3. Simplify 315-217+45 - 28 . (1 point)<br> 2/12<br> O 212<br> O 615-417<br> 6/10 -4114

99 times 5 distributive property

Juli2301 [7.4K]

Answer:

495

Step-by-step explanation:

expressing 99 as 90 + 9 , then

5 × 99

= 5(90 + 9) ← multiply each term in parenthesis by 5

= 450 + 45

= 495

3 0

1 year ago

A right △ABC is inscribed in circle k(O, r). Find the radius of this circle if:

natta225 [31]

We have been given that a right △ABC is inscribed in circle k(O, r).

m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.

First of all, we will draw a diagram that represent the given scenario.

We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.

We will use sine to find side AB.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(30^{\circ})=\frac{AC}{AB}$

$\text{sin}(30^{\circ})=\frac{18}{AB}$

$AB=\frac{18}{\text{sin}(30^{\circ})}$

$AB=\frac{18}{0.5}$

$AB=36$

Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is $\frac{36}{2}=18$ .

Therefore, the radius of given circle would be 18 cm.

8 0

4 years ago

To join the gym there is a $100 annual fee and a $7 monthly fee for each class you attend.What is the total cost to be a member

marusya05 [52]

Answer:

$184, assuming attendance of one course (not class).

Step-by-step explanation:

Total cost for one year (x) = $100 + ($7/ month)x, where x is the number of months.

As there are 12 months in one year:

Total cost (12) = $100 + ($7/monthly)(12) = $184

5 0

4 years ago

What is 4.5 multiply 3.5

artcher [175]

Answer:

The answer for 4.5 to multiply 3.5 is 15.75

8 0

3 years ago

Read 2 more answers

What is the difference in area covered by a single 3 inch windshield wiper operating with a central angle of 138 degrees compare

Elena-2011 [213]

Answer:

38.9 square inches.

Step-by-step explanation:

We are asked to find the difference in area covered by a single 3 inch windshield wiper operating with a central angle of 138 degrees compared to a pair of 5 inch wipers operating together each having a central angle of 114 degrees.

We will use area of sector formula to solve our given problem as:

$\text{Area of sector}=\frac{\theta}{360}\times \pi r^2$ , where, r represents radius and theta represents central angle.

Let us find area of sector with central angle 140 degree and radius 3 inch.

$\text{Area of sector}=\frac{138}{360}\times \pi (3)^2$

$\text{Area of sector}=\frac{138}{360}\times 9\pi$

$\text{Area of sector}=10.83849$

Now, we will find area of sector with central angle 114 degree and radius 5 inch and multiply by 2 as:

$\text{Area of sector}=2(\frac{114}{360}\times \pi (5)^2)$

$\text{Area of sector}=2(\frac{114}{360}\times 25\pi)$

$\text{Area of sector}=\frac{114}{360}\times 50\pi$

$\text{Area of sector}=49.74188$

Let us find difference of area as shown below:

$\text{Difference of areas}=49.74188-10.83849$

$\text{Difference of areas}=38.90339$

$\text{Difference of areas}\approx 38.9$

Therefore, the difference in area covered is approximately 38.9 square inches.

8 0

3 years ago

3. Simplify 315-217+45 - 28 . (1 point) 2/12 O 212 O 615-417 6/10 -4114