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liubo4ka [24]
2 years ago
12

Help me now !!!!!!!!!!!!!!!!

Mathematics
1 answer:
miskamm [114]2 years ago
3 0

In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

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

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

5k + 20 + 7k + 40 = 180

12k + 60 = 180

12k = 180 -60

12k = 120

k = 10

In the second diagram:

The sum of the two interior angles is equal to the exterior angle.

40 + 12k + 10 = 8k + 80

4k = 30

k = 30/4 = 15/2

Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

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Naya [18.7K]

Answer:

\frac{51}{8} cups.

Step-by-step explanation:

It is given that the ingredients for making chocolate cookies are \frac{3}{4} cup of brown sugar, \frac{1}{4} cup of white sugar, \frac{3}{2} cup of butter, \frac{11}{8} cup of flour, and \frac{5}{2} cup of chocolate chips.

Now, we have to calculate the total number of cups of ingredients needed in making chocolate cookies.

So, it will be given by

(\frac{3}{4} + \frac{1}{4} + \frac{3}{2} + \frac{11}{8} + \frac{5}{2}) cups

= \frac{3 \times 2 + 1 \times 2 + 3 \times 4 + 11 + 5 \times 4}{8} cups

= \frac{51}{8} cups. (Answer)

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3 years ago
Convert (10111)2 into decimal number system​
Eva8 [605]

Answer:

(10111)_2 = (23)_{10}

Step-by-step explanation:

(10111)_2 = (1 \times 2^4) + (0 \times 2 ^3) + (1 \times 2^2) + (1 \times 2) + (1 \times 2^0)

            = 16 + 0 + 4 + 2 + 1\\=23

4 0
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Evaluate the expression 5+3​
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8 0
2 years ago
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What are three consecutive integers whose product is 480 more than their sum?
Natali [406]

Answer:

The three numbers are 7 8 and 9

Step-by-step explanation:

Givens

  • Let the first number be n - 1
  • Let the second number be n
  • Let the third number = n + 1

Equation

(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480

Solution

Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1

Multiply the second integer by the result of the first and third: n (n^2 - 1)

Add the three integers together: (x - 1) + (n - 1) + n = 3n  Combine these 2 steps

n(n^2 - 1) - 3n = 480 Remove the brackets

n^3 - n - 3n = 480

n^3 - 4n = 480

n^3 - 4n - 480 = 0

Graph

The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.

Answer

n - 1 = 7

n = 8

n + 1 = 9

Check

Product 7*8*9 = 504

Sum = 7 + 8 + 9 = 24

504 - 24 = 480 Which checks.

4 0
3 years ago
I NEED HELP ASAP write an equivalent unit rate to running 5/4 a mile in 9 minutes
svetlana [45]

Answer:

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Hence, option a is correct.

Step-by-step explanation:

Given

Running of 5/4 a mile in 9 minutes.

To determine

The unit rate = ?

Given that the running 5/4 a mile in 9 minutes.

i.e.

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Miles covered in 1 minute = 1.25/9

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Therefore, we conclude that:

The unit rate is 0. 14 miles per minute.

Hence, option a is correct.

6 0
2 years ago
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