Find the area of the trapezoid by decomposing into two triangles.

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

     = - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

      = - 0.6 (x - 3.5)² + 7.35 + 240

     = - 0.6(x - 3.5)² + 247.35

with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

Answer:

2: add 4

3: 6

5: multiply by 2

6: 7

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

OOPS I MEANT 18 I WASNT PAYING ATTENTION LOL

Step-by-step explanation:

...............................

Answer:

30

Step-by-step explanation:

a right triangle is 90° so

76+(x-6)=90°

-76 -76

(x-6)=24

+6 +6

x=30

Answer:

The answer selected is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

I really don’t know but I think you have to find the hypothenuse first then you can do the rest

Answer:

Step-by-step explanation:

"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.

Answer:

Yes it had two circular bases and a curved lateral surface.

Step-by-step explanation:

Answer:

yes it doesn't

Step-by-step explanation:

hope dis helps

Answer:

(4^2*x7)(x^10.5)

Answer:

4x+7 I believe but it could be wrong

Answer:

x = 60° (Alternate angles)

Step-by-step explanation:

a) x = 60°

b) Reason: Alternate angles

Answer:x=60

Step-by-step explanation: all angles in a triangle add up to 180 degrees, x is the same as the angle next to it, therefore x=60 degrees

Answer:

C 28 cm

Step-by-step explanation:

16 ÷ 8 = 2

14 × 2 = 28 cm

Answer:

The answer is B

Step-by-step explanation:

IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.

Answer:

Acute because all angles are less than 90

Answer:

33π is the answer in terms of pi.

Step-by-step explanation:

Circumference of circle formula is C=πd.

Plug in the given values. We put 33 into d, because d represents diameter, and diameter is twice the radius(16.5), so we multiply 16.5 by 2. So far we have C=(π)(33).

C=(π)(33)=33π

Answer:

Angle J and angle MJK or maybe right angle....

These are the three ways...

Hope it helps

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

Answer:

Please have a look.........

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Geometric Progression.

So, we know that,

GP = a.r^(n-1)

here, a = 4 and r = -2

so we get as,

an = 4.(-2)^n-1

Option B.) is correct

Answer:

if this is factoring i wanna say

x= -7

x= 8

but i could be wrong this is a trick 1

Step-by-step explanation:

Answer:

The answer is given below:

Step-by-step explanation:

The computation of the dimension of the pennant is shown below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

where

x represents the base of the traingle

h represent the height that should be (5x - 10)

Now according to the above formula

420 =  1 ÷ 2 × x × (5x - 10)

840 = x(5x - 10)

840 = 5x^2 - 10x

5x^2 - 10x - 840 = 0

5(x^2 - 2x - 168) = 0

x^2 - 2x - 168 = 0

x^ - 14x + 12x - 168

x (x - 14) + 12(x - 14)

(x + 12) (x - 14)

So, here x = 14

Now height would be

= 5(14) - 10

= 60 inches

Answer:

960

Step-by-step explanation:

Answer:

C) (7.1)^13

Step-by-step explanation:

When you multiply numbers with the same bases but different exponents, the base stays the same, but the exponents get added:

a^x*a^y=a^(x+y)

(7.1)^6*(7.1)^7=(7.1)^(6+7)=(7.1)^13

Therefore, the correct answer is C) (7.1)^13

Answer:

C

Step-by-step explanation:

When multiplying numbers with exponents, you always add the exponents.

7.1^6+7

7.1^13

Hence, C

Hope it helps!

Answer:

Step-by-step explanation:

                 |              1 -H        |       2-H          |       Total

Green       |           170            |          x           |       y      

Purple       |            z              |       284          |       w        

Total         |            430          |          v            |      852      

Correct choice is B

Answer:

D = +/- 12.041 units

Step-by-step explanation:

D =

[tex] \sqrt{} (x2 - x1) {}^{2} + (y2 - y1) {}^{2} [/tex]

[tex] \sqrt{} ( - 5 - 4) {}^{2} + (3 - ( - 5)) {}^{2} [/tex]

[tex] \sqrt{81 + 64} [/tex]

[tex] \sqrt{145} [/tex]

D = +/- 12.041 units

Answer:

b = 77

Step-by-step explanation:

a² + b² = c²

36² + b² = 85²

1296 + b² = 7225

b² = 7225 - 1296

b² = 5929

[tex]\sqrt{b^2} =\sqrt{5929}[/tex]

b = 77