Find the missing measurement for each figure.

ted wants to buy a skateboard that costs $59.00, but is on sale for 30% off. How much money will he save

STatiana [176]

Answer:

$17.70

Step-by-step explanation:

Hi,

What you want to do is to find 30% of $59

First, you convert 30% into decimal form by dividing it by 100

30%=0.3

Next, you want to find 30% of 59, so what you do is you take the new decimal form and multiply it by 59

0.3×59=17.7

Ted is saving $17.70

6 0

3 years ago

96/100 into simplest form

Reptile [31]

96/100 into simplest form is 24/25. I hope this helps.

5 0

3 years ago

Read 2 more answers

Triangle ABC is given where m(angle)A=33 degrees, a=15 in., and the height, h, is 9 in. How many distinct triangles can be made

4vir4ik [10]

Answer:

One triangle

Step-by-step explanation:

Find the measures of the triangle ABC

Let

D ----> intersection point of the height triangle ABC with the segment AB

step 1

Find the measure of angle B

In the right triangle BCD

$sin(B)=\frac{CD}{BC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(B)=\frac{9}{15}$

using a calculator

$B=sin^{-1}(\frac{9}{15})=36.9^o$

step 2

Find the length of segment DB in the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute

$15^2=9^2+DB^2$

$DB^2=15^2-9^2$

$DB^2=144\\DB=12\ in$

step 3

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$A+B+C=180^o$

substitute the given values

$33^o+36.9^o+C=180^o$

$C=180^o-69.9^o=110.1^o$

step 4

Find the length side AC

In the right triangle ACD

$sin(A)=\frac{CD}{AC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(33^o)=\frac{9}{AC}$

solve for AC

$AC=\frac{9}{sin(33^o)}=16.5\ in$

step 5

Find the length of segment AD

In the right triangle ACD

$tan(A)=\frac{CD}{AD}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(33^o)=\frac{9}{AD}$

$AD=\frac{9}{tan(33^o}}=13.9\ in$

step 6

Find the length side AB

$AB=AD+DB$

substitute the given values

$AB=13.9+12=25.9\ in$

step 7

The measures of triangle ABC are

$A=33^o\\B=36.9^o\\C=110.1^o\\AC=16.5\ in\\CB=15\ in\\AB=25.9\ in$

so

The measurements of the ABC triangle are unique

therefore

Only one triangle can be constructed with the given measurements

8 0

3 years ago

If $1,000 is invested at an

xz_007 [3.2K]

Answer:

probably 5 or so?

Step-by-step explanation:

I'm really not to sure myself but its around the 5-10s but if you're rounding at the nearest 430s it would be around the 20-30s or so if you ignore the order of operations just from just by doing mental maths I can conclude this with certainty.

4 0

3 years ago

- Varun drove to work this morning. It took

babymother [125]

Answer:

See attached graph

Step-by-step explanation:

The graph of distance from home as a function of time starts at the origin of coordinates (0,0) since at time zero minutes Varun is at home.

Then we represent his driving at constant speed (although it has not been specified in the problem) as a line with positive slope equal to his speed, that goes on for the first five minutes. After that, he reaches the traffic light that keeps him at the same distance from home for three minutes (notice the line representing the distance covered is flat from minute 5 to minute 8, while he is not moving).

Then he starts moving again (we assume at the same speed as before - so the line representing his position is again a line with positive slope and with the SAME inclination as that which represents the first 5 minutes of his trip.

The line ends at minute 15 which is the time it took him to get to work.

6 0

3 years ago