MATHEMATICS HIGH SCHOOL

Margaret drove to a business appointment at 60 mph. Her average speed on the return trip was 50 mph. The return trip took one fifth 1 5 hr longer because of heavy traffic. How far did she travel to the​ appointment?

Answers

Answer 1
Answer:

She traveled 60 miles to the appointment place.

Step-by-step explanation:

Let the distance to appoint be s and time for appointment trip be t.

The return trip took one fifth hr longer because of heavy traffic.

Time for return trip = t + one fifth hour = (t + 0.2) hr

Speed of appointment trip = 60 mph

Speed of return trip = 50 mph

We have

                  s = 60 t     and

                  s = 50 (t + 0.2)

                   s = 50 t + 10

                   60t = 50 t + 10

                     10 t = 10

                       t = 1 hour

Distance to appointment = 60 t = 60 x 1 = 60 miles

She traveled 60 miles to the appointment place.  

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10 kilometers is about
6 miles
B
6 feet
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60 feet

Answers

6 miles because 1km is .6214 miles, 10x.6214 ≈ 6
Your answer is 6miles !

The length of one side of an equilateral triangle is 6 square root 3 meters. Find the length of one altitude of the triangle.

Answers

The altitude of the equilateral triangle  with sides 6√3 meters is 9 meters.

Properties of equilateral triangle

  • All the sides are equal
  • All the angles are equal(60 degree each)

The length of the sides are 6√3 meters each. Recall triangles has three sides.

Therefore, the altitude or height of the triangle can be found as follows:

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other 2 legs.

Therefore,

h² = (6√3)² - (1 /2 (6√3))²

h² = 108 - 27

h = √81

h = 9 meters

Therefore, the altitude of the triangle is 9 meters.

learn more on triangle here: brainly.com/question/8224697?referrer=searchResults

Answer:

9 m

Step-by-step explanation:

The formula of an altitude of an equilateral traingle with side a:

h=(a\sqrt3)/(2)

We have a=6\sqrt3

Substitute:

h=(6\sqrt3\cdot\sqrt3)/(2)=((6)(\sqrt3)^2)/(2)

Use \left(√(a)\right)^2=a

h=((6)(3))/(2)=(18)/(2)=9

Simplifying square root of 96

Answers

To do this you need to find the prime factors of 96 ( 2·2·2·2·2·3) now, the numbers that are the same pair up to make one of the numer. So 2·2= 2 and the other 2·2= 2 also. Now bring the new 2s to the left of the square root sign and multiply to get 4. now you have 4√2·3 and to finish the equation you just multiply 2 and 3 to get:

4√6 as your answer.

Find two numbers whose product is -140 and sum is -4.

Answers

\left\{\begin{array}{ccc}x\cdot y=-140\nx+y=-4& y=-x-4\end{array}\right\n\nsubstitute:\n\nx\cdot(-x-4)=-140\n-x^2-4x+140=0\n\n\Delta=(-4)^2-4\cdot(-1)+140=16+560=576;\ \sqrt\Delta=√(576)=24\n\nx_1=(4-24)/(2\cdot(-1))=(-20)/(-2)=10;\ x_2=(4+24)/(2\cdot(-1))=(28)/(-2)=-14\n\ny_1=-10-4=-14;\ y_2=-(-14)-4=14-4=10\n\nAnswer:10\ and\ -14.
{xy=-140, x+y+4=0)
(xy=-140, y=-x-4)
x=10, y=-14
x=-14, y=10

Which measure is not the area of a circle with radius 20 mm?

Answers

Given:
radius = 20 mm

Area of a circle = π r²
A = 3.14 * (20mm)²
A = 3.14 * 400mm²
A = 1,256 mm²

400mm² ; 628.57mm² ; and mm² ARE NOT THE AREA OF A CIRCLE

Answer:

thx for the answer

Step-by-step explanation:

Ac=2(5a+1)
Bd=2(a+1)

Answers

2(5a+1)=2(a+1)10a+5=2a+2(10a-2a)+5=(2a-2a)+28a+5=28a+(5-5)=(2-5)8a=-3a=-3/8
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