Write the following series in sigma notation.
5+13+21+29+37+45+53

Answer: 12(x-5)

Step-by-step explanation:

Answer:

z = 4.5

Step-by-step explanation:

∠B = ∠B      ∠BAD = 90° - ∠B = ∠C

ΔBAD ~ ΔBCA

AB / z = BD / AB

z = AB * AB / BD = 3*3 / 2 = 4.5

Answer:

88.3 degrees

Step-by-step explanation:

The complementary angles complete each other to 90 degrees

if one of the angle is 1.7 degree then the other one is :

90 - 1.7 = 88.3 degrees

Answer:

18

Step-by-step explanation:

Answer:

renee is correct

Step-by-step explanation:

because when linda multipled -2 by 4 she forgot to change the positive sign to a negative sign

Answer:

6

Step-by-step explanation:

all you have to do is divide 54 by 9 because area is length times width

Answer:

6

Step-by-step explanation:

Area of a rectangle: l x b (Length x Breadth)

Note: Breadth is the same as width

Area = 54

Length = 9

Breadth = 54/9

             = 6

Hope this helped!!!! :))

Answer:

A) 2

Step-by-step explanation:

let 'a' = Angelica's age

let '6+2a' = Jacob's age

6+2a = 10

2a = 4

a = 2

Answer:

1742

Step-by-step explanation:

I am of the belief this is the right answer according to the arithmetic calculator.

Answer:

18

Step-by-step explanation:

it raise the score by 25 an hour

Answer:

Solution given:

Answer:

hhjjjhhhhhhhjnujjiki9jhbhhbbn

Answer:

1/2

Step-by-step explanation:

P.E.=3/6

P.E.=1/2

Pleas mark me as brainliest

Answer:

1/216

Step-by-step explanation:

Hi, the probability of rolling it once is 1/6, twice in a row results in multiplying 1/6 by 1/6.

Therefore, three times means using the formula: (1/6)^3

Which gives us the fraction 1/216

Hope this helps, please give brainliest

Answer:

greater than because the ≥ is facing the -2x+9

Step-by-step explanation:

Answer:

x ≤ -9

Step-by-step explanation:

-2x+9 ≥ 27

Subtract 9 on both sides

-2x ≥ 18

Divide by -2 on both sides and switch the inequality symbol

x ≤ -9

Answer:

ancho de ese culotote

Step-by-step explanation:

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

[tex]V_1=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]r=8,h=15[/tex] in the above formula, we get

[tex]V_1=\dfrac{1}{3}\pi (8)^2(15)[/tex]

[tex]V_1=\pi (64)(5)[/tex]

[tex]V_1=320\pi[/tex]

Volume of the hemisphere is:

[tex]V_2=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius.

Putting [tex]r=8[/tex], we get

[tex]V_2=\dfrac{2}{3}\pi (8)^3[/tex]

[tex]V_2=\dfrac{1024}{3}\pi [/tex]

[tex]V_2\approx 341.3\pi [/tex]

Now, the volume of the composite figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=320\pi +341.3\pi[/tex]

[tex]V=661.3\pi[/tex]

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

[tex]A_1=\pi r\sqrt{h^2+r^2}[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]r=8,h=15[/tex] in the above formula, we get

[tex]A_1=\pi (8)\sqrt{(15)^2+(8)^2}[/tex]

[tex]A_1=\pi (8)\sqrt{289}[/tex]

[tex]A_1=\pi (8)(17)[/tex]

[tex]A_1=136 \pi [/tex]

The curved surface area of the hemisphere is:

[tex]A_2=2\pi r^2[/tex]

Where, r is the radius.

Putting [tex]r=8[/tex], we get

[tex]A_2=2\pi (8)^2[/tex]

[tex]A_2=2\pi (64)[/tex]

[tex]A_2=128\pi [/tex]

Total surface area of the composite figure is:

[tex]A=A_1+A_2[/tex]

[tex]A=136\pi +128\pi[/tex]

[tex]A=264\pi[/tex]

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.

Answer:

y = 3x + 1

Step-by-step explanation:

substitute the variables in y=mx+b

(5) = 3(-2) + b

5 = -6 + b

add 6 on each side

1 = b

Answer:

it looks pretty nice

Step-by-step explanation:

Step-by-step explanation:

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow \dfrac{1}{5c}=7[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow 1=5c\times 7[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow 1=35c[/tex]

[tex]\\ \:\:\:\:\:\sf {:}\dashrightarrow{\underline{\boxed{\bf{ c=\dfrac{1}{35}}}}}[/tex]

Answer:

Step-by-step explanation:true

Step-by-step explanation:

Distance between (5,-3) and (9,1)=√(9-5)^2+(1-(-3))^2

=√4^2+4^2

=√16+16

=√32 units

It's not possible to calculate the distance between these points by pythagoras theorem .We can easily calculate it by distance formula I.e.√(x2-x1)^2+(y2-y2)^2

Answer:

the third one

Step-by-step explanation: tell me if im wrong so i can fix it and your welcome if its right

Answer:

B.

Step-by-step explanation:

The second one

Answer:

It would be 3.

Step-by-step explanation:

So, a reciprocal is basically just flipping over the numerator and the denominator of a fraction. Therefore:

3/9 ---> 9/3

The reciprocal of the fraction number in the simplified form will be 3.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The fraction number is given below.

⇒ 3 / 9

Simplify the fraction number, then we have

⇒ 3 / 9

⇒ 1 / 3

The reciprocal of the fraction number will be given as,

⇒ 1 / (1/3)

⇒ 3

The reciprocal of the fraction number in the simplified form will be 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

true is the answer

......................................

Answer:

you are correct the answer is true because they are not good sources of protein

[tex]5x + 2 + \frac{7}{x - 2} [/tex]

Answer: (-4,10)

Step-by-step explanation:

Edg

Answer:

- 2/5

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-4) / 5 - 10

2 / -5

- 2/5

Answer:

24

Step-by-step explanation:

The area is calculated by multplying radius (half of diameter) by itself and then with number pi

the area for this circle is given as

144π m^2

144 is the squared form of 12 if the radius is 12 the diameter is 24

Answer:

x = 24

Step-by-step explanation:

The given line y = 3 is a horizontal line with slope zero (0).

We wish to find the equation of a line that is perpendicular to y = 3.  Such a line would be a vertical one.  Vertical lines do not have slopes defined (due to division by zero).

Thus the general form of the equation of this new line is x = c.

This new line passes through (24, -56).  Thus, x must be 24:  x = 24

Answer:

since 4/17 is smaller than 1, multiplying 4/17 with a. fraction smaller than 1 will yield a number still smaller than 4/17. This will still be smaller than 4/16. Hence the correct answer is A.

Step-by-step explanation:

hope i helped and have a wonderful day

Answer:

height

Step-by-step explanation:

you can just look these questions up