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3 years ago

Please help me with this

Mathematics

2 answers:

Svetllana [295]3 years ago

6 0

Answer:

7, or (A) is your answer

Step-by-step explanation:

First, factor the number within the root.

√49 = √(7 * 7)

Note that there are two of the same factor within the root (7). When this occurs, they combine and become a whole number.

√49 = √(7 *7) = 7

7, or (A) is your answer

Dmitriy789 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

sqrt(49)

What number times itself = 49

7*7 = 49

and

-7*-7 = 49

Given the choices choose 7

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Given: △ABC is equilateral, △ADC is isosceles,

KonstantinChe [14]

Answer:

Step-by-step explanation:

Since ABC is an equilateral triangle, thus AB=BC=AC=x, therefore

The perimeter of ΔABC=36

⇒AB+BC+AC=36

⇒x+x+x=36

⇒3x=36

⇒x=12

Thus, AB=BC=AC=12.

Now, Since ΔADC is isosceles triangle, therefore AD=DC=y.

Perimeter of ΔADC=40

⇒AD+DC+CA=40

⇒x+y+y=40

⇒12+2y=40

⇒2y=28

⇒y=14

Therefore, AD=DC=14

Thus, Length of sides of ΔABC are AB=BC=AC=12 and Length of sides of ΔADC are AD=DC=14.

7 0

3 years ago

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 5 m and a depth of 1.4

Korolek [52]

Answer:

8 hours

Step-by-step explanation:

basic equation

Q (flow rate) = V (volume)/ t (time)

so to find the time we just rearrange the equation and become

t = V/Q

V of cylinder

V = πr²T

and r (radius) = ½ diameter

V = 3.14 x 5² x 1.4

V = 109.9 m³

if the Q is 13 m³/hour then

t = 109.9/13 = 8.453 hours

round to nearest hour = 8 hours

6 0

2 years ago

Trisha has a game board as shown below, which is a square that has a total area of 400 square inches. The area of the large circ

Mazyrski [523]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

Total area of square inches = 400

The area of the large circle = 314

Now, we need to find the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square,

Let E be the event the Trisha will get points .

so,

$P(E)=\frac{314}{400}$

As we know that

$P(E')=1-P(E)\\\\P(E')=1-\frac{314}{400}\\\\P(E')=\frac{400-314}{400}\\\\P(E')=\frac{86}{400}\\\\P(E')=0.215=0.22$

So, Probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square = 0.22

So, First option is correct.

4 0

3 years ago

Read 2 more answers

If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

3 years ago

One bus leaves a stop every 9 minute . A second bus leaves the stop every 15 minutes. If they both leave at 1:25 pm, at what tim

Verdich [7]

They will leave at1:70

8 0

2 years ago