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
Digiron [165]
3 years ago
14

Please Help with this Problem!

Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer: 3.5, 4.5, 9.5, 3.5

Step-by-step explanation:

Look at the image below to see where A, B, C, and D are.

A + B = 8

B + D = 8

A + C = 13

C - D = 6

we can see that A + B = 8 and D + B = 8,  so A = D

substitute this into A + C = 13 to get D + C = 13

from D + C = 13 we can get D = 13 - C

plug this into C - D = 6 to get C - (13 - C) = 6

2C - 13 = 6

2C = 19

C = 9.5

Now we can find D = 13 - C = 13 - 9.5 = 3.5

D = 3.5

Now we can find A = D = 3.5

A = 3.5

Now we can find B from A + B = 8

B = 8 - A = 8 - 4.5 = 4.5

B = 4.5

You might be interested in
Determine which best describes a shape shown
nikdorinn [45]
Kite if u picture a kite it’s that shape none of the others would look like that shape
3 0
3 years ago
(f) how many ways are there to place a total of m indistinguishable balls into n distinguishable urns, with some urns possibly e
Blizzard [7]
The number of different ways to distribute m indistinguishable balls into n distinguishable urns is given by C(m+n-1,n-1).

For example, the number of ways 6 ball can be placed in 7 boxes is given by C(6+7-1, 7-1) = C(12, 6) = 924 ways.
4 0
3 years ago
Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enoug
borishaifa [10]

The true option about the randomized design is (c) Betty should prepare all 60 cookies.

Each cookie will receive a number.

The numbers will be written on slips of paper, put into a hat, and shuffled well.

The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.

The given parameters are:

n=60

batches=4

cookies=15 ---- the number of cookies in each batch

Temperature=300,325,350,375.

To randomly assign the cookies to the given temperatures, all cookies have to be subjected to the same conditions (except for the difference in the temperature).

<h3>What is the temperature?</h3>

Normal human body temperature is the typical temperature range found in humans. The normal human body temperature range is typically stated as 36.5–37 °C. Human body temperature varies.

This means that she can bake all the cookies at once at different temperatures while noting down the cookies with a given number.

Hence, the true option is (c)

Read more about randomization at:

brainly.com/question/20046524

#SPJ1

6 0
2 years ago
A cable runs from the top of a pole to a spot on the ground 10 feet from the base of the pole. The pole makes a right angle with
Amanda [17]
Use the cos ratio to figure this out. You have the length of the hypotenuse and the length of the leg on the ground. The hypotenuse is 20 and the leg is 10. The cos ratio says that cosA = side adjacent/hypotenuse. So fill in the blanks here: cosA = 10/20...cosA=1/2. In your calculator, you will enter inverse cos(.5) to find that the angle in question is 60 degrees. To find the inverse function on your calculator, press the "2nd" button and the "cos" then in the (), enter ".5".
7 0
3 years ago
F(x) = -4x2 + 12x – 9
DochEvi [55]

Answer:

D = 0

The graph has 1 x-intercept

Step-by-step explanation:

Given

f(x) = -4x^2 + 12x - 9

Required

- Discriminant of f

- Number of x intercepts

Let D represent the discriminant;

D is calculated as thus

D = b^2 - 4ac

Where a, b and c are derived from the following general format;

f(x) = ax^2 + bx +c

By comparing f(x) = ax^2 + bx +c with f(x) = -4x^2 + 12x - 9

We have

f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9

Solving further;

a = -4\\b=12\\c=-9

So, D can now be calculated;

D = b^2 - 4ac becomes

D = 12^2 - 4 * -4 * -9

D = 144 - 144

D = 0

Hence, the discriminant of f is 0

From the value of the discriminant, we can determine the number of x intercepts of the graph;

When D = 0, then; there exists only one x-intercept and it as calculated as thus

x = \frac{-b}{2a}

Recall that

a = -4\\b=12\\c=-9

So, x = \frac{-b}{2a} becomes

x = \frac{-12}{2 * -4}

x = \frac{-12}{-8}

x = \frac{12}{8}

x =1.5

8 0
3 years ago
Other questions:
  • A right △ABC is inscribed in circle k(O, r). Find the radius of this circle if:
    11·1 answer
  • What is 41% of 900? Round to the nearest hundredth
    10·1 answer
  • Help me plz
    12·1 answer
  • 12 is 4% of what number
    8·2 answers
  • If 3x+5=14 what is x
    11·2 answers
  • Does anyone know the answer?
    5·1 answer
  • On a school field​ trip, the bus travels 12 miles in 15 minutes. Find the speed of the bus in miles per hour. Use the equation d
    7·1 answer
  • In the accompanying diagram of circle O, chords AB and CD intersect at E and
    7·1 answer
  • Find 10% of £320. This is supposed to be handed in by friday oops
    13·1 answer
  • What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!