (6*9)/2, or 27. 27*4 is 108, so the answer will be 108+36=144.

Answer is: 144 square feet

Have a great day! :)

Answer:

7.95775

Step-by-step explanation:

volume = pi*r^2*h

Using the formula

V=πr2h

Solving for h

h=V/πr2

=100/π·2^2≈7.95775

Answer:

B

Step-by-step explanation:

Answer:

y =3

......

.....

....

.....

Answer:

b

b because 30% off of 39.98 is 27.98 and if u do 39.98 minus 11.99 it is 27.99

Answer: A=hbb2

Step-by-step explanation: For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.

Answer:

less than 5%

Step-by-step explanation:

In the USA less than 5% of children under the age of 11 study a language other than English at school

Hopefully this helped- have a good day)

Answer:

The number is 1.2 and the algebraic equation is 10x=12

Step-by-step explanation:

Since the product of a number and ten is 12, we can express it as the algebraic equation x*10=12, where x is any number.

x*10=12

10x=12

x=12/10

x=1.2

Therefore, The number is 1.2

Answer:

{H1, T1, H2, T2, H3, T3, H4, T4, H5, T5}

Step-by-step explanation:

You can only have a tail or head with the numbers 1 to 5. Since, there's one coin tossed.

Hope this helps!

Answer:

The answer is the 2nd option! {H1, T1, H2, T2, H4, T4, H5, T5}

Para estudiantes de Español:

La respuesta es la opción número 2! {H1, T1, H2, T2, H4, T4, H5, T5}

Step-by-step explanation:

This is correct!

Este es correcta!

Answer:

I got u x= 29.    ( Your welcome )

Step-by-step explanation:

3x+15 +2x+20=180  because a line is 180 duhh

we collect like terms and we get

5x +35=180 we decrease in both sides by 35

5x=145

x=145/5

x=29

Answer: -1,-1 + -2,-1

Step-by-step explanation:

You first take the verticle line and then the horizontal line and then you add point be by point A so basically its supposed to be -1+(-1)+(-1)+(-2) if I'm right.

Answer:

11 is the answer.

Step-by-step explanation:

11 and 23 are the answers.

Step-by-step explanation:

Multiple of 2 increase 1 =

[tex]3,5,7,9,11,13,15,17...[/tex]

Multiple of 3 increase 2 =

[tex]5,8,11,14,17...[/tex]

Multiple of 4 increase 3 =

[tex]7,11,15,19...[/tex]

Here, we can see the smallest number is 11

There are more numbers having this property such as 23.

[tex]23 \div 2 = 11...1[/tex]

[tex]23 \div 3 = 7...2[/tex]

[tex]23 \div 4 = 5...3[/tex]

Answer:

4^3 x 5^2

Step-by-step explanation:

Answer: How to Find the Distance between Two Points on a Graph

1

Take the coordinates of two points you want to find the distance between.

2

Know the distance formula. This formula finds the length of a line that stretches between two...

3

Find the horizontal and vertical distance between the points.

4

Square both values. This means that you will square the x-axis distance (x2 - x1).

Step-by-step explanation:

Answer:

y=1/2x+2

Step-by-step explanation:

The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.

To find the gradient is a little more tricky, but we can follow the formula:

[tex]\frac{rise}{run}[/tex], where rise is the vertical value and run is the horizontal value

So we sub in our values:

[tex]\frac{2}{4}[/tex]

And simplify:

[tex]\frac{1}{2}[/tex]

So now we sub in our new found values into y=mx+c:

y=1/2x+2

Answer: y = x/2 + 2 which is the 4th option from the top

Step-by-step explanation:

First find the slope which is (0-2)/(-4-0) = 2/4 = 1/2

So it's y = x/2 + c

Substituing (-4,0) into the equation we get

0 = -4/2 + c

0 = c-2

c = 2

So the equation is y = x/2 + 2 which is the 4th option from the top

Answer

rathan is incorrect

Step-by-step explanation:

Factors of an even number are not always even. Even numbers don't have to HAVE  even factors  they just have to be divisible by 2

Answer:

Domain:

(− ∞, ∞ )

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Answer:

40/10  [4 meters/sec]

Step-by-step explanation:

Watch for what the units are telling us.  The number that is being requested  

is speed in units of meters/sec.  We are given 40 meters and 10 seconds.  If we divide 40 meters by 10 seconds (10 meters/10 seconds), we get 4 meters/sec, the correct dimension.