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Karolina [17]
3 years ago
11

someone please please help me!

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

Answer:

mDE=90°

Step-by-step explanation:

In this problem, one is asked to find the measure of the arc in degrees. This problem provides one with a diagram since the center is unnamed, call the center point (O). One is given the information that angle (<DOE) has a measure of (90) degrees. One is asked to find the degree measure of the surrounding arc (DE).

The central angles theorem states that if an angle has its vertex on the center of a circle, the degree measure of the angle is equal to the degree measure of the surrounding arc. One can apply this here by stating the following:

m

Substitute,

90=mDE

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I need help on 1,2,3
vladimir2022 [97]

Answer:

1. 10x + 14

2. 2x + 11y - 7

3. -10x - 11

Step-by-step explanation:

1.

4x+5+7x-3+x+12=\\10x+14

2.

(7x+9y-1)-(5x-2y+6)=\\7x+9y-1-5x+2y-6=\\2x+11y-7

3.

-2(2x+5)-6x-1=\\-4x-10-6x-1=\\-10x-11

4 0
3 years ago
Read 2 more answers
Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula? Qu
sergejj [24]

Answer:

The answer in the procedure

Step-by-step explanation:

we have

2=-x+x^{2} -4

x^{2}-x-4-2=0

x^{2}-x-6=0

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-x-6=0

so

a=1\\b=-1\\c=-6

substitute in the formula

x=\frac{-(-1)(+/-)\sqrt{(-1)^{2}-4(1)(-6)}} {2(1)}

x=\frac{1(+/-)\sqrt{25}} {2}

x=\frac{1(+/-)5} {2}

x=\frac{1(+)5} {2}=3

x=\frac{1(-)5} {2}=-2

8 0
3 years ago
See the picture below
nika2105 [10]

Answer:

3.

Surface Area = <u>66.4 square centimeters</u>

Volume =<u> 31.52 cubic centimeters</u>

<u></u>

4.

Surface Area = <u>113.1 square centimeters</u>

Volume = <u>113.1 cubic centimeters</u>

Step-by-step explanation:

3.

Surface area of pyramid is area of all the surfaces. There are 4 triangles with area 1/2 * base * height

Where base is 4 and height is 6.3

Area of 4 triangles = 4 * 1/2 * 4 * 6.3 = 50.4

And area of square which is base^2 = 4 ^ 2 = 16

<u>Surface Area = 50.4 + 16 = 66.4 square centimeters</u>

<u></u>

Volume of Pyramid is 1/3 * area of base * height

To find height, altitude, we can drop from vertex to middle bottom. Now we can create a right triangle with hypotenuse 6.3 and base 2 (half of the side 4 cm). The altitute (height) is the other leg.

Now we can use pythagorean theorem to find height:

height ^ 2 + 2 ^ 2 = 6.3 ^ 2

height^2 + 4 = 39.69

height^2 = 39.69 - 4

height^2 = 35.69

height = 5.97

Now, <u>Volume of Pyramid = 1/3 * (4)^2 * 5.97 = 31.52 cubic centimeters</u>

<u></u>

4.

Surface area of sphere is given by:

Surface Area of Sphere = 4\pi r^2

radius, r, is given as 3, so

<u>Surface Area of Sphere = 4\pi(3)^2=113.1 square centimeter</u>

<u></u>

Volume of Sphere is given by  \frac{4}{3}\pi r^3

We know radius is 3, so

<u>Volume of Sphere = \frac{4}{3}\pi (3)^3= 113.1 cubic centimeters</u>

<u></u>

*they are the same

4 0
3 years ago
Plzzzzzzzz help <br><br> I dont get it <br><br> xoxo
olasank [31]

Answer:

the answer can be 1 I guess

4 0
3 years ago
You deposited $800 into an account paying 4.5% interest compounded continuously. A. How much would be in the account in 5 years?
elena55 [62]

Answer:

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

A) From the information given,

P = $800

r = 4.5% = 4.5/100 = 0.045

t = 5 years

Therefore,

A = 800 x e^(0.045 x 5)

A = 800 x e^(0.225)

A = $1002

B) For it to double,

A = 2 × 800 = 1600

Therefore,

1600 = 800 x e^(0.045 x t)

1600/800 = e^(0.045t)

2 = e^(0.045t)

Taking ln of both sides, it becomes

Ln2 = 0.045t

0.693 = 0.045t

t = 0.693/0.045

t = 15.4 years

8 0
4 years ago
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