Are all non-perfect squares numbers prime numbers?

Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.

Delvig [45]

Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

Explanation:

The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

$\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}$

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

$\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}$

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

$\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}$

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

$\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

$\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

3 0

3 years ago

Riley is also making boxes to hold baseballs. She wants the dimensions of her boxes

Sergio039 [100]

The volume of the box is 105 cubic units.

<h3>What is volume of cuboid ?</h3>

The amount of space inside a cuboid is calculated using the term "cuboid volume." Having length, breadth, and height, the cuboid is a three-dimensional shape. A shape with a certain length, breadth, and height will be obtained if we start with a rectangular sheet and keep stacking them. Length x Width x Height is the formula for calculating the cuboid's volume.

Given that : The dimensions of her boxes to be 4 x 6 x 3 units.

The volume of cuboid=7×5×3=105 cubic units.

so ,The volume of the box is 105 cubic units.

To learn more about the volume of the cuboid visit:

brainly.com/question/23118276.

#SPJ9

4 0

1 year ago

Express the area of the entire rectangle. Your answer should be a polynomial in standard form.

Mrac [35]

Answer: please mark me the brainlest the area is 60 in squared

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

An investment of P=1237.50 is compounded annually with a 6.75% APR . Find the value of the investment after 5 and a half years.

Ber [7]

Answer:

Under compound interest, not only does the principal generate interest, so does the previous accumulated interest. The future value F of P dollars compounded annually for t years with an annual percentage rate (APR) r expressed as a decimal is .

5 0

3 years ago

Read 2 more answers

Find the sun x-2/x^2 + 1 + x+3/x^2+1

marta [7]

3. 2
2x. + 2x + 1
/ x2 Im sorry if its wrong!

6 0

3 years ago