what is the quotient of 30 and the sum of 5 and 7.
​

Given:

The base of an isosceles triangle is 16 cm long.

The equal sides are each 22 cm long.

To find:

The height of the triangle.

Solution:

We know that the altitude of an isosceles triangle divides the base into two equal parts as shown in the below figure.

According to the Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

Using Pythagoras theorem, we get

[tex]22^2=h^2+8^2[/tex]

[tex]484=h^2+64[/tex]

[tex]484-64=h^2[/tex]

[tex]420=h^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{420}=h[/tex]                  (Because side cannot be negative)

[tex]2\sqrt{105}=h[/tex]

Therefore, the height of the isosceles triangle is [tex]2\sqrt{105}[/tex] cm. Approximate height is 20.49 cm.

Answer:

20 x 5 x 10 = 1,000

4 x 5 x 1 = 20

1,000 divided by 20 = 50

Answer:

332

Step-by-step explanation:

332

Answer:

Volume=8

Step-by-step explanation:

[tex]volume[/tex]⇒[tex]\frac{1}{3}[/tex]×[tex](\frac{1}{2}[/tex]×[tex]3[/tex]×[tex]4^{2}[/tex]×[tex]4)[/tex]

⇒[tex]\frac{1}{3}[/tex]×[tex]3[/tex]×[tex]8[/tex]

[tex]Answer:8[/tex]

hope it helps...

have a great day!!!

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

Answer:

no

Step-by-step explanation:

3x=-12

/3     /3

x=-4

:)

Answer:

lower bound: 2.996

upper bound: 3.244

Step-by-step explanation:

The value that Helen wants to use is Pi = C/D. The lower bound value is 3.065, and the upper bound for Helen's value is 3.165.

The circumference is the perimeter of the circle.

Given, the circumference, C, at 405 mm to three significant numbers.

She correctly estimates the diameter, d, to be 130 mm to two significant numbers.

Helen wants to find the value of Pi using the formula pi=C/D

We have, the circumference of the circle = C = 405 mm

The diameter of the circle = d = 130 mm

Pi = C/D

= 405 mm / 130 mm

= 405 / 130

= 3.115

3.115, measured to the nearest 0.1.

The degree of accuracy is nearest 0.1.

0.1/2 = 0.05

Upper bound = 3.115 + 0.05 = 3.165

Lower bound = 3.115 - 0.05 = 3.065

Therefore, the lower bound and upper bound for Helen's value are 3.165, and 3.065.

To learn more about circumference, refer to the below link:

https://brainly.com/question/14717074

#SPJ5

Answer:

The diameter would be 12.

Answer:

Center: (0, 6); radius = 4

Step-by-step explanation:

x^2 + y^2 - 12y + 20 = 0

We must complete the square in y.

x^2 + y^2 - 12y = -20

x^2 + y^2 - 12y + 36 = -20 + 36

x^2 + (y - 6)^2 = 16

(x - 0)^2 + (y - 6)^2 = 4^2

Center: (0, 6); radius = 4

there are still 10 fish.

Answer:

12

Step-by-step explanation:

if only EC is a diameter and DO is a radius

Answer:

he will have ascended 16.28 ft

Step-by-step explanation:

.74x22=16.28

Answer: A

Step-by-step explanation:

Answer: B. 1 yard, 2 feet, 24 inches

Step-by-step explanation: 1 yard is 36 inches. Each feet is 12 inches, but there are 2 feet so 12 times 2 is 24 inches. And the last is just 24 inches. So, 36 + 24 + 24 = 84 inches

Answer:

A (25)

Step-by-step explanation:

Pythagorean Theorm

[tex]7^{2} +24^{2} =x^{2}[/tex]

Please vote brainliest!!!

Answer:

6 * 2/3 = 12/3 = 4

Step-by-step explanation.

you can think about it like this:  6 * 1/3 * 2

1/3 of 6 is 2 because 2 * 3 is 6

2 * 2 is 4, therefore the correct answer is 4

remember doing 6 * 2/3 is the same as doing 6/1 * 2/3 if that helps

Answer: J

Step-by-step explanation:

Answer:

volume = 549.5 cm³

Step-by-step explanation:

base area m= πr² = (3.14)(5²) = 78.5 cm²

volume = base area x height = 78.5 x 7 = 549.5 cm³

Answer:

549.5 cm3

Step-by-step explanation:

Answer:

(5, - 7 )

Step-by-step explanation:

A translation rule of

(x, y ) → (x + 1, y - 3 )

means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate, that is

(4, - 4 ) → (4 + 1, - 4 - 3 ) → (5, - 7 )

Answer:

26

Step-by-step explanation:

Use the Pythagorean Theorem.

c^2 = a^2 + b^2

a = 10

b = 24

c = ?

c^2 = 10^2 + 24^2

c^2 = 100 + 576

c^2 = 676

sqrt(c^2) = sqrt(676)

c = 26

Answer:

The length of the wooden board is about 12.2 feet.

Step-by-step explanation:

Please refer to the diagram attached below.

The base of the board forms a 35° degree angle with the ground.

And we want to find the length of the wooden board.

Since we are given an angle and its adjacent length and we want to find the hypotenuse, we can use the cosine ratio:

[tex]\displaystyle \cos(\theta^\circ)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is the distance from the wall to the board, which is 10 feet.

And the angle made is 35°.

The hypotenuse is the length of the wooden board. Therefore:

[tex]\displaystyle \cos(35)=\frac{10}{\ell}[/tex]

Solve for the length. Cross-multiply:

[tex]\displaystyle 10=\ell \cos(35)[/tex]

Therefore:

[tex]\displaystyle \ell=\frac{10}{\cos(35)}\approx12.2[/tex]

The length of the wooden board is about 12.2 feet.

Answer:

-3 across the x

Step-by-step explanation:

negative 3 is in the middle of the two, both between point -1 and -5, and point 0 and -6.

When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is [tex]y = -3[/tex]

From the given graph, we have the following observations

Using points C and C' as reference;

We have:

[tex]C = (-3,-1)[/tex]

[tex]C' = (-3,-5)[/tex]

Notice that both points have the same x-coordinate

This means that the line of reflection is parallel to the x-axis, and it passes through the y-axis.

The point at which it passes through the y-axis is calculated using mid-point formula.

So, we have:

[tex]y = \frac{y_1 + y_2}{2}[/tex]

[tex]y = \frac{-1-5}{2}[/tex]

[tex]y = \frac{-6}{2}[/tex]

[tex]y = -3[/tex]

Hence, the line of reflection is [tex]y = -3[/tex]

See attachment for the line of reflection

Read more about reflections at:

brainly.com/question/17983440

Step-by-step explanation:

Mean= Sumof all the numbers/ number of data

So,

23+37+11+58+13+45=187

Now...

187/6=31.166666667 Answer

hope it helps....

What is the mean of this data: 23, 37, 11, 58, 13, 45.

To find the mean of this data, first of all we should add up all the given numbers and then divide by how many numbers there are.

So, [tex] \bf Mean \: = \frac{23 \: + \: 37 \: + \: 11 \: + \: 58 \: + \: 13 \: + \: 45}{6} [/tex]

[tex] \bf Mean \: = \frac{187}{6} [/tex]

[tex] \bf Mean \: = \: 31.17 [/tex]

Answer:

30:9

Step-by-step explanation:

Answer:

$10,857.8

Step-by-step explanation:

Brad wants to have $17000 available to buy a car in 5 years. How much should he deposit now at 9% compounded monthly to reach that goal?

A = p(1 + r/n)^nt

P = A / (1 + r/n)^nt

P = 17000 / (1 + 0.09/12)^(12*5)

= 17,0000 / (1 + 0.0075)^60

= 17,000 / (1.0075)^60

= 17,000 / 1.5657

= 10,857.8

P = $10,857.8

Answer:

Thats kinda not possible but -9 and -9 makes -18 but it would multiply to positive 81  i don;t know

Step-by-step explanation:

Answer:

[tex]-4[/tex]

Step-by-step explanation:

The formula for average rate of change (AROC) is:  [tex]\frac{f(b)-f(a)}{b-a}[/tex]

[tex]\frac{f(2)-f(0)}{2-0}[/tex] ⇒ [tex]\frac{-3-5}{2-0} =-4[/tex]

Answer:

`a) $697.90

b) $161.98 gain

c) 23.2096% annual return rate

Step-by-step explanation:

a) $16.45 for one share. 42 shares will cost 16.45 x 42 = $690.90

As she used a broker and paid $7, the total cost for Tarah would be $697.90

b) After the investment, Tarah's gain is $20.64 per stock and she had bought 42. So the total income would be 20.64 x 42 = $866.88. However, she used a broker to sell the stocks as well, so the total gain would only be 859.88.

Overall, the cost was -697.90+859.88 = 161.98 net gain.

c) The rate of return would be the percentage of the original price of stocks that is equal to the net gain. What we are trying to find here is:

What percentage of 697.90 is 161.98?

We can find this percentage by doing a simple division (161.98/697.90) which gives us an answer of 0.232096

In percentages, multiply this decimal by 100 to get a 23.2096% annual return.

I hope I am correct, but some of the vocabularies may have messed up my answers. Hope it helps!