Which inequality is represented by this graph?
A. X > 3
B. X ≥ 3
C. X > 4
D. x ≥ 4

Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

Answer:

14  xd xd xd

Step-by-step explanation:

xd xd xd

Answer:

fifteen less than a number.

____________________________

 - When multiplying powers of the same base, all you have to do is add the exponents to multiply them.

So your answer is [tex]\bold{v^{27}}[/tex].

____________________________

Answer:

Two

Step-by-step explanation:

Answer:

9,4

Step-by-step explanation:

Answer:

a) 1 2/9 or 11/9

b) 37.6

c) 37

Step-by-step explanation:

Answer:

its 938q2, your welcome!!!

Step-by-step explanation:

Answer:

The time was actually showing 15:01 so it takes them 20 minutes i think?

Answer:

(5,4)

Step-by-step explanation:

To find midpoint you just find out how far apart the points are and divide it by half. For example our x values are 9 and 1. 9 and 1 are 8 points away. Half of 8 is four so 9-4 is 5. Remember midpoint is the MIDDLE.

Answer:

somehow i got 0.7345

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

13 + 8 - 4

Answer:

{13, 17, 21, 25, 29}

Step-by-step explanation:

Add 8 and subtract 4 is equivalent to Add 4.

If the first term is 13, the next is 17;

the second term is 21; and

the third term is 25.

Answer:

6

Step-by-step explanation:

Um so what I did was 15/5=3 and 14/7+2

So for the first group of men, 2 groups. TIMES 3.

Equals 6 options

Answer:

The amount is $3372.13 and the interest is $872.13

Step-by-step explanation:

Interest is the monetary charge for the privilege of borrowing money.If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals,

then  864.671 is the interest earned after 15 years.

Interest is the monetary charge for the privilege of borrowing money.

Given that  $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, We need to find how much interest is earned after 15 years.

After 15 years,

Amount=2500×(1+2%)^15

=3364.671

The formula for interest is given below,

Interest=Amount-Capital

=3364.671-2500

=864.671

Hence 864.671 is the interest earned after 15 years for $2,500 is deposited with 2% interest compounded quarterly and there are no other deposits or withdrawals.

To learn more on Interest click:

https://brainly.com/question/13324776

#SPJ2

Answer:

1478.67

Step-by-step explanation:

Answer:

= 50

Step-by-step explanation:

Answer:

obtuse

Step-by-step explanation:

Let 5 = a, 7 = b, 10 = c

if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem

If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4

if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3

a^2 = 25

b^2 = 49

c^2 = 100

25 + 49 < 100, therefore the triangle is an obtuse

Answer : -302.6

Step-by-step explanation:

Answer:

y = 4x+4

Step-by-step explanation:

Using the coordinate point (1, 8) and (2, 12) from the table

Slope m = 12-8/2-1

m = 4/1

m = 4

Get the intercept

Substitute m = 4 and (1, 8) into y = mx+c

8 = 4(1) + c

8 - 4 = c

c = 4

Get the required equation

y = 4x + 4

Hence the required linear equation is y = 4x+4

Answer:

The solution to the system of equations be:

[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]

Step-by-step explanation:

Given the system of equation

[tex]\begin{bmatrix}-x+5y=8\\ 3x+7y=-3\end{bmatrix}[/tex]

Multiply -x+5y=8 by 3:   -3x+15y=24

[tex]\begin{bmatrix}-3x+15y=24\\ 3x+7y=-3\end{bmatrix}[/tex]

Add the equations

[tex]3x+7y=-3[/tex]

[tex]+[/tex]

[tex]\underline{-3x+15y=24}[/tex]

[tex]22y=21[/tex]

solving 22y=21 for y

[tex]22y=21[/tex]

Divide both sides by 22

[tex]\frac{22y}{22}=\frac{21}{22}[/tex]

Simplify

[tex]y=\frac{21}{22}[/tex]

For -3x+15y=24  plug in y = 21/22

[tex]-3x+15\cdot \frac{21}{22}=24[/tex]

Subtract 15 · 21/22 from both sides

[tex]-3x+15\cdot \frac{21}{22}-15\cdot \frac{21}{22}=24-15\cdot \frac{21}{22}[/tex]

[tex]-3x=\frac{213}{22}[/tex]

Divide both sides by -3

[tex]\frac{-3x}{-3}=\frac{\frac{213}{22}}{-3}[/tex]

[tex]x=-\frac{71}{22}[/tex]

The solution to the system of equations be:

[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]

Answer:

Step-by-step explanation:

y + 8 = 3/4(x - 8)

y + 8 = 3/4x - 6

y = 3/4x - 14

Answer:

a. 68%

b. 99.7%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 246.8

Standard deviation = 67.2

a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the​ mean, or between 179.6 and 314.0​?

By the Empirical Rule, approximately 68%.

b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4​?

45.2 = 246.8 - 3*67.2

448.4 = 246.8 + 3*67.2

Within 3 standard deviations of the mean, so approximately 99.7%.

Answer/Step-by-step explanation:

✔️A = 180° - (50° + 90°) (sum of triangle)

A = 40°

✔️Find a:

Reference angle = 50°

Opposite = 17

Adjacent = a

Therefore, using trigonometric ratio, we have the following:

Tan 50 = 17/a

a = 17/tan 50

a = 14.3 (nearest tenth)

✔️Find c using Pythagorean Theorem:

c² = a² + b²

c² = 14.3² + 17²

c = √493.49

c = 22.2 (nearest tenth)

Answer:

Step-by-step explanation:

-9x +15y = 3(-3x +5y) = -3(3x - 5y)

The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The given expression is given as follows:

-9x + 15y

It is required to find the factorization of the given expression.

As per the question, we have

-9x + 15y

To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:

-9x + 15y = 3(-3x + 5y)

Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).

Learn more about the Factorization here:

brainly.com/question/4184435

#SPJ3

Answer:

thats good on daniel it will save him time.

Answer:

Yea it will save him time

Step-by-step explanation:

There's no question so...

Answer:

Step-by-step explanation:

f(x) + g(x) = x^2 - 2x + x + 12

f(x) + g(x) = x^2 - x + 12

(f + g)( -1) = 1 + 1 + 12 = 14

f(x) - g(x) = x^2 - 2x - x - 12

f(x) - g(x) = x^2 - 3x - 12

(f + g)(-1) = (-1)^2 -(3)(-1) -12

(f + g)(-1) = 1 + 3 - 12

(f + g)(-1) = - 8

Answer:she will have 96,600

Step-by-step explanation:

Hope this helps

Answer:

Each animal lives to be 13.1 years old on average (mean), and the standard deviation of the lifespan is 1.5 years. If someone wants to know the probability that an animal will live longer than 14.6 years, they could use the empirical rule.