All categories

2 years ago

GETS BRAINLIEST AND 11 PTS!!

Mathematics

1 answer:

MA_775_DIABLO [31]2 years ago

5 0

Mike travelled 16 + 30 = 46 miles.

To find how far Henry travelled we use the Pythagoras Theorem

x^2 = 30^2 + 16^2 = 1156

x = sqrt 1156 = 34 miles

Therefore the answer is 46 - 34 = 12 miles

Mike travelled 12 more miles than Henry.

You might be interested in

The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of

Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

$\cos(60 \degree) = \frac{altitude}{hypotenuse}$

$\cos(60 \degree) = \frac{altitude}{8}$

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

$\sin(60 \degree) = \frac{4 - y}{y}$

$y\sin(60 \degree) = 4 - y$

$y\sin(60 \degree) + y= 4$

$(\sin(60 \degree) + 1)y= 4$

$y= \frac{4}{\sin(60 \degree) + 1}$

$y = 16 - 8 \sqrt{3}$

y=1.857

The diameter is 2y

$d = 32 - 16 \sqrt{3}$

=2(1.875)

The length of a Diameter is 3.714

7 0

2 years ago

Read 2 more answers

Its a math problem Please help me !!! For the data sets below, which of the following statements is FALSE?

Evgesh-ka [11]

Answer:

fist bubble i am pretty sure

Step-by-step explanation:

7 0

1 year ago

Which one is equivalent

Elza [17]

The answer would be C) 2x + 10.

Expand ( -3x + 5x + 10 )

Simplify ( 2x + 10 ).

7 0

2 years ago

Read 2 more answers

If the number is divisible by 6 color it brown, all other numbers color orange

a_sh-v [17]

Where is the question?

7 0

2 years ago

Please help ASAP<br>the answer are within the pic

DerKrebs [107]

Hey Ive taken this assesment. The answer is 55

6 0

2 years ago