1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ankoles [38]
3 years ago
7

Question 23 (5 points)

Mathematics
1 answer:
BigorU [14]3 years ago
4 0

the answer is 1024 because 7²+25²=b²

factor out the square which gives you

(7+25)²=b²

32²=b²

squaring 32 gives 1024

You might be interested in
Simplify 7 -(-4) + 3(-6).<br> 0-7<br> 07<br> -9<br> 9
Contact [7]
It’s -7
7-(-4) is 7+4, which is 11
3 times -6 is -18
11 + -18 is -7
6 0
4 years ago
Read 2 more answers
Find the minimum value of the function f(x) = x2 + 5x – 6
Klio2033 [76]

So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.

Firstly, the equation to find the axis of symmetry is x=\frac{-b}{2a} , with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:

x=\frac{-5}{2*1}\\\\x=\frac{-5}{2}\\\\x=-2.5

Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:

f(-2.5)=(-2.5)^2+5*(-2.5)-6\\ f(-2.5)=6.25+(-12.5)-6\\ f(-2.5)=-12.25

Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).

6 0
3 years ago
Show working out please
Vlad [161]

If 40% are boys, 60% are grills.

As fractions:

4/10 = 2/5 are boys

6/10 = 3/5 are grills

70% or 7/10 of the boys arrive by car:

(2/5)(7/10) = 14/50 = 7/25

And 60% or 3/5 of the grills arrive by car:

(3/5)(3/5) = 9/25

So in total we have 7/25 + 9/25 = 16/25 = 64/100 = 64%

64% chance that a child arrives by car.

4 0
3 years ago
10. Five companies employed 2340, 3455, 675, 960 and 1350 workers. The first company
alexira [117]

​

THIS IS THE COMPLETE QUESTION

Five companies employed 2340, 3455, 675, 960 and 1350 workers. The first company laid off 1 worker for every 5 workers, while the other three recruited 2 new workers for every 3. a) What was the total number of workers at the beginning c) How many people: i) Lost job ii) Got job d) What was the total number of workers finally

Answer:

a) 8780

ci) 1159

cii) 1990

d) 9611

Step-by-step explanation:

a) What was the total number of workers at the beginning?

The Total number of workers at the beginning can be calculated by adding the number of workers which are

= 2340 + 3455 + 675 + 960 + 1350

= 8780

c) How many people: i) Lost job

TO calculate the number that lost their job, we know that the first company laid off 1 worker for every 5 workers,

But the employed workers were 2340 and 1 worker laid for every 5 workers. Hence we can say that

2340/5 = 468

Therefore, 468 lost job in the first company.

To calculate for the second company,

from the question we know that Workers employed were 3455 and 1 worker laid for every 5 workers. Then we can say that

3455 / 5 = 691

Therefore, 468 lost job in second company.

After getting the number that lost their job in the two companies we can now say that the total workers that lost job:

=468 + 691 = 1159

ii) To calculate the number that Got job

We know that other three companies recruited 2 new workers for every 3, then the number of people who got job in these three companies can be calculated as;

= [(675 * 2 )+ (960 *2) + (1350 *2) ]/ 3

= (1350 + 1920 + 2700) / 3

= 5970 / 3

= 1990

Therefore, we have 1990 people that got the job.

d) the total number of workers finally can be calculated by summing up the the workers who got job in the workers at beginning then minus the number ofworkers who lost job ,

We know that the Total number of workers:

8780 number of workers at the beginning

1159 is for companies who lost job

1990 is for companies who got job

total number of workers finally:

= (8780 )+ (1990) -( 1159)

= 9611

Therefore, the total number of workers finally are 9611.

6 0
3 years ago
Consider angle θ in Quadrant lI, where cosθ = - 12/13. What is the value of sinθ?​
ASHA 777 [7]

Answer:

The value of sin Ф is \frac{5}{13}

Step-by-step explanation:

In quadrant II, the value of

  • sin Ф is positive
  • cos Ф is negative
  • tan Ф is negative

Let us solve the question

∵ sin²Ф + cos²Ф = 1

∵ cos Ф = \frac{-12}{13}

→ Substitute it in the identity above

∴ sin²Ф + (\frac{-12}{13})² = 1

∴ sin²Ф + \frac{144}{169} = 1

→ Subtract \frac{144}{169} from both sides

∵ sin²Ф + \frac{144}{169}  - \frac{144}{169}  = 1 - \frac{144}{169}

∴ sin²Ф = \frac{25}{169}

→ Take the square root of both sides

∵ √(sin²Ф)= ± \sqrt{\frac{25}{169}}

∴ sin Ф = ± \frac{5}{13}

∵ Ф is in quadrant II

∴ sin Ф is a positive value

∴ sin Ф = \frac{5}{13}

∴ The value of sin Ф is \frac{5}{13}

6 0
3 years ago
Other questions:
  • Please solve quick !!!!!!!!! Please
    6·1 answer
  • I need help with this ??
    9·1 answer
  • Factor completely 4xy − 7x + 20y − 35.
    15·2 answers
  • A box contains 5 plain pencils and 5 pens. A second box contains 5 color pencils and 7 crayons. One item from each box is chosen
    5·2 answers
  • Calculate the velocity of a car traveling in a straight path due east with a distance of 16 meters in 2 seconds. Question 1 opti
    12·1 answer
  • Which of the following equations best represents the regression line for the data given in the table below?
    10·1 answer
  • 2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for
    7·1 answer
  • What is the solution to the system of equations? 5x+3y=18 2x−3y=10
    11·1 answer
  • If -2a &gt; 6 then a &lt; -3 true or false
    12·1 answer
  • find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 . ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!