How does 48 come from?

Jane needs to memorize words on a vocabulary list for German class. She has memorized 8 of the words, which is one-fourth of the

Anna35 [415]

Answer:

x = 32 words

Step-by-step explanation:

Okay...let's get solving! :D Firstly, we

let the word list be x and convert the long paragraph into an equation that we can use.

one-fourth = 1/4

Memroized = 8 words

$x * \frac{1}{4} = 8$

Thus, we solve the equation.

x = 32 words

7 0

3 years ago

Suppose a triangle has two sides of length 42 and 35, and that the angle between these two sides is 120 degrees. What is the len

FrozenT [24]

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=42, B=120°, and c=35. Plugging in the values:

b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).

Simplifying gives:

b^2 = 4459.

Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).

This means that the length of the third side is 66.78 units!!!

7 0

3 years ago

What is the product? 2x(x-4) O 2x2-4 O 2x2-8 O 2x2 - 4x O 2x2-8x

kherson [118]

Answer:

the answer would be 2x^2-4x

4 0

3 years ago

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Trian

kaheart [24]

The length of line segment BC is 10.5 inches.

Given that

The equation tan(55 degrees) equals 15/b, which can be used to find the length of Line segment AC.

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

We have to determine

What is the length of Line segment AC?

According to the question

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

Here, BC is not the hypotenuse of the right triangle ABC.

The length line segment AC is given by,

In triangle ABC

$\rm Tan\theta = \dfrac{Perpendicular}{Base}$

Where $\rm tan\theta$ = 55 degrees, Perpendicular = 15 and base is b.

Substitute all the value in the equation

$\rm Tan\theta = \dfrac{Perpendicular}{Base}\rm\\\\ Tan55= \dfrac{15}{b}\\\\b = \dfrac{15}{Tan55}\\\\b = \dfrac{15}{1.42}\\\\b = 10.5 \ inches$

Hence, the length of line segment BC is 10.5 inches.

To know more about Trigonometry click the link given below.

brainly.com/question/13350002

7 0

2 years ago

He price of an item has been reduced by 15%. The original price was $35.

Liono4ka [1.6K]

15% of $35 is 5.25. 35- 5.25 = $29.75

7 0

3 years ago