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k0ka [10]
3 years ago
9

Can someone help me with this one please? Also give me the steps. Thanks :)

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0
Okay, so lets look at the right triangle portion of the question. We can use the trigonometric ratios in order to find side a, which is opposite of the 32 degree angle. 

We have three options, SOH CAH and TOA. 

We will use SOH, or sine opposite over hypotenuse because we are trying to find the opposite side and we have the hypotenuse length.

So we set it up as Sin(32) = X/17. Multiple both sides by 17 to solve for X

You end up with X = 9 cm (when rounded)

Meaning that the measure of side a is about 9 cm
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2(5-8x-9x)+4(7x+7)=14
xenn [34]

Step-by-step explanation:

if you are solving for X' it is X=4

8 0
3 years ago
Question in picture please help!
EleoNora [17]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many
Pani-rosa [81]

780 students prefer chocolate milk.

Step-by-step explanation:

Let,

the total percentage = 100%

Students who prefer plain white milk = 35%

Students who prefer chocolate milk = 100 - 35 = 65%

Number of students = 1200

No. of students who prefer chocolate milk = 65% of total students

No. of students who prefer chocolate milk = \frac{65}{100}*1200

No. of students who prefer chocolate milk = \frac{78000}{100}\\

No. of students who prefer chocolate milk = 780

780 students prefer chocolate milk.

Keywords: percentage, subtraction

Learn more about subtraction at:

  • brainly.com/question/11253316
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#LearnwithBrainly

4 0
3 years ago
Write a rule for each pattern. Then use your rule to find the next two terms in the pattern. The numbers are: 1, 3, 6, 10, 15, 2
Leya [2.2K]
Triangular Number Sequence

This is the Triangular Number Sequence:

<span>1, 3, 6, 10, 15, 21, 28, 36, 45, ...</span>

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can 
find the next number of the sequence.

A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

<span><span>The rectangles are n high and n+1 wide</span><span>and <span>xn</span> is how many dots in the triangle (the value of the Triangular Number n)</span></span>

And we get (remembering we doubled the dots):

<span>2xn = n(n+1)</span><span>xn = n(n+1)/2</span>

<span>Rule: xn = n(n+1)/2</span>

Example: the 5th Triangular Number is

x5 = 5(5+1)/2 = 15

Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!! WILL GIVE BRAINIEST + 30 POINTS!!
Goryan [66]

Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
  4. By SAS Congruence Theorem.
  5. By CPCTC.

<h3>What is a Rectangle?</h3>
  • A rectangle is a quadrilateral.
  • All four angles in a rectangle are right angles.
  • The opposite sides of a rectangle are parallel and congruent to each other.

Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.

Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.

In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
  4. By SAS Congruence Theorem.
  5. By CPCTC.

Learn more about properties of rectangle on:

brainly.com/question/2835318

6 0
2 years ago
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