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2 years ago

If you spin the spinner below, what is the probability that you will land on a 2 ?

Mathematics

1 answer:

REY [17]2 years ago

5 0

What are all the numbers on the spinner

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Find the volume of the triangular prism.

pychu [463]

Find the area of the triangle shaped faces. The area of a triangle is b•h/2
7•2=14/2=7
then multiply it by 4.5,

the area is 31.5 in^2

3 0

3 years ago

Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

3 years ago

Help me solve this problem step by step because I’m having a hard time

jarptica [38.1K]

Answer:

x=3, y=10

Step-by-step explanation:

in triangle KLN all the angles are equal making it an equilateral trianlge. GIven one side being 6, we know all the sides are 6 including the side with the expression y-4.

this means

y-4=6

y=10

Using the converse of the base angles theorem(meaning we know the base angles are congruent so the two sides are conguent), we know that

6=x+3

x=3

4 0

3 years ago

Please help me with this question

WINSTONCH [101]

Answer:

it is not linear

Step-by-step explanation:

5 0

3 years ago

Alex has 70% of her weekly paycheck

drek231 [11]

Answer:

$50

Step-by-step explanation:

Weekly paycheck to be deposited = 70%

This week's deposit = $35

Therefore, we have to determine how much is Alex weekly paycheck.

To find this, we have to use unitary method.

According to the Question

Total weekly paycheck = (total deposit/ percentage to be deposited)

Therefore, Weekly paycheck = ($35/70%)

Weekly paycheck = $50.

It means Alex gets $50 per week.

4 0

3 years ago