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3 years ago

Rewrite the fraction in the sentence below as a percentage.

Mathematics

1 answer:

Furkat [3]3 years ago

6 0

Answer:

55%

Step-by-step explanation:

Total number of targets = 20

Number of targets hit = 11

100 / 20 = 5

5 * 11 = 55

This means that 55% of the targets were hit.

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bogdanovich [222]

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3 years ago

In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE║ AB. Find the measures of the angles of ΔABC, if m∠ADE: m∠ADB = 2

drek231 [11]

Answer: ∠A=48°,∠B=48°,∠C=84°.

Step by-step explanation:

Given: AD and BE are the angle bisectors of ∠A and ∠B

i.e ∠6=∠7 ( ∵ Angles formed after AD bisected ∠A)

∠4=∠5 ( ∵ Angles formed after BE bisected ∠B)

Also, DE║AB

⇒ ∠2=∠7 (∵ Alternate interior angles)

∠3=∠6 (∵ Alternate interior angles)

And ∠ADE : ∠ADB =∠2:∠3= 2:9 =2x : 9x ..(1)

To Find: ∠A,∠B,∠C.

Solution: ∠2=∠7 (∵ Given) ...(2)

∠2=∠4 (∵ angles on the same segment) ...(3)

∠4=∠5 =∠B/2 (∵ Given) ...(4)

∴ In Δ ABD

∠3+∠4+∠5+∠7 = 180 (∵ Sum of interior angles of a triangle)

From equation 2,3,4,5, Put values

9x+2x+2x+2x =180°

⇒15x = 180°

⇒x=12°

Putting values in equation (4) ⇒ ∠ B =2*(2*12) = 48°

Also, ∠B=∠A=48°

Now,in Δ ABC

∠C+∠B+∠A= 180°

⇒48°+48°+∠C= 180°

⇒∠C=84°

6 0

4 years ago

A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is

leva [86]

A water sprinkler sends water out in a circular pattern. Determine how large an area is watered. The radius of watering is 19 feet. Use 3.14 for radius

area=l*b =3.14*19

7 0

3 years ago

Determine the sine of A) 12 over 13 B) 12 over 5 C) 5 over 12 D) 5 over 13 As in over I mean fraction form

Alex777 [14]

Answer:

A) 12 over 13

Step-by-step explanation:

Sine = opposite side/hypotenuse

opposite side = 12

hypotenuse = 13

sin A = 12/13

3 0

3 years ago

-4x-7+10x=-7+6x−4x−7+10x=−7+6xminus, 4, x, minus, 7, plus, 10, x, equals, minus, 7, plus, 6, x Choose 1 answer: Choose 1 answer:

EleoNora [17]

Answer:

(Choice C) C Infinitely many solutions.

Step-by-step explanation:

First of all, let us learn about solutions of linear equations in one variable.

The linear equations in one variable usually have one solution.

For example:

$2x =x+3$

When we solve this:

$2x-x=3\\\Rightarrow x=3$

One solution is $x = 3$

But there can be situations when there are

1. No solutions:

For example:

$x =x+9$

It means that value x is equal to value of x+9 which can never be true.

Truth is the term on Right Hand Side is always 9 greater than the value of Left Hand Side.

Such situations are called Contradictions.

Here, no solution exists.

2. Infinitely many solutions:

For example:

$x+2x+8=3x+8$

The Right hand Side is just the simplification of the LHS.

And LHS is always equal to RHS no matter what is the value of variable $x$ .

It means there are infinitely many solutions for this equation.

-----------------------------------------------------

Now, let us have a look at the given equation in the question:

$-4x-7+10x=-7+6x$

Taking LHS: $-4x-7+10x$

Taking the terms with $x$ on one side:

$-7+10x-4x\\\Rightarrow -7+6x$

which is equal to Right Hand Side.

Hence, as we discussed in case 2 above.

For every value of $x$ the equation holds true.

$\therefore$ There exists infinitely many solutions to the given equation.

Correct answer is:

(Choice C) C Infinitely many solutions

8 0

3 years ago