So Angel hikes at 2.4 miles per hour. This says that in one hour he hikes 2.4 miles. In 1/3 of an hour then he would hike 1/3 of 2.4 miles, which is 2.4/3, or 0.8.

4 0

3 years ago

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The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. Find the measure of ea

DIA [1.3K]

Answer: the third angle is 106 degrees.

The base angles are 37 degrees each.

Step-by-step explanation:

In an isosceles triangle, the base angles are equal.

Let x represent the measure of each of the base angles.

The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be

(2x + 32) degrees

The sum of the angles inna triangle is 180 degrees. It means that

x + x + 2x + 32 = 180

4x = 180 - 32

4x = 148

x = 37

The third angle is

2x = 32 = (2 × 37) + 32

= 74 + 32 = 106

5 0

3 years ago

Can someone please help find X.

Vera_Pavlovna [14]

Answer:

32°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the trig function relating angles to the opposite and adjacent sides of the triangle is ...

Tan = Opposite/Adjacent

The side opposite the angle x is shown as having measure 5; the side adjacent has measure 8. Putting all this in the above equation gives ...

tan(x) = 5/8

To find the angle from the value of the tangent, you use the inverse of the tangent function. The name of that is the <em>arctangent</em> function. It is often written as tan⁻¹(x) and often accessible on your calculator using a "second function" key. Some calculators, like the one shown in the attachment, recognize the arctan function name.

x = arctan(5/8) ≈ 32°

The value of x rounded to the nearest whole degree is 32°.

4 0

4 years ago