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1 year ago

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

Mathematics

2 answers:

rodikova [14]1 year ago

4 0

Answer:

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]1 year ago

4 0

Answer:

Step-by-step explanation:

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Triangle ABC is congruent with triangle CDA Find the value of the pronumeral x.

brilliants [131]

Answer:

x = 25

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

That is ∠ D and ∠ B are corresponding angles and congruent, thus

4x - 20 = 2x + 30 ( subtract 2x from both sides )

2x - 20 = 30 ( add 20 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

6 0

2 years ago

A container of coffee is 1/6 full. That container contains 2/3 of a pound of coffee write a division expression that represents

Marizza181 [45]

Let us assume total capacity of the container = x pounds.

Container contains 1/6th coffee of total x pounds, that is x/6 pounds.

We also given that 1/6th part is equal to 2/3 of a pound.

So, we could setup an equation now.

x/6 pounds equals 2/3 of a pound.

$\frac{x}{6} = \frac{2}{3}$

Dividing both sides by 1/6, we get

$\frac{x}{6}$ ÷ $\frac{1}{6}$ = $\frac{2}{3}$ ÷ $\frac{1}{6}$ .

Therefore, x = $\frac{2}{3}$ ÷ $\frac{1}{6}$

Division expression that represents the capacity of the container = 2/3 ÷ 1/6.

4 0

2 years ago

I need help with this

Effectus [21]

Answer:

The answer is B

Step-by-step explanation:

5 0

2 years ago

Mr. Hughes gave 5/14

kow [346]

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

$\frac{5}{14} + \frac{2}{3}(\frac{9}{14})$

As $\frac{9}{14}$ is the remained that his son did not get. So

$\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}$

Fraction his wife got:

$1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}$

If his wife got $900, what were his savings?

Total savings are x, wife got $\frac{9}{42}$ of x. So

$\frac{9x}{42} = 900$

$9x = 900*42$

$x = \frac{900*42}{9}$

$x = 100*42$

$x = 4200$

His savings were of $4,200.

5 0

2 years ago

Use the point-slope form linear equation given.

Agata [3.3K]

y-3=3(x+1)

opening the bracket

y-3=3x+3

y=3x+3+3

equation of the line in the form y=mx+c;

y=3x+6

therefore gradient=3

parallel lines have same gradient therefore gradient of the other line is 3

y--3/x-0=3

y+3=3(x-0)

y+3=3x-0

y=3x-3.

8 0

2 years ago