1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
3 years ago
13

Find the missing side. round to the nearest tenth.

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

You might be interested in
PLEASE HELP BRAINLIES+20 POINTS ASAP!!!!!!!!!!
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Length = L.

Width = 2L-3.

A = L * W = 170.

L * (2L-3) = 170.

2L^2 - 3L - 170 = 0,

L = (-B +- Sqrt(B^2-4AC))/2A.

L = (3 +- Sqrt(9 + 1360))/4,

L = (3 +- 37)/4 = 0.75 +- 9.25 = 10, and -8.5. In.

Use positive value: L = 10 In.

3 0
3 years ago
Read 2 more answers
A new pair of skates cost $75. They are on sale for 10% off. Sales tax is 8%. If you purchased the skates, how much would you pa
Aleonysh [2.5K]

Answer:

72.9

Step-by-step explanation:

10% off 75 gets you to 67.5

8% more than 67.5 is 72.9

5 0
3 years ago
Which characteristics describe the scatterplot? Check all that apply.
denpristay [2]

Answer:

1. Negative Correlation

3. Strong Correlation

5. Linear

Step-by-step explanation:

We have been given a scatter-plot. We are asked to choose the characteristics of the given scatter-plot.

Upon looking at our given scatter-plot, we can see that as the values of x are increasing values of y are decreasing.

We know that the relationship between two variables in which one variable increases as the other decreases is known as negative correlation. Therefore, the given scatter-plot represents negative correlation and 1st option is a correct choice.

We can also see that the slope of the line connecting all data points is approximately -1, which represents a strong negative correlation, therefore, 3rd option is correct as well.

If we draw a line on our given scatter-plot, it will connect all the data points. Therefore, the given scatter-plot has a linear correlation and 5th option is correct as well.

6 0
3 years ago
Read 2 more answers
Proving trapezoid theorems Geometry
Artist 52 [7]

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

\overline {BD} \cong \overline {CA} by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement {}                   Reason

ABCD is a trapezoid {}  Given

\overline {BA} \cong \overline {CD}  {}                   Given

\overline {BC} \parallel \overline {AD}   {}                   Definition of a trapezoid

ABCD is an isosceles trapezoid  {}    Left and right leg are equal

∠BAD ≅ ∠CDA  {}          Base angle of an isosceles trapezoid are congruent

\overline {AD} \cong \overline {AD}   {}                  Reflexive property

ΔABD ≅ ΔACD   {}         By SAS rule of congruency

\overline {BD} \cong \overline {CA}   {}                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

8 0
3 years ago
Read 2 more answers
If angle 1 is 110°, what would the other angle measures have to be in order for m || n and
ra1l [238]

Answer:

Angle 2: 110 degrees, 1 and 2 would have to be the same for the lines to be parallel

Angle 3: 70 degrees angle 3 would have to be the complement to angle 1, so 1+3=180 and 70*3=180, so 3=70 degrees

Angle 4: 70 degrees, 3 and 4 have to be the same opposite angles for the lines to be parallel

8 0
2 years ago
Other questions:
  • Which of the following orderd pairs is a solution of 3x+2y=-19<br>7,-1<br>6,-7<br>-6,-7<br>-7,1​
    10·1 answer
  • Consider the circle with a 4 centimeter radius. If the length of major arc RT is 64 9 π, what is the measure of ∠RST?
    6·2 answers
  • Why no one helping me please help please please please please please​
    5·1 answer
  • Is (1, 2) solution for this system of inequalities ?
    11·1 answer
  • It has long been reported that human body temperature follows a normal distribution with a mean of 98.6 degrees Fahrenheit. Ther
    9·1 answer
  • Please help find slope :(((
    7·2 answers
  • one strand of lights for a Christmas tree 250 light bulbs. If 20% of the light bulbs are green how many light bulbs on the stran
    13·1 answer
  • Solve<br> 3x^2= 147<br> x=<br> X=
    5·2 answers
  • Emma has 100 to spend at the pet store she needs to buy one bag of dog food and 2 chew toys Will Emma have enough money left ove
    10·1 answer
  • A computer store decides to increase the prices of all the items it sells by 15%. the store manager uses matrices to prepare the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!