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aniked [119]
2 years ago
9

Suppose a triangle has two sides of length 3 and 4 and that the angle

Mathematics
2 answers:
rodikova [14]2 years ago
4 0

Answer:

B

Step-by-step explanation:

We can use the law of cosinse:

c^{2} = a^{2} + b^{2} − 2ab cos(C)

Suppose the two sides are a and b, and the angle betweent them is C.

c^{2} = 3^{2} + 4^{2} − 2*3*4 cos(60)

We can simplify this to get c^{2} =25-12=13

c=\sqrt{13}

Answer choice B

frozen [14]2 years ago
4 0

Answer:

Step-by-step explanation:

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A group of 31 friends gets together to play a sport. First, people
Umnica [9.8K]

The number of teams she can make is 10.

<h3>How many teams can she make?</h3>

Division is the process of putting a number into equal groups using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. Other basic mathematical operations include addition, subtraction, multiplication.

The number of teams that can be made can be determined by dividing the total number of friends by the total number of players in each team. The whole number that is derived from the division process is the number of teams teams that can be made given the total number of friends and the number of people that have to be in each group.

Number of teams she can make = total number of friends / number of people in each group

31 / 3 = 10 remainder 1

So, only 10 teams can be made. one person would not be on any team.

To learn more about division, please check: brainly.com/question/13281206

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5 0
1 year ago
Find the measure of
maks197457 [2]

Answer:

119 is the answer

Step-by-step explanation:

use sum of angles on a straight line

5 0
3 years ago
Read 2 more answers
SUBSTITUTING INGREDIENTS
tatiyna

Answer:

1.      1 tablespoon Dijon mustard

2.     Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening

3.     2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt

3.      One teaspoon of dried basil leaves

4.      Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch

Step-by-step explanation:

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3 0
3 years ago
9 stores is 3% of how many stores?
hichkok12 [17]
Hello there! We can solve this question by writing and solving a proportion. Set it up like this:

9/x = 3/100.

This is because 9 is 3% of x number of stores and percents are parts of 100. Setting it up like this will help us get the correct answer. Cross multiply the values . 9 * 100 is 900 and 3 * x = 3x. You get 900 = 3x. Now, divide each side by 3 to isolate the x. 3x/3 cancels out the x. 900/3 is 300. There. x = 300. 9 stores is 3% of 300 stores.
3 0
3 years ago
Read 2 more answers
Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
Sladkaya [172]

Given:

The quadratic equation is

-2x^2-y+10x-7=0

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

We have,

-2x^2-y+10x-7=0

It can be written as

-2x^2+10x-7=y

y=-2x^2+10x-7           ...(i)

Here, a=-2,b=10,c=-7.

\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}

\dfrac{-b}{2a}=\dfrac{-10}{-4}

\dfrac{-b}{2a}=\dfrac{5}{2}

Putting x=\dfrac{5}{2} in (i), we get

y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7

y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7

y=\dfrac{-50}{4}+25-7

y=\dfrac{-25}{2}+18

On further simplification, we get

y=\dfrac{-25+36}{2}

y=\dfrac{11}{2}

So, the vertex of the given quadratic equation is \left(\dfrac{5}{2},\dfrac{11}{2}\right).

Therefore, the correct option is A.

3 0
2 years ago
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