Directions: Find the value of x.
Round angle measures to the nearest degree.
Answers
Given:
The figure of a right triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In the given right triangle,
Hypotenuse = 15
Perpendicular = 12.5
Now,
[tex]\sin x^\circ=\dfrac{12.5}{15}[/tex]
[tex]\sin x^\circ=0.83333[/tex]
[tex]x^\circ=\sin^{-1}0.83333[/tex]
[tex]x^\circ =56.442345^\circ[/tex]
[tex]x\approx 56[/tex]
Therefore, the equation used to find x is [tex]\sin x^\circ=\dfrac{12.5}{15}[/tex] and the value of x is 56.
Related Questions
Dan has a piece of wood that is 3 feet long. He needs a piece that is 2 feet 5 inches long for a science project. How many inches of wood will be left after Dan cuts off the piece he needs for his project?
Answers
Answer: 7 Inches left
Step-by-step explanation:
1 foot is 12 inches
12 inches minus 5 = 7
subtract the 2 feet from 3
7 inches left
Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it :)
Answers
Given:
The expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
To find:
The terms and like terms in the expression.
Solution:
Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".
Like terms: The terms which contain same variables with same power are known as like terms.
The given expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
It can be rewritten as:
[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]
Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].
Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].
Pls? Help? No links pls lol
Answers
(2, -3) is the answer
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=76°, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.
Answers
Answer:
11.5
Step-by-step explanation:
please help, thank you!
Answers
Explanation: if you draw a line from E to the other side, you can fine the missing angle. C=57 the corner we made with the line= 90. If you minus those from 180, you’ll get 33. And since we drew that line, A-E is now 90 degrees. If you plus 90 and 33, it gives you 123 degrees. There for AED=123 degrees.
Latoya bought 8 pounds of potatoes at a local wholesaler for $18. Her friend
Herman bought 6 pounds of potatoes at the supermarket for $15. Herman
thinks he got the better deal because $15 is less than $18. Use this information
for Parts A, B, and C below.
6. PART A: How much did Latoya pay per pound?
Answers
Do 18 divided by 8 = 2.25
So, $2.25 per pound
slope: -1 intercept: -7.9
what is the answer:
y = -x - 7.9
y = x - 7.9
y = -x + 7.9
y = -4/3 - 7.9
Answers
Answer:
y = -x - 7.9
Step-by-step explanation:
Given:
m = -1
b = -7.9
y = mx + b
y = -x - 7.9
Read each item. Choose S if the item is a complete sentence or F if the item is a fragment. John wished him well.
Pls I need it now!
Answers
Accοrding the given question "Jοhn wished him well" is a fragment. Thus, the correct answer is F.
What is a fragment?A fragment differs frοm a complete sentence because fragments do not express a complete idea οr include both a subject and a verb that are necessary for a sentence, instead fragments tend tο include only a subject or only a verb alοng with other words that complete them.
In the case of "Scurried acrοss the field" this item is a fragment (F) because it cοntains the main verb "scurried" that means to rush alοng with other wοrds that complete the meaning οf the verb "across the field" but it dοes not contain a subject or specifies who or what was hurrying.
Learn mοre about fragment on:
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Complete question:
Read each item. Choose S if the item is a complete sentence or F if the item is a fragment. John wished him well.
A. S
B. F
A pillow contains 8 ounces of stuffing.
How many ounces would 4 of the pillows contain?
Answers
Answer:
32 ounces
Step-by-step explanation:
8x4=32
There are 32 ounces of stuffing in 4 of the pillow.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A pillow contains 8 ounces of stuffing.
Now,
Since, A pillow contains 8 ounces of stuffing.
So, The amount of ounces in 4 of the pillow = 8 x 4
= 32
Thus, There are 32 ounces of stuffing in 4 of the pillow.
Learn more about the multiplication visit;
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Which of the following best describes these pair of angles?
Answers
Confused so help needed. On a number line where would 6/10 be located choose all answers that make a true statement 
Answers
Answer:
A,B, C are right!
Step-by-step explanation:
If you were to plot those numbers on the line, it would be true!
Good Luck!!!!!
Answer:
A,B,C
Step-by-step explanation:
I just took the test and i got it right so...wanted to share the correct answer :D
Necesito este resultado porfavor (48)^7 ÷ (12)^7
Answers
Answer:4^7
Step-by-step explanation:
To simplify it here we can see that 48 is the factor of 12 which is 12×4=48 So.,
Dividing 48 by 12 we get 4 and the power is same co it comes as it it so the answer here is 4^7
Can someone help find what C is?
Answers
Answer:
the first one is 10
the second one is 12.65
Step-by-step explanation:
hope this will help u
Hello there!
Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].
For problem number 7, we plug 6 and 8 in for a and b. Like this:
[tex]6^{2} + 8^{2} = c^{2}[/tex]
Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.
64 + 36 = 100
Then, we take the square root of 100 to get c.
[tex]\sqrt{100} = 10[/tex]
(There's something special about this triangle. If you want I'll tell you about it in the comments.)
For problem number 8, we do the same exact thing.
[tex]4^{2} + 12^{2} = c^{2}[/tex]
[tex]4^{2} = 16[/tex] and [tex]12^{2} = 144[/tex]
[tex]144 + 16 = 160[/tex]
[tex]\sqrt{160} = 8\sqrt{10}[/tex]
I hope this helps!!
Write the equations of 2 straight lines which are perpendicular to y = -3x +0.5.
Answers
Answer:
y = (1/3)x + 7
y = (1/3)x - 15
These are two examples out of an unlimited number of possibilities.
Step-by-step explanation:
The slope of this given line is -3. Any new line perpendicular to this one is the negative reciprocal of -3: 1/3.
The slope-intercept form is y = mx + b. Here m = 1/3, so the revised form is
y = (1/3)x + b.
Two straight lines perpendicular to the given line are easily found by selecting two different values for b:
y = (1/3)x + 7
y = (1/3)x - 15
help me please? statistical measures
Answers
Answer:
STATISTICAL MEASURES
Step-by-step explanation:
1. Matt used a cup shaped like a cylinder to drink his morning milk. The dimensions of
the container are shown below.
width- 8 cm
height-12cm
Which measurement is closest to the area of the base of the container in square
centimeters?
Answers
Answer:
50.29 cm²
Step-by-step explanation:
Base area of a cylinder = πr²
π = 22/7
r = radius
For circular objects, the width is the same as the diameter of the object
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = 8/2 = 4cm
Base area = (22/7) x 4² = 50.29 cm²
At a publishing company 60% of the editors are female.
30% of the female editors and 20% of the male editors have a maths degree.
What percentage of all the editors have a maths degree?
Answers
0.3 percent because 50% of 60% is 0.3%
pls help on these pls and thku
Answers
Question 2
In the expression 7x8+(24/8x4), which part has to be solved first?
Answers
Answer:
24/8x4
Step-by-step explanation:
You do the problem in the parentheses first.
Which weighs more: a pumpkin that weighs 9.2 kilograms, or a cat that weighs 9 pounds?
Note: 1 pound is about 0.45 kilograms.
Answers
Answer:
pumpkin
Step-by-step explanation:
9.2 kg is about 20 pounds
what times itself equal 53.38
Answers
2 The Lee family drove 450 miles in 6 hours. If they drove at this rate of speed the entire time,
how far did they go in 4 hours?
birto the
Answers
Answer:
300
Step-by-step explanation:
Answer:
Step-by-step explanation:
Total miles = 450
Unit rate = 450 ÷ 6 = 75 miles
Distance in 4 hours = 75 x 4 = 300 miles
The Lee family drove 300 miles in 4 hours
There are 15 pieces of fruit in a bowl and 40% of them are apples.
How many of the pieces of fruit in the bowl are apples?
Answers
Answer:
six out of the fifteen are apples
HELPPPPPPPPPPPPPP MEHHHHHHHHHHHH I HAVE A D+ AND GRADE GO OUT THIS FRIDAY PLZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP
Answers
Question:
The scatterplot shows the numbers of shots attempted and the corresponding number of baskets made by one of the players on the team for each of the games this season.
Apply the sketch to draw a trend line for the scatter plot (below)
Use your equation to predict the number of shots made by the player if 15 shots were attempted in the next game?
Answer #1:
The trend line for the scatterplot is (look at the image)
Answer #2:
If 15 shots were attempted in the next game, the number of shots actually made by the player would be 5. The player made 5 total shots out of the 15.
Step-by-step explanation:
Sama, my girl!!
OH MY GOSH *crying* I miss you so much!! It's been like what? A MONTH!! but dudeee, we have so much to catch up on!!! (you and me both sis) It's been F-O-R-E-V-E-R Girl you better have not forgotten me... YOUR BESTFRIEND/SISTER!!! You'll never be able to replace me anyway hahha. I miss your hilarious personality and your smile and everything about you!! I miss the way we used to make each other laugh our gluteus maximus off until we cried lol. Please Please Please hit me up ASAP so we can talk again!!!
P.S. I LOVE YOU!!!
I wish we lived in the same state because I really really miss my sister I wish I could hug you and talk every day like we used to. We're getting so distant and it's making me really sad. I miss you so much and I want my sister back lol (ASAP) hit me up please!!
Catch me up on what's been happening and let me know when we can finally talk again like we used to every day!! Last time we talked you said school has been keeping you busy and I'm so so sorry but I don't want to let something as boring and unuseful as school take my sis away from me School can't be that demanding where you can't talk with me like we used to! AND if you ever need help with school and homework please just ask!! I'm always here for you luv and I'm never leaving. I'd love to help you!! After all, that's what bestfriends/sisters are for <3 I love you sis and again, obviously haha, I miss you so much!!
- Love Krissy -
Help me please id really appreciate your help
Answers
Answer:
See explanation below
Step-by-step explanation:
Volume = (11)(10)(7) = 770 cubic centimeters
Surface area = (2)(10)(7) + (2)(11)(7) + (2)(11)(10) = 1774 square centimeters
b) Surface area (How much wax can cover the cube)
c) Volume (How much juice will be inside the cube)
Work: V = l*w*h = 11*7*19 = 770
Surface Area: 514 cm^2
Work: 110+110+77+77+70+70 = 514
b) Answer: surface area
Explanation: wax coats the outer surface of the juice box, and is therefore dependent on surface area.
c) Answer: Volume
Explanation: the juice fills up the inside of the box, meaning that it represents the volume.
A list of 5 numbers is shown below.
0, 3, 7, -6, -12.3
Which set contains all the numbers in the list?
A integers
B whole numbers
C natural numbers
D rational number
Answers
Answer is D: rational number
Step-by-step explanation:
The given number is the element of the set of rational numbers. option D is correct.
Given that,
A list of 5 numbers is shown below. 0, 3, 7, -6, -12.3, which set contains all the numbers in the list is to be determined.
In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
What are irrational numbers?An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.
Here,
Since the number are of negative and contain such as -12.3 thus these all belong to the set of rational numbers.
Thus, the given number is the element of the set of rational numbers.
Learn more about rational numbers here:
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What would x equal for this triangle side
Answers
Answer:
x=44
Step-by-step explanation:
180-89=91
180-91-45=44
explanation: 89 - 45 = 44
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours
ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Plot A
OOOOOO
Plot B
o
i
2 3
4
5 6
7
8 9 10
Which statement correctly compares the measures of center in the two sets of data?
Mark this and return
Save and Exit
Sun
Answers
Answer:
The answer is "Choice B".
Step-by-step explanation:
Please find the complete question in the attachment file.
In the given question, "Option b" is correct because both the mean and median value is greater for Plot B and for Plot A.
is the proper fraction of 1 3/4
Answers
Answer:
7/4
Step-by-step explanation:
since 1=4/4
4/4+3/4=7/4
Tori has a wardrobe that is 7 feet tall, 3 feet wide, and 2 feet long. She wants to buy a new wardrobe that is 7 feet tall, 4 feet wide, and 2 feet long. What is the difference in volume of the two wardrobes? V = ft3
Answers
Answer:
14 ft³
Step-by-step explanation:
Previous wardrobe : 7 feet tall, 3 feet wide, and 2 feet long
Volume of previous wardrobe = length × width × height
= 7 ft × 3 ft × 2 ft
= 42 ft³
Volume of previous wardrobe = 42 ft³
New wardrobe: 7 feet tall, 4 feet wide, and 2 feet long
Volume of new wardrobe = length × width × height
= 7 ft × 4 ft × 2 ft
= 56 ft³
Volume of new wardrobe = 56 ft³
What is the difference in volume of the two wardrobes?
Difference in volume of new wardrobe and previous wardrobe = Volume of new wardrobe - Volume of previous wardrobe
= 56 ft³ - 42 ft³
= 14 ft³
Difference in volume of new wardrobe and previous wardrobe = 14 ft³