Help! Quick! Find the area of the composite figure

Answer:

a) 16

b) 100

c) 64

d) [tex]\frac{81}{4}[/tex][/tex]

Step-by-step explanation:

Perfect square trinomial:

A perfect square trinomial has the following format:

[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]

a.

x² – 8x

[tex]x^2 - 8x = x^2 - 2ax[/tex]

So 2a = 8, a = 4. Then

[tex]a^2 = 4^2 = 16[/tex]

The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]

b. x2 + 20x +

2a = 20, so a = 10

[tex]a^2 = 10^2 = 100[/tex]

The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]

C.

x² – 16x +

2a = -16, so a = -8.

[tex]a^2 = (-8)^2 = 64[/tex]

The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]

d. x2 + 9x +

[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]

[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]

The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]

Answer:

68% increase and 91% increase

Step-by-step explanation:

220(1+x)=370 --  220(1+rate increase)=370

1+x=1.68

x=.68

220(1+x)=420  (370+50)=420

1+x=1.909

x=.91

Answer:

12

Step-by-step explanation:

First we find how much the ratio is

4:6:1 = 11 which is half of 22

You have to double each in order to get to 22

IJ:JK:KL

4 : 6 : 1 =11

8 : 12 : 2 =22

JK=12

Answer:

Step-by-step explanation:

From the given information:

Let assume:

[tex]\mu_1 =[/tex] population mean for catalyst 1

[tex]\mu_2 =[/tex] population mean for catalyst 2

Then:

Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]

Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]

[tex]\alpha= 0.01[/tex]

By using MINITAB software to compute the 2 sample t-test, we have:

Two-Sample T_Test and CI

Sample    N     Mean     StDev      SE Mean

1               12     94.00      3.00       0.87

2              15      90.00     2.00      0.52

Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]

Estimate of difference: -6.00

99% upper bound for difference: -3.603

T-test of difference: 0  (vs <): T-value = -6.22

P.value = 0.000

DF = 25

Both use Pooled  StDev = 2.4900

From above result

the test statistics = -6.00

p-value = 0.00

Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]

Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.

b) From the MINITAB;

The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:

[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]

the answer to your question is B / the second graph

Answer:

the 2nd one(the steep one thats in the middle of top row)

Step-by-step explanation:

it transformed the function with a vertical stretch of 4

Answer:

This relation is not a function because the x coordinate "2" repeats in more than two functions.

Step-by-step explanation:

Hope it helps :)

Answer: green = 25/100, red = 1/100

Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100

Answer:

it's 1and 3 are the modes

Answer:

it is B

Step-by-step explanation:

Brainliest or

5 stars and 1 heart or both if your realy kind

PS correct me if im wrong on the answer

Answer: If Im correct, Y= 14

Step-by-step explanation:

If X=2

Then 2x would be 2x2

and that equals 4

so then you have y=4+10

and 4+10=14

y=14

Answer:

y = 14

Step-by-step explanation:

y = 2x + 10 , x= 2.

y = 2(2) + 10

= 4 + 10

= 14

Answer:

Do you have an attached picture?

Step-by-step explanation:

Answer:

There's nothing there

Step-by-step explanation:

The value of x is 14 units.

When handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.

We know for angle of 30° the base is 7 and perpendicular is x

then

sin30° = 7/x

      [tex]\frac{1}{2} =\frac{7}{x}[/tex]

       x = 7

hence, the value of x = 14 units

Learn more about Trigonometry values here: https://brainly.com/question/22698523

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Answer:

40.3

Step-by-step explanation:

ratios

Answer:

Step-by-step explanation:

Either memorize these two formulas, or derive them through multiplying r - q by r - q.

(r - q)^2 = r^2 - 2qr + q^2, and

(r + q)^2 = r^2 + 2qr + q^2    This is the square of the binomial (r + q).

Answer:

because it is melted

Step-by-step explanation:

let

body heating on 100c and its average is 50

Answer:no

Step-by-step explanation:shdbdjxbejxidvdkdidbdndjd

Answer:

The answer is 14.

Step-by-step explanation:

Answer:

Ken;

Step-by-step explanation:

Ken grew 4/5 of an inch. 4/5=0.8

Sang grew 3/8 of an inch. 3/8= 0.375

0.8 > 0.375 so Ken grew more.

0.8 - 0.375 = 0.425

So, Ken grew 0.425 more inches than Sang grew. 0.425 is also the same thing as 17/40.

Answer:

4x² + 13x + 3 and 2x² - 3x - 17

Step-by-step explanation:

(a)

f(x) + g(x)

= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms

= 4x² + 13x + 3

(b)

f(x) - g(x)

= 3x² + 5x - 7 - (x² + 8x + 10)

= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms

= 2x² - 3x - 17

Answer:

Yes, it is a function.

Step-by-step explanation:

A function is a relation where each x-value (input value) has exactly one y-value (output value) that is related to it or mapped to it. In order words, in a function, an input value can only have one output value.

Thus, the relation represented by the table of values above is a function because every x-value (input value) has exactly one y-value (output value).

Answer:

z = 28

d = 126

Step-by-step explanation:

20 = z-8

20+8= z-8+8

28 = z

d-21 = 105

d-21+21 = 105+21

d = 126

The value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

We know that the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

So d-21=105

Add 21 on both sides

d=105+21

d=126

and 20=z-8

Add 8 on both sides

20+8=z

28=z

Hence, the value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.

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Answer:

1

Step-by-step explanation:

Answer:

kelly had only 1 piece left

Step-by-step explanation:

she cut it in half she got 2 pieces , when she cut it again in half she got 2 more . she then ate 3 pieces and 1 got left.

total piece= 4

eaten =3

left = 1

Answer:

1/9

Step-by-step explanation:

(-3)^0 = 1

(-3)^2 = 9

so, 1/9

Answer:

2.9

Step-by-step explanation:

3.6 - 0.7 = 2.9

Answer:

2.9 ｡◕‿◕｡ make as brainlest

explain

3.6 - 0.7 =2.9

Answer:3/8

Step-by-step explanation:

Answer:

3*8=24 --------- 35-24=11

Answer:

11

Step-by-step explanation:

The equation is 35 - 3 • 8

To solve it, we can use the order of operations: PEMDAS. (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

Simplify:

35 - 24

11

hope this helps! have a great day!

Answer:

70,110,110

Step-by-step explanation:

angles in a parallelogram=360, opposite angles are equal, so two of the angles measure 70° each, 70+70=140, 360-140= 220, 220÷2= 110