What is the length of DE?

A. 5
B. 7
C. 6
D. 8

Area of larger :- length× width

[tex]27 \times 36 = 972 {in}^{2} [/tex]

Area of the smaller screen= 40% of larger area

[tex] area = \frac{40}{100} \times 972 \\ area = \frac{4 \times 972}{10} \\ area = \frac{3888}{10 } = 388.8 {in}^{2} [/tex]

Answer:

the correlation  coefficients is a statistical calculation

that used to examine the relationships between two sets of data.

Step-by-step explanation    Hope this helps :)

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]

Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]

Rewrite 16 as 4²:

[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]

Apply exponent rule [tex]\sqrt{a^2}=a[/tex]

[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]

Answer:

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

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{32}[/tex]

= [tex]\sqrt{16(2)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]

= 4[tex]\sqrt{2}[/tex]

Answer:

[tex]25 \: or \: {5}^{2} [/tex]

Step-by-step explanation:

Simplify It

[tex]20 + 2 + 3[/tex]

Then calculate it.

[tex]20 + 2 + 3 = 25[/tex]

Answer:

25

Step-by-step explanation:

Given:

20+(5 × 2/5 )+ 3

Solve:

Using the PEMDAS

Which is:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

Thus we have:

20+(5 × 2/5 )+ 3                               {5 × 2/5 = 2}

= 20 + 2 + 3

= 22 + 3

= 25

Kavinsky

Answer:

25%

Step-by-step explanation:

i have a feeling

Answer: 500%

Step-by-step explanation: 300/60 = 5

5 = 500%

To check work:

60*5 = 300

Answer:

a=4

Step-by-step explanation:

what minus 4=8? its 12. 12-4=8 so

what times 3 is 12? 4.

3*4=12

12-4=8

a=4

Answer:

14014

Step-by-step explanation:

base of stone pyramid=154

height=91

b×h

154×91=4014

Step-by-step explanation:

a trapezoid.

the 2 sides on the left and the right are equal (congruent), and so are the diagonals.

but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).

Answer:

-1/2 = x
OR
-0.5 = x

Step-by-step explanation:

1) Isolate x from the equation by making it equal to zero
(Reminder that everything crossing over to the other side of the equation changes it's symbols from positive to negative, and vice-versa is the original symbol was negative)

-7 + 13 + 8x - 2 = 0
-7 + 13 - 2 = -8x

2) Add up common terms on the left side

-9 + 13 = -8x
4 = -8x

3) Divide the entire equation by the number that would leave "x" by itself the factor or number that leaves the number by itself is negative eight since its the number with the equation (-8)

4/-8 = -8x/-8
-1/2 = x
OR
-0.5 = x

Hope this helps :)
Also, if you can is it ok if you can give me brainliest on this?

The measure of each angle and their reasoning are explained for all in the explanation below.

We are given that;

m∠8=23°

a). From the given image, we see that;

m∠1 and m∠8 are supplementary angles and as such they sum up to 180°;

Thus; m∠1 + m∠8 = 180°

m∠1 = 180° - m∠8

m∠1  = 180 - 23

m∠1  = 157°

b). We see that m∠1  and m∠2 are angles that form a straight line.

Sum of angles on a straight line equals 180°. Thus;

m∠1 + m∠2 = 180°

m∠2 = 180 - 157

m∠2 = 23°

c). We see that m∠3 and m∠1 are vertically opposite angles and they must be equal. Thus

m∠3 = m∠1

Thus; m∠3 = 153°

d). We see that m∠4 and m∠2 are vertically opposite angles and they must be equal. Thus

m∠4 = m∠2

Thus; m∠4 = 23°

e). We see that m∠5  and m∠1 are corresponding angles and are therefore equal. Thus;

m∠5 = m∠1

m∠5 = 157°

f). We see that m∠6 and m∠8 are vertically opposite angles and as such;

m∠6 = m∠8

Thus, m∠6 = 23°

g). We see that m∠7 and m∠5 are vertically opposite angles and are therefore equal. Thus;

m∠5 = m∠7

m∠5 = 157°

Answer:

Below in bold.

Step-by-step explanation:

a = 16, b = 19 and c = 14.

By the Cosine Rule:

cos A = (a^2 - b^2 - c^2) / -2bc, so:

cos A  = ( 16^2  - 19^2 - 14^2) / (-2*19*14)

             =   -301 / - 532

             =  0.565789

m < A = 55.54 degrees.

Now Using the Sine Rule:

a / sin A = b / sin B

16 / sin 55.54 = 19/sin B

sin B = 19 * sin 55.54 / 16

         = 15.666 / 16

         = 0.979125

m < B = 78.27 degrees.

Finally

m < C = 180 - 55.54 - 78.27 = 46.19 degrees.

Answer:

[tex]x = 1.48 \: and \: y = - 1.38[/tex]

Step-by-step explanation:

[tex]first \: equation[/tex]

[tex]x - 4y = 7[/tex]

[tex]second \: equation[/tex]

[tex]5x + y = 6[/tex]

[tex]from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y[/tex]

[tex]x =7 + 4y \: {equation \: 3}[/tex]

[tex]substitutefor \: x \: in \: equation \: 2[/tex]

[tex]5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ [/tex]

[tex]y = \frac{ - 29}{21} [/tex]

[tex]y = - 1.38[/tex]

[tex]subsitute \: for \: y \: into \: equation \: 3[/tex]

[tex]x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48[/tex]

The number of the combinations of 3 scoops of ice cream can Laura choose will be 20.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Laura wants 3 scoops of ice cream.

She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors.

Then the number of the combinations of 3 scoops of ice cream can Laura choose will be given as

→ ⁿCₐ

The total number of the flavor will be

n = 6

Then the number of the chosen flavor will be

a = 3

Then we have

→ ⁶C₃

→ 20

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The products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.

The products of powers formula is used to find the product of two exponent numbers.

The products of powers formula when multiplying a number having exponents can be given as,

[tex]a^m\times a^n=a^{(m+n)}[/tex]

Here, (a,m and n) are the number real numbers. In this formula, m and n is the power of the common number a.

Hence, the products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.

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Expression: 5z² - 2z + 1 = 0

Discriminant formula: b²- 4ac

Identify: a = 5, b = -2, c = 1

Solve for discriminant: (-2)²- 4(5)(1) = 4 - 20 = -16

p = 1 also can be rewritten as 2nd equation: 0m + 1p = 1

Build Augment Matrices by taking coefficient's:

[tex]\left[\begin{array}{ccc}1&-1&|| \ \ 2\\0&1&|| \ \ 1\end{array}\right][/tex]

Solve:

Add row 2 to row 1 : R₁ = R₁ + R₂ and restore it back

[tex]\rightarrow \ \left[\begin{array}{ccc}1+0&-1+1& \ \ \ \ || \ 2+1\\0&1&|| \ \ 1\end{array}\right][/tex]

[tex]\rightarrow \ \left[\begin{array}{ccc}1&0& || \ \ 3\\0&1&|| \ \ 1\end{array}\right] \ \ \ = The \quad reduced \quad matrix[/tex]

Solution = (m, p) = (3, 1)

Answer:

14.  -16

15.  m = 3  and  p = 1

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\quad ax^2+bx+c=0[/tex]

Given equation:   [tex]5z^2-2z+1=0[/tex]

Therefore:

Substituting the values into the discriminant:

[tex]\begin{aligned}\implies b^2-4ac & = (-2)^2-4(5)(1)\\& = 4-20\\& = -16\end{aligned}[/tex]

As the discriminant is negative, this implies there are no real roots.

Augmented Matrices

[tex]\begin{array}{c}ax+by=p \\cx+dy=q\end{array} \implies \left[\begin{array}{r r | r}a & b & p \\ c & d & q\end{array}\right][/tex]    

Use elementary row operations to convert into:

[tex]\left[\begin{array}{r r | r}1 & 0 & h \\ 0 & 1 & k\end{array}\right] \implies \begin{array}{r}x=h\\y=k\end{array}[/tex]

Given:

[tex]\begin{aligned}m-p & =2\\ p & = 1\end{aligned} \implies \left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right][/tex]

[tex]\left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right] \begin{array}{c}R_1 + R_2 \rightarrow R_1 \\\rightarrow\end{array} \left[\begin{array}{r r | r}1 & 0 & 3 \\ 0 & 1 & 1\end{array}\right][/tex]

Therefore:  

[tex]m=3[/tex]

[tex]p=1[/tex]

Answer:

x=13

Step-by-step explanation:

Answer:

19 %

Step-by-step explanation:

589 is what percetage of 3100?

589 / 3100  * 100 % = 19%

Answer:

19%

Step-by-step explanation:

589 = x% of 3100?

589 / 3100  * x/100= 19%

Hopefully this helped you, and have a good day!

The quadratic expression cannot be factorized, because the discriminant is less than 0

The expression is given as:

x²+12x+180

Calculate the discriminant of the expresison using:

D = B² - 4AC

So, we have:

D = 12² - 4* 1 * 180

Evaluate

D = -576

Because the discriminant is less than 0, then the expression cannot be factorized

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Answer:

Step-by-step explanation:

SA/Surface area of  cylinder=2πrh+2πr^2

SA=2xπx16x27 + 2xπx16^2

SA=864π + 512π

SA=1376π

      OR

SA=4322.83 to 2.d.p

Answer:

46.7

Step-by-step explanation:

Sp-Cp

$44-$30=$14

14/Cp x 100

= 14/30 x 100=46.66%

Ans= 46.7%

Proof

% x CP

46.66/100 x $30= $13.998

$13.998= SP-CP

Hope it helps

Jim's got profit percentage is 46.67%

Profit percentage is refer to "the amount of profit that has been incurred in terms of  percentage".

According to the question,

Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.

In order to find profit percentage we have to use formula.

Profit percentage = [tex]\frac{selling price - cost price }{cost price}[/tex] × 100

= [tex]\frac{(44-30)}{30}[/tex] × 100

= [tex]\frac{14}{30}[/tex] × 100  

= 46.6667%  ≈ 47%

Hence, Jim's got profit percentage is 46.67%.

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Answer:

x= -4/3

Step-by-step explanation:

Steps

7x +8 = 4X + 4

Subtract 8 from both sides

7x+ 8-8= 4x + 4-8

Simplify

7x=4x-4

Subtract 4x from both sides

7x-4x=4x-4-4x

Simplify

3X = -4

Divide both sides by 3

3X/3 = -4/3

Simplify

x= -4/3

Answer:

Step-by-step explanation:

Solution

7x+8=4x+4                          Subtract 4x from both sides

7x - 4x + 8 = 4                     Combine

3x + 8 = 4                            Subtract 8 from both sides

3x + 8 - 8 = 4 - 8                 Combine

3x = - 4                                Divide by 3

3x/3 = -4/3  

Answer: x = -4/3

Answer:

18 region

Step-by-step explanation:

step 1. 11+11+1=23

step 2. 23-41= -18 region

Answer:

yes it represents it because the linear equation

Answer:

[tex]\pi * 9[/tex] or 28.28

Step-by-step explanation:

With the equation of [tex]A = \pi * r^2[/tex], We find that the r - (radius) = 3, so it would be [tex]\pi *3^2\\[/tex] or [tex]\pi * 9[/tex]

Hope This Helps!

Answer:

  h(j+1) = 4j² +11j +5

Step-by-step explanation:

A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.

__

For function ...

  h(x) = 4x² +3x -2

The value of h(j+1) is ...

  [tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]