Answers
Answer:
y = 12
Step-by-step explanation:
Look at the left triangle first. Opposite the 30 degree angle (not shown) is the shortest side, which (according to the sine function) is half the hypotenuse, or 2√3. Then (2√3)² + x² = (4√3)², or
4(3) + x² = 16(3). Thus, x² = 16(3) - 4(3) = 12(3) = 36, and so x = 6. Again using the sine function, we find that x = 2y = 6, so, using the sine function, we find that sin 30° = 6/y. Thus y = 6 / (2/1) = 12 = y
Related Questions
Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?
Answers
Answer:
x = 31°
Step-by-step explanation:
Recall ;
Supplemtary angles summ up to 180°
Given that :
ABC and DEF are Supplementary angles and hence sum up to 180°
ABC + DEF = 180°
(2x + 10) + (3x + 15) = 180
2x + 10 + 3x + 15 = 180
2x + 3x + 10 + 15 = 180°
5x + 25° = 180°
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31°
1. Given the lines shown here, what are two possible equations for this system of equations?
Answers
Answer:
i just need help pasing 5th grade can you help by giving me a link so i can get answers to quistions pls
Step-by-step explanation:
the circumference of a circle is about 29.202 inches. the circles area is about ___ square inches.
use 3.14 for pi.
round your answer to the nearest tenth.
Answers
Circle area is about 9.3 square
Answer:
110
Step-by-step explanation:
really Gregg gift vg6
URGENT PLS HELP: If the transit telescope is 4.5 feet above the ground at the first location during this reading, how wide is the trench? (ANSWER FOR 30 POINTS)
Answers
Answer:
37.45'
Step-by-step explanation:
The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then
tan( 31°) = Height / base, with the base representing the width of the trench
base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench
choose the correct letter
Answers
Answer:
I would say A
Step-by-step explanation:
Mark with crown please!
how many units of meters make a kilometer?
Answers
EXPLANATION: 1 km = 1000
PLEASE HELP ASAP!!!!!!! I DONT HAVE MUCH TIME! 15 POINTS❗️
Answers
Answer:
negative slope, y= -x+2
Step-by-step explanation:
Big brain is why
what is 2/4 + 1/4 + 1/4
Answers
Answer:
4/4 or 1
Step-by-step explanation:
You can convert these fractions into decimals if decimals are easier for you to work with:
2/4 = .50 or 50
1/4 = .25 or 25
.50 + .25 + .25 = 1.00
HELPP ME PLEASE!!!
(don’t answer if you don’t know/for points,or i’ll report you.)
Answers
Answer:
4) -15 + (3)
Step-by-step explanation:
1: -9-(-9) = -9-9 = 0
2: -2-(6) = -2-6 = -8
3: 15 + (-7) = 15 - 7 = 8
4: -15 + (-3) = -15-3 = -18
-18 is the smallest value
7) Usain Bolt is almost 7 foot tall. What is this height (approximately) in meters?
Answers
Answer:
since 7 feet is 2.1336
aproximatly would be 2.08 rounded 2 meters
Step-by-step explanation:
6.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 212; your car travels 212 miles.
B. 1/53; Your car travels 53 miles every 1 hour.
C. 53/1; Your car travels 53 miles every 1 hour.
D. 10; your car travels for 10 hours.
Answers
Answer:
D. 10; your car travels for 10 hours.
Step-by-step explanation:
If eight people share some pizza and get three slices each, how many slices would six people get ?
Answers
Answer:
18
Step-by-step explanation:
You can forget about how many people their our in whole and focus on 6 x the amount they get, which is 3.
Answer:
4
Step-by-step explanation:
8*3=24 so there are 24 slices
24/6=4
so 6 people get 4 slices each
0.051x40(0.5+0.01)x40 using distributive property
Answers
Answer:
41.616
Step-by-step explanation:
Parallelogram Properties - Angles
Answers
Answer: x=30°
Step-by-step explanation:
A parallelogram always add up to 360°.
Opposite angles like F and H are always the same, so H=150°.
150+150=300 (what angles F and H add up to)
So we can do:
360-300=60
Now we know that the angle x and E have to add up to 60 but still be the same, so x will equal 30°.
We can check this by adding up all of the sides:
150+150+30+30=360°
Hope this helped :)
y / 4 + 8 = 22 Answer?
Answers
Answer:
y = 3.5
Step-by-step explanation:
First, you do 14/4 which = 3.5
Hope this helps!
Answer:
y/4+8=22
y/4=22-8
y/4=14/1
y=56
Find the median of the data set.
{28,36,78,22,65,38,49,36}
Answers
Answer:
37 because 37 was in the middle of all these value when placed dorm smallest ro biggest
933 months
years
months
Answers
Answer:
933mounths=77years and 9 mounts
Answer:
[tex]77\frac{3}{4}[/tex] years = 933 months
77.75 years = 933 months
Step-by-step explanation:
1 year = 12 months
y = 933 months
[tex]\frac{1}{12}= \frac{y}{933}[/tex]
12 × y = 933 × 1
12y = 933
12y ÷ 12 = 933 ÷ 12
y = 77.75
Write the equation of the line that passes through the points (9, -8) and (-7,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
y=-0.6875x -1.8125
y= -11/16x -29/16
Step-by-step explanation:
Corine bought 2 iced guava passionfruit drinks and 3 iced pineapple matcha drinks for herself and 4 friends from Starbucks. Both drinks cost the same amount. Corine gave the barista $30, who then gave her back $4.75 in change. Let x represent the price of a drink. How much did one drink cost?
Answers
25.25/5=5.05
Each drink cost $5.05
Please help! 15 points!
Answers
Answers:
(a) Area: 2108 in² Perimeter: 192 in
(b) Area
(c) perimeter
Step-by-step explanation:
To find the area, you do 34 × 62
To find the perimeter you do 34 + 34 + 62 + 62
Answer:
Sorry, I can't help you with that :( I hope someone else can tho!
Step-by-step explanation:
Noah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would Noah use to make 3 1/6 recipes? Write your answer as a fraction or as a whole or mixed number.
(Please help me)
Answers
Answer:
1 7/12 cups
Step-by-step explanation:
1/2 x 3 1/6 = 1/2 x 19/6 = 19/12 or 1 7/12
For 1 he uses half cup
For 3 1/6 of the same recipe
He would use:-1/2*3 1/6
19/12 cup of vinegar
=1 7/12(Answer)
I need the answer pls
Answers
Answer:
Mean = 25, Median = 21, Mode = 38, Range = 23
Step-by-step explanation:
sort from smallest to greatest
15, 18, 19, 21, 26, 38, 38
mean = [tex]\frac{sum}{# of terms}[/tex] = [tex]\frac{175}{7}[/tex] = 25
median = middle = 21
mode = more than 1 of the same # = 38
Range = largest - smallest = 38-15 = 23
The town provides free lemonade for people at the parade. Marty determines how much lemonade to order. He estimates there will be 1,250 people at the parade and that each person will have x amount of cups of lemonade. He uses his estimate and also orders an additional 150 cups of lemonade. He determines that he needs an amount of lemonade equal to 1,087.5 cups. Write an equation that can be used to determine the value of x. PLEASE HELP ME. I'VE ASKED A LEAF BLOWER.
Answers
Answer:
x = 1,087.5 /1250
Step-by-step explanation:
If there are 1250 at the parade and each person needs x amount of cups
total amount of cups needed = 1250x
total cups needed = 1,087.5
therefore - 1250x = 1087.5
x = 1087.5 / 1250
The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold
Answers
Answer:
whats the question
Step-by-step explanation:
3) Sumalee's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 8 senior citizen tickets and 10 child tickets for a total of $162. The school took in $180 on the second
day by selling 10 senior citizen tickets and 10 child tickets. What is the price each of one senior citizen
ticket and one child ticket?
Answers
Answer:
$380
Step-by-step explanation:
add the money then add the other numbers
first to answer correclty gets brainelist! thx pls help:)
Answers
Answer:
Its C
Step-by-step explanation:
Two similar solids have a scale factor of 3:4. What is the ratio of their areas?
27:64
9:16
6:8
3:4
Answers
9:16
area =scale factor squared
HELP ME PLEASE I NEED THE ANSWERS ASAP. geometry
Answers
Answer:
[tex]6\pi[/tex], 6pi
Step-by-step explanation:
The area of the full circle would be [tex]\pi *4^{2}[/tex], which is [tex]16\pi[/tex]
A full circle is 360 degrees. Since we are only taking a part of that, 135, we would put it in a fraction. [tex]\frac{135}{360}[/tex]
Last, multiply 16pi and 135/360 since we are taking a part of 16pi.
[tex]16\pi *\frac{135}{360}[/tex]
[tex]\frac{2160\pi}{360}[/tex]
[tex]6\pi[/tex]
Rectangle ABCD has vertex coordinates A(1, -2), B(4,-2),
C(4,-4), and D(1,-4). It is translated 1 unit to the left and 3
units up. What are the coordinates of A?
O A. (0,1)
O B. (2,-5)
O C. (4, -3)
O D. (-2,-1)
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Locus of a shape.
Here, the left movement is in x direction and vertical or up movement is in the y direction.
so we get as,
A(1,-2) ==> 1 towards left => 0
and 3 units up => 1
hence the new co-ordinates are A(0,1)
hence, A(0,1) is correct option
i need help with this please
Answers
Answer:
diameter = 24 yards
Step-by-step explanation:
C = π·d
75.36 = 3.14d
d = 75.36/3.14
d = 24