Answer:
9.833333
Step-by-step explanation:
1.To find the triangle area is base x height : 4.33 x 5=21.65
Perimeter : 5+5+5=15
2. 6•3=18+(3•2)=18+6=24=area
16=perimeter
3. Not sure
4. 12•17=204=area
Perimeter : 13+17+17=47
Hoped I helped!
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
You would multiply the students by the price (12*10=120) then multiply chaperones by price (6*15=90) then add both prices together to get 210. Then you would subtract 210 from 380 to get how many boys are in the class. 380-210=170. Since each student cost 10 so you would divide 170/10=17. There would be 17 boys in your class.
a) The formula for compound interest is:
Total = starting amount x (1 + interest rate)^ number of years
b)
Using the given information you have:
1200 = 500 x (1+0.045)^x where x is the length of time you want to find.
1200 = 500 (1.045)^x
Divide both sides by 500:
2.4 = 1.045^x
Use natural logarithms:
ln(1.045^x) = ln(2.4)
Solve for x:
X = ln(2.4) / ln(1.045)
X = 19.889 years ( Round the answer as needed).
