Simplify:

- 5 1/4 -( -7 1/2)

52.151°

0.9102rad × 180/π = 52.151°

Answer:

[tex](x+1)^2+(y-2)^2=49[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where  r  is the radius, and the center is (h, k).

(h, k) = (-1, 2),  r = 7

[tex](x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49[/tex]

Answer: [tex]0.0756,\ 0.7599[/tex]

Step-by-step explanation:

Given

Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]

Using Binomial distribution for [tex]n=4[/tex]

(a) Probability that the coin will lead heads exactly 3 times

[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]

(b)Probability that the coin lands head at least once

[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]

Answer:

(1,3)

Step-by-step explanation:

It is the intercept of the two lines

2+3+7+2+10= the answer

Answer: -14, -7, -4, -2, 0, 1, 8

Step-by-step explanation:

Answer:

-14, -7, -4, -2, 0, 1, 8

Step-by-step explanation:

Answer:

I think it's d or a

Step-by-step explanation:

ggood luck

Answer:

No, it does not.

Step-by-step explanation:

A linear function of x will form a straight (non-vertical) line on a graph.

This is caused directly by the equation

y = ax + b

For some constant a and b, which means that the rate of change is constant.

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.

Answer:

1:3 ............... ......

Answer:

The present age of the mother is 40 years

Step-by-step explanation:

Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then

M = 2.5D

Given that Four years ago the ratio of their ages was 3:1

The mother's age 4 years ago was

= M - 4

and that of the daughter then was

= D - 4

Hence

(M - 4)/(D - 4) = 3/1

Cross multiply

M - 4 = 3(D - 4)

M - 4  = 3D - 12

M = 3D - 12 + 4

M = 3D - 8

Substitute into the first equation

3D - 8 = 2.5D

3D -2.5D = 8

0.5D = 8

D = 8/0.5

= 16 Years

M = 2.5D

M = 2.5 * 16

= 40 Years

Answer:

B. 13

Step-by-step explanation:

3(4) + 1 = 13

Answer:

13

Step-by-step explanation:

3n=3x4=12

12+1=13

Answer:

a b c and f

Step-by-step explanation:

rectangle parallelogram square and rhombus

Answer:

118000 thousand cents. Jdbduxb

Answer:

x =-16

Step-by-step explanation:

Given the equation

-3x - 21 = 27

We are to find the next step in solving the equation

Step 1: Add 21 to both sides

-3x - 21 + 21 = 27 + 21

-3x = 48

Step 2: Divide both sides by -3

-3x/3 = 48/3

-x = 16

x = -16

Hence the value of x is -16

Answer:

10.5

Step-by-step explanation:

Given

A = (1/4, 3)

B = (1/2, 4.5)

To get the coordinate of C as 7/4, what was done was to first take the difference in the x coordinates and then dilate the result by 7

To get the y coordinate;

Difference = 3 - 4.5

Difference = -1.5

This is done y multiplying the result by 7;

y coordinate = 1.5 * 7

y coordinate = 10.5

Hence its y-coordinate is 10.5

Answer:

X=18

Step-by-step explanation:

since angles are supplementary that means their sum is 180

[tex]4x - 24 + 4(2x - 3) = 180 \\ 4x - 24 + 8x - 12 = 180 \\ 12x - 36 = 180 \\ 12x = 216 \\ x = 18[/tex]

Answer:

function is h(t) = -16t² + 22t + 6

max height is 13.5 feet

Step-by-step explanation:

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

Answer: 12

Step-by-step explanation:

Answer:

1. 2000 = 2(2W + W)

Step-by-step explanation:

perimeter = 2(L + W)

L = 2W, so:

perimeter = 2(2W + W)

Answer:

I'm not totally sure, but I think the answer is thousands.

Step-by-step explanation:

[tex] {9}^{2} - {7}^{2} \div {2}^{3} \\ = 74.875[/tex]

Answer:

it is an outlier !!!!!

Answer:

∑j=15(5j−12)

Step-by-step explanation:

For j = 1 up to j = 5

j = 1

(5j - 12) = (5(1) - 12) = 5 - 12 = - 7

j = 2

(5j - 12) = (5(2) - 12) = 10 - 12 = - 2

j = 3

(5j - 12) = (5(3) - 12) = 15 - 12 = 3

j = 4

(5j - 12) = (5(4) - 12) = 20 - 12 = 8

j = 5

(5j - 12) = (5(5) - 12) = 25 - 12 = 13

(-7 + (-2) + 3 + 8 + 13)

Answer:

(5j-12)

Step-by-step explanation:

Other person was right, took the test using the answer they gave.

Answer:

62

Step-by-step explanation:

x+37+81=180, x=62

A small rectangle, large rectangle, a small rectangle

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