Answers
Answer:
x = 8[tex]\sqrt{3}[/tex] , y = 8
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{16}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 16[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 8[tex]\sqrt{3}[/tex]
----------------------------------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{16}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 16 ( divide both sides by 2 )
y = 8
Related Questions
It cost $5 to send 6 packages through a certain shipping company. Consider the number of packages per dollar. Find the constant of proportionality for this situation. ENTER ONLY A NUMERICAL ANSWER. NO WORDS, SYMBOLS, OR ADDITIONAL SPACES
Answers
Answer:
1.2 packages per dollar
Step-by-step explanation:
Number of packages = 6
Total cost in dollars = $5
Number of packages per dollars = Number of packages / Total cost in dollars
= 1.2 packages per dollar
Let
P = number of packages
d = cost in dollars
k = constant of proportionality
P = k * d
6 = k * 5
k = 6/5
k = 1.2
Constant of proportionality = 1.2
which pair best represents a causation statement?
A. a person's age and his/her height.
B. the length of your hair and reading ability
C. the number f books read and the size of someone's vocabulary
D. the higher number of shark attacks and the increasing number of people going on vacation
Answers
Answer:
C. the number f books read and the size of someone's vocabulary
Step-by-step explanation:
causation is the action of causing something, thats the only one that makes sense lol
George scored 70, 92, 70, 90, and 95 on five physics tests. The mean, median, and mode of his scores are given below. Mean = 83.4 median = 90 mode = 70 Which value best describes George's scores? Explain.
Answers
Answer:
mean; the average of George's scores is the mean = 83.4
Step-by-step explanation:
The value that best describes George's scores is the mean that has a value of 83.4.
What is the mean?
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number. The mean makes use of all the data in the data set.
Mean = sum of the numbers / total number
(70+ 92 + 70 + 90 + 95) / 5 = 83.4.
To learn more about mean, please check: https://brainly.com/question/25842202
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer: They are related by the AAS postulate and they can be proven congruent.
Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.
I hope I helped! :)
Can someone help me with this. Will Mark brainliest.
Answers
Answer:
true
Step-by-step explanation:
a rhombus always has opposing parallel sides, qualifying it as a parallelogram
Answer:
true
Step-by-step explanation:
all rhombuses have opposite sides equal and parallel and opposite angles are congruent
Please help and thank you
Answers
Answer:
D
Step-by-step explanation:
Help please not sure what it can be!
Answers
Answer:
y=40x-30
Step-by-step explanation:
Hmmmmmskksksksksksjsjsjdj
Answers
Answer:
Hmmm
Step-by-step explanation:
A negative number with an absolute value less than 4.
Answers
Answer:
-3, -2, or -1
Pls help and thank you guysss
Answers
Answer:
x=8
Step-by-step explanation:
These two equation should add up to equal 180.
8x+13+12x+7=180
20x+20=180
20x=160
x=8
Answer:
8x+13+12x+7 =180
20x+20 =180
x= 8
What is the angle relationship?
Answers
Answer:
z = 15 degrees, 5z = 75 degrees
Step-by-step explanation:
AYB is 180 degrees
CYD is 90
so the two missing angles sum to 180 - 90 = 90
z + 5z = 90
6z = 90
z = 15
5z = 75
Harry has 25 sweets.
He gives 11 of the sweets to Nadia.
What fraction of the 25 sweets does Harry have now?
Answers
Answer: 14
Step-by-step explanation:
1. Harry has 25/25 sweets
2. Nadia takes 11/25 sweets
3. Your left with 14/25
Find the value of (8^0+7^-1)x3^2
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
72x/7
Hope this Helped :T
A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?
Answers
Answer:
1072
Step-by-step explanation:
Please give me the answer please
Answers
Answer:360
Step-by-step explanation:
Answer:
area =
[tex] \frac{1}{2} \times (10 + 6) \times 6 [/tex]
=
[tex]3 \times 16[/tex]
=
[tex]48 \: ft {}^{2} [/tex]
10
10
14
50
50
10
10
NOTE: Figure not drawn to scale.
Which statement can be used to prove that the triangles above are congruent?
A If two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent.
B If two triangles have three pairs of corresponding angles that are congruent, then the triangles are congruent
If two triangles have two pairs of corresponding sides that are congruent, and the included angles are congru
triangles are congruent.
D
If two triangles have to pairs of corresponding angles that are congruent, and the included sides are congru
triangles are congruent.
Answers
Answer:
do you have a picture or somthing beacuse i dont understand what your asking
Step-by-step explanation:
Answer: prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent.
Step-by-step explanation:
I’ll give brainliest!!!!! Pls help ASAP
Answers
Answer:
[tex]\sqrt[4]{x^{7} }[/tex]
Step-by-step explanation:
this is the same concept basically as simplifying [tex]\sqrt{x}[/tex] into [tex]x^{\frac{1}{2} }[/tex]. You can see that the denominator is in front of the radical and that any numbers in the numerator are the power of the number underneath.
If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market
Answers
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
PLEASE HELP. ANYONE.
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
Answers
V-8w/3 =l
Ans. C
Transformation Geometry freaking help, it’s due tmrr
Answers
Answer:
i can help
Step-by-step explanation:
A positive number with an absolute value less than 5.
Answers
Answer:
3 I think.
Step-by-step explanation:
it's positive and it's also an absolute
hello please help thanks
Answers
Answer:
most likely the last choice
Step-by-step explanation:
Answer: during evaporation
Step-by-step explanation: the sun heats up the water which caused it to evaporate
Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Answers
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between point A and point B is 10 units.
[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]
Taking square on both sides, we get
[tex](8)^2+(1-y)^2=100[/tex]
[tex](1-y)^2=100-64[/tex]
[tex](1-y)^2=36[/tex]
Taking square root on both sides, we get
[tex](1-y)=\pm \sqrt{36}[/tex]
[tex]-y=\pm 6-1[/tex]
[tex]y=1\mp 6[/tex]
[tex]y=1-6[/tex] and [tex]y=1+6[/tex]
[tex]y=-5[/tex] and [tex]y=7[/tex]
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
A polygon has 6 sides. The exterior angles are 80 degrees, 56 degrees, 61 degrees, 43 degrees, 92 degrees, and (2 x) degrees. What is the value of x? x =
Answers
Answer:
14 degrees is right! just wanted to add some credibility(?) idrk. best of luck!
Step-by-step explanation:
The value of x in the polygon that has six sides(hexagon) is 14.
What is a hexagon?An hexagon is a polygon with six sides.
The exterior angles of the hexagon are as follows:
80°, 56°, 61°, 43°, 92°, and (2x)°.
Therefore,
sum of exterior angle = 360°
Hence,
80 + 56 + 61 + 43 + 92 + 2x = 360
332 + 2x = 360
2x = 360 - 332
2x = 28
x = 28 / 2
x = 14
learn more on hexagon here: https://brainly.com/question/15902950
Here is the histogram of a data distribution.
5 4 3 2
1'2'34'5'6'7'8'9 '10
Which best describes the shape of this distribution?
O A. Bimodal symmetric
B. Bimodal skewed
O c. Uniform
O D. Unimodal skewed
O E. Unimodal symmetric
Answers
The given histogram is unimodal skewed.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
This histogram is unimodal skewed.
There are two parts to this answer. The first part has to do with the number of modes.
This would be the item that is occurring the most frequently. In this case the mode is only 4.
It is occurring more than any other.
The second part of this has to do with the distribution of the data as it is displayed on the histogram.
There are 4 pieces of data that are only occurimg one time on the right of the histogram. We call this skewing the data.
When both sides looks almost the same we say it is symmetric.
Hence, the given histogram is unimodal skewed.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
Which of the a-values satisfy the following inequality? 7 + a < 11 Choose all answers that apply: А a = 3 B a = 4 a = 5
Answers
Answer:
Only A. a=3
Step-by-step explanation:
Because since 7+a<11 then that means a have to be 3 or below... good luck!
Answer:
A) a=3
When a=3 7+3=10 which satisfy that 7+a<11 in which 10<11
Did i pick the right one?
Answers
Answer:
V= 3,14×7×3×5
= 21,98×15
= 131,94
When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?
Answers
Answer:
2669
Step-by-step explanation:
Given that :
Salary range = 876
Starting salary = 1793 monthly
The starting salary represents the minimum amount Micah can earn monthly
Therefore, the amount of money much can earn can be calculated thus :
Recall :
Range = maximum - minimum
876 = maximum - 1793
876 + 1793 = maximum
Maximum = 2669
Hence, the maximum salary Micha can earn is 2669 monthly
please answer 13 and 14
Answers
Answer:
13. Option 3
14.Option 2
Step-by-step explanation:
Option 3 shows that caleb has $5 or less by using the "less than or equal to" sign
Option 2 uses a closed circle to show that $5 is included in the table.
Things to remember that helped me
Closed circle are used for < and > signs to show that the number is being included. They mean "less than or equal to (<)" and "more than or equal to(>)"
Open circles are used for < and > signs. To show that the number is NOT included in the inequality.
Also when looking at the signs < and >, Picture them as arrows. That will show you the direction on the number line they go. For example < is pointing to the left which would mean "LESS THAN" and same with >, its pointing to the right which would mean "MORE THAN"
Answer:
13 - option 3 and 14 - option 2
Step-by-step explanation:
A line that includes the point (2,7) has a slope of
–
8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answers
Answer:
y - 7 = -8(x-2)
Step-by-step explanation:
The point slope form is: y-y1=m(x-x1)
From the information that was given, we know our two points: (2,7)
From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)
Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.
The answer would either be: y - 7 = -8(x-2) [if you wrote down -8 as the slope]
OR
The answer would be: y - 7 = 8(x-2) [if you wrote down 8 as the slope]
