0 3. The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3,5),
pentagon's area?
25 sq. units
15 sq. units
40 sq. units

Answer: 128

Step-by-step explanation:

day 1: 1

day 2: 2

day 3: 4

day 4: 8

day 5: 16

day 6: 32

day 7: 64

day 8: 128

ALSO.

you can solve it by doing 2 to the power of 8

2^8 is the expression

Hi there!

[tex]\large\boxed{cos(\frac{\theta}{2} )= \frac{3}{\sqrt{7}}}[/tex]

[tex]\large\boxed{tan(\frac{\theta}{2}) = \frac{\sqrt{5}}{3}}[/tex]

Begin by recalling that:

sin(θ) = O/H,  so:

Opposite side = 3√5

Hypotenuse = 7

We can solve for the adjacent sign using the Pythagorean Theorem:

7² = (3√5)² + b²

49 = 45 + b²

b² = 4

b = 2.

Thus, cosθ = 2/ 7

Use the half angle identity to solve for cos(θ/2):

cos(θ/2) = √(1 + cosθ)

Plug in the value of cosθ:

= √(1 + 2/7) = √9/7, or 3 /√7

Thus:

[tex]cos(\frac{\theta}{2}) = \frac{3}{\sqrt{7}}[/tex]

Calculate tan(θ/2) using the same process but with a different formula:

tan(θ/2) = √(1 - cosθ / 1 + cosθ)

Substitute in the value of cosθ:

tan(θ/2) = √(1 - 2/7)/(1 + 2/7)

= √(5/7)/(9/7) = √5/9 = √5/3

Answer:

4 1/12

Step-by-step explanation:

make all the denominators 12 so u can add them easier

2 1/12 + 2 4/12 + 3 2/12 = 7 7/12

nn subtract from the 11 2/3

11 8/12 - 7 7/12 = 4 1/12

Answer:

5

6

Step-by-step explanation:

To solve, collect like terms

x ≥ 2 + 21/2

x ≥ 4 1/2

the whole number that would be greater than 41/2 would be 5

2.  2.7 + 3.3  > x

6 > x

Answer:

450ft

Step-by-step explanation:

In the picture

Answer:b=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3b−1)=40

(2)(3b)+(2)(−1)=40(Distribute)

6b+−2=40

6b−2=40

Step 2: Add 2 to both sides.

6b−2+2=40+2

6b=42

Step 3: Divide both sides by 6.

6b/6=42/6

b=7

Answer:

36

Step-by-step explanation:

since the triangles are similar, that means that they have the same angles, and all 3 correlating sides have the same scaling factor.

C correlates to R.

B to Q.

A to P.

therefore,

CB correlates to RQ.

84 / 18 = 14 / 3

so, the scaling factor from ABC to PQR is

3/14

AB to PQ must have the same scaling factor :

168 × 3/14 = 12 × 3 = 36

which is also (of course) confirming the ratio of leg to baseline of the original triangle :

AB : CB = 168 : 84 = 2 : 1

and now

PQ : RQ = 36 : 18 = 2 : 1

Answer:

slope- (261)

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Require

All complementary angles

The image is blur and the texts are unreadable. However, the following explanation will assist you

To determine a pair of complementary angles, then both angles must add up to 90.

For instance: 50 and 40; 72 and 18, 10 and 80 etc.

So, all you need to do is select all pairs of angles that add up to 90 in the given image.

Take for instance:

[tex]\angle ABC = 50[/tex] and [tex]\angle BDE = 40[/tex] -- assumed values

This means that, you will select [tex]\angle ABC\ \&\ \angle BDE[/tex] as a pair

Answer:

49

Step-by-step explanation:

because, A right angle has an angle of 90° degree

so, 41+49

= 90

hence, proved.

if it helps don't forget to like and mark me

Answer:

D) 1078

Step-by-step explanation:

Answer:

The answer is A .

Step-by-step explanation:

Good luck ;)

Answer:

77

Step-by-step explanation:

just do 500-423

Answer:

1800 seconds.

Step-by-step explanation:

30 × 60 = 1800

Answer:

$21.60

Step-by-step explanation:

240 x .09 = 21.60

Answer:

6

Step-by-step explanation:

i am not sure but i think its right sorry if you get it wrong

Answer:

24

Step-by-step explanation:

120/6=20

300/15=20

360/18=20

480/20=24

Check:

480/24=20

Answer: 20???

Step-by-step explanation:

Answer:

112 teaspoons just multiply 56 by 2 with a calculator

Step-by-step explanation:

Answer:

11 teaspoons

Step-by-step explanation:

I hope this helps :)

Answer:

Whats the question to this problem? Do you want to know if it's correct?

i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!

Step-by-step explanation:

Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!

Answer:

Step-by-step explanation:

sin 60=CB/18

[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]

Step-by-step explanation:

Area of rectangle is Length × Breadth

We need to multiply these 3 terms.

[tex]\rm{2y^2 \times (6y^4 + 3y^3 - y^2 - 8)}[/tex]

Use distributive property

= 12 y⁶ + 6y⁵ - 2 y⁴ - 16 y²

Hope it helps :)

Answer:

A is >

B is >

C is =

I hope this helps you.

Answer:

learning task 3.4

1) p-3

2) (8÷d)+6

3) 11-(9×4)

4) 4÷2

5) (10+6)÷4

Answer:

I believe that X=10 .

Step-by-step explanation:

Good luck ^^

Answer:

0.0475

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In a large company, the proportion of employees who were promoted during the last year was 0.10.

This means that [tex]p = 0.1[/tex]

100 employees

This means that [tex]n = 100[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]

What is the probability that at least 15 of them were promoted during the last year?

This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15 - 10}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a pvalue of 0.9525

1 - 0.9525 = 0.0475.

0.0475 is the answer.

Answer:

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of −5, 4i, and −4i

This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So

[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]

[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]

[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]

[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]

Since [tex]i^2 = -1[/tex]

[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]

[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]

Has a value of 40 when x=3

We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So

[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]

[tex]200a = 40[/tex]

[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]

So

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]