A point in the figure is selected at random. Find the probability that the point will be in the shaded region

Answer:

51

Step-by-step explanation:

Answer:

a) A =( x^2 -4x)/2

b) 16 cm^2

Step-by-step explanation:

Let the base of the triangle be x cm

since it is longer, then the height would be (x-4) cm

Mathematically, the area of a triangle is the product of the base and the height divided by 2

So, we have this as;

A = 1/2(x-4)x

A = x(x-4)/2

A = (x^2 - 4x)/2

A =( x^2 -4x)/2

To find the area, we only need to substitute 8 cm for x

we have this as;

A = (8^2 -4(8))/2

A = (64-32)/2 = 32/2 = 16 cm^2

We will begin by converting the word problem to relatable mathematical expression in the first part, in the second part, we will substitute for x and find the area which is 48cm^2

Given data

Let the height be x cm

and let the base be y cm

Going by the word problem statement "base that is 4cm longer than its height."

y = x+4

a. the polynomial expression for the area of the triangle is

We know that the area of triangle is given as

Area = 1/2*Base*Height

Area = 1/2*(x+4)*x

Area = 1/2*x^2+4x

Simplify

Area = x^2/2 + 2x

b. The Area when the height is 8cm

We will substitute x= 8cm

Area = (8)^2/2 + 2(8)

Area = 64/2 +  16

Area = 32+16

Area = 48 cm^2

Learn more about Triangle here:

https://brainly.com/question/17335144

Answer:

What?

Step-by-step explanation:

Answer: (d)

Step-by-step explanation:

Given

Price  of the stock is given by the function

[tex]P=10e^{km}[/tex]

after 4 months, price increases to $14.60

Insert the value in the function

[tex]\Rightarrow 14.60=10e^{4k}\\\\\Rightarrow 1.46=e^{4k}\\\text{Taking natural log both sides}\\\Rightarrow \ln 1.46=\ln e^{4k}\\\Rightarrow 0.378=4k\\\Rightarrow k=0.0946\approx 0.095\ \text{per month}[/tex]

hence, option (d) is correct.

Answer:

The clock shows 8:18

Step-by-step explanation:

Answer:

8:18

Step-by-step explanation:

Answer:

33%

Step-by-step explanation:

Answer:

17%

Step-by-step explanation:

GOT IT RIGHT

Answer:

10 1/4

Step-by-step explanation:

Carls age = 12 5/6 - 1 1/3

12 5/6 - 1 1/3

11 (5 - 2) / 6 = 11 3/6

Jane's age = carl's age - 1 1/4

11 3/6 - 1 1/4

10 (12 - 6) / 24 = 10 6/24 = 10 1/4

Answer: the area should be 384cm

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

tan x = opp./adj.

tan 30° = t/20 so t = 20* tan 30° = 11.547≈12

T = t+5 = 12+5 =17  the closest one I see is C.16

Answer:

x = -4/7

Step-by-step explanation:

-5/2x + 1 = x + 3

-7/2x = 2

(-2/7)-7/2x = 2(-2/7)

x = -4/7

Answer:

-22/9

Explanation:

Just turn -2 4/9 into an improper fraction. 2 x 9 = 18 and 18 + 4 = 22.

22/9, and just add the negative sign to make it -22/9.

Answer:

5

Step-by-step explanation:

Answer:

p is 5 by 7 the a is 3 by 6

Step-by-step explanation:

Step-by-step explanation:

Try this process when you see a right triangle

Answer:

4 yards

Step-by-step explanation:

11 1/2 feet is equal to 3.833333 and 4 yards is more than that.

Answer:

11 1/2 ft. < 4 yd

Step-by-step explanation:

I'm not sure if thats what your asking.

But 1 yard is 3 ft, so 4 yards is equal to 12 ft. Therfore 11 1/2 ft. < 4 yd.

Answer:

x=48

Step-by-step explanation:

Supplementary means to add to 180.

Your equation is 36+3x=180

180-36=144

3x=144

144 divided by 3x= 48

x=48

Answer:

#3; Domain stays the same, but the range changes.

Step-by-step explanation:

All of the x values, stay the same, but because of the reflection the y-values change due to everything becoming greater than 2 rather than less than 2.

Answer:

C) The domain stays the same, but the range changes.

✿---✿--❀---❀---✿---✿

hope it helps...

have a great day!!

Answer:

Solution given:

the area of the red triangle =½(a×b)unit²

So area

Answer:

(2x-7)^2

Step-by-step explanation:

you need to find two numbers that add up to -28, but multiply to 196, so -14, then spread out your equation and sub in -14, then divide out common factors, and then you have your answer

if you have any questions, leave them in the comments, i will try to answer them, if this helped, pls give brainliest

Answer:

[tex]g(x)=4x^2-28x+49[/tex]

[tex]=4(x^2-7x)+49[/tex]

[tex]=4(x^2-7x+(7/2)^2-(7/2)^2)+49[/tex]

[tex]=4(x-7/2)^2+4(-(7/2)^2)+49[/tex]

[tex]=4(x-7/2)^2+4(-49/4)+49[/tex]

[tex]=4(x-7/2)^2+0[/tex]

[tex]4(x-7/2)^2+0[/tex]

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

so,

[tex]g(x)=4(x-7/2)^2+0[/tex]

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

hope it helps....

have a great day!!

Answer:

B & E

Step-by-step explanation:

Edge trust me

Answer:

Y = a(x-h)^2 +k

Step-by-step explanation:

The first one, since the vertex form is in subtraction form. You need the a, the x, the h, and the k for the formula.

Answer:

y=a(x-h)^2+k

Step-by-step explanation:

This is the answer because numbers in the -h and k is the vertex point in this form.

e.g. y=2(x-4)^2+5

the vertex here is (4,5)

(btw, for h, when there's a negative sign in front of it, it's the opposite and when there's a plus sign in front of h, it's the opposite.)

Answer:

[tex]Balance = \$2.23[/tex]

Step-by-step explanation:

Given

[tex]Allowance = \$30[/tex]

[tex]Video\ Game = \$17.99[/tex]

[tex]Chocolate\ Bar = \$0.79[/tex]

[tex]Remote\ Car = \$8.99[/tex]

Required [Missing from the question]

What is his balance after purchasing the items

First, calculate total cost of items

[tex]Total =Video\ Game + Chocolate\ Bar + Remote\ Car[/tex]

[tex]Total = \$17.99 + \$0.79 + \$8.99[/tex]

[tex]Total = \$27.77[/tex]

The balance is then calculated as:

[tex]Balance = Allowance - Total[/tex]

[tex]Balance = \$30 - \$27.77[/tex]

[tex]Balance = \$2.23[/tex]

Answer:

A

Step-by-step explanation:

40 x 36 = 1440 in.2

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-2 - (-7)]² + (7 - 5)²

√(5)² + (2)²

√25 + 4

√29

= 5.4

Answer: the letter B.

Answer:

one (Roman numeral one)

Step-by-step explanation:

Because the line goes straight like she is climbing up the hill at a steady pace then boom! all of a sudden she is falling down the hill and gaining major amounts of momentum causing the line to go up as she gets faster and faster.