Answers
We can name the sides of a right triangle by finding their location given one of the angles.
The "hypotenuse" is the longest side of a right triangle. It is opposite the right angle.The "opposite" is the side that the angle does not touch.The "adjacent" is the side that the angle does touch, that is not the hypotenuse.The sine, cosine, and tangent ratios are the three basic trigonometric ratios:
The sine ratio: [tex]\sin\theta=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]The tangent ratio: [tex]\tan\theta=\dfrac{opposite}{adjacent}[/tex]Solving the QuestionThe given angle in this case ([tex]\theta[/tex]) is the angle that measures 15°.
We're also given the side adjacent to it (that is not the hypotenuse), which measures 300 units.
And finally, we're asked to solve for the side opposite the given angle.
The ratio that involves solving using the opposite and the adjacent sides is the tangent ratio. Plug in all the given values:
[tex]\tan\theta =\dfrac{opposite}{adjacent}\\\\\tan(15^\circ)=\dfrac{x}{300}[/tex]
Isolate x by multiplying both sides by 300:
[tex]300\tan(15^\circ)=x\\\\300\tan(15^\circ)=80.4[/tex]
Therefore, x = 80.4 when rounded to the nearest tenth.
Answerx = 80.4
Related Questions
Which answer shows 0. 00897 written in scientific notation? 0. 897 times 10 Superscript negative 2 8. 97 times 10 Superscript negative 3 8. 97 times 10 Superscript negative 2 8. 97 times 10 Superscript 3.
Answers
Answer:
c i think
Step-by-step explanation
not 100% tho
Can someone explain me how to do this? I am so stress trying to figure out, I’m kinda complicated to understand but i will try my best to understand you when you answer
Answers
Answer:
32ft^2
Step-by-step explanation:
length (l)=3ft
breath (b)=2ft
height (h)=2ft
We know that,
surface area (A)=2(lb+lh+hb)
=2(3*2+3*2+2*2)
=2(6+6+4)
=2(16)
=32ft^2
Mark me as brainlist. Hope this helps you.
n/7; evaluate, when n=35
Answers
Answer:
5
Step-by-step explanation:
35/7 = 5
Answer:5
Step-by-step explanation:
Write 5.9 as an improper fraction and a mixed number in the simplest form.
Answers
5.9 as a improper fraction is [tex]\frac{59}{10}[/tex] and the mixed number in simplest form is [tex]5\frac{9}{10}[/tex]
x/3 = 11. i can’t find this one out so help would be good
Answers
Decimal: 3.67 or 3.6 repeating
Fraction: 11/3
Mixed Number: 3 2/3
5x-x/y when x=4 and y=2
Answers
Plug it in!
5x - x/y
5(4) - 4/2
20 - 2
18
18Answer:
8
Step-by-step explanation:
square root of y plus cubic root of y is equal to twelve
Answers
Answer:
[tex]\sqrt{y} +\sqrt[3]{y} =12[/tex] if this is your question the answer is y=64
40 divided 1+3-(3x7)+7-5
Answers
Answer:
2.10526315789
Step-by-step explanation:
1+3=4
3x7=21
21-4=17
17+7=24
24-5=19
40 divided by 19 =2.10526315789
Tell whether each of the following statements about the diagram is true or false by pressing the hotspot.
Answers
Answer:
1. false
2.true
3.true(im kinda iffy on that one but i think its right)
Answer:
false true true
Step-by-step explanation:
I'm pretty sure
PLS HELP IL GIVE BRAINLYEST (100 PTS FOR ANSWER)
PLS DONT ANSWER IF YOU DONT KNOW THE ANSWER
Drag each tile to the correct box. Not all tiles will be used.
Simplify the expression by arranging the steps in sequence, based on the order of operations.
Answers
~Shoto Todoroki here~
-first tile-
-third tile-
(5x+x)=(4-9)
6x-5
hope this helps :D
ord
If y varies jointly as x and z when x = 5, y = 80, and z = 8, what is y when x = 16 and z = 2?
Type your answer
Answers
Hey there!
Let's make an equation
⇒y = (a)(x)(z)
y = 80x = 5z = 8⇒ 80 = a(5)(8)
⇒ 80 = a(40)
⇒ 80 = 40a
Divide both sides by 40
⇒40a/40 = 80/40
⇒a = 80/40
Therefore, a = 2
Let's substitute into first equation
⇒y = (2)(16)(2)
y = 64
So, y = 64
please mark me brainiest, hope this helps
Please help I’m very bad at geometry !!!!!!!!!!!
Answers
Answer:
m∠HGE = 35°
Step-by-step explanation:
m∠HGF = 145
m∠EGF = 110
145 - 110 = 35°
WILL GIVE BRAINLIEST PLZ ANSWER!!
The jelly bean jar has a square
base with a length and width of
12.5 cm and a height of 17 cm.
What would be a reasonable
upper limit for the number of
jelly beans in the jar?
A.1
B.10
C.100
D.10,000
Answers
Answer:
A.1
Step-by-step explanation:
those jelly beans are big.. its either 1 or 10 like 17cm is as long as your hand(just your hand and fingers not ur arm)
so A.
The reasonable upper limit of the bean jar is the same as the height of the jar so it will be 17cm so none of the given options will be correct.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
The volume of cuboid = length × height × width.
The volume of the cube = side³.
Given a jar with a square base
Length = 12.5 cm
Width = 12.5cm
Height = 17 cm
The jelly beans will cover all heights of the jar so the maximum height of the jelly will be the same as the height of the jar.
Hence "The reasonable upper limit of the bean jar is the same as the height of the jar".
To learn more about volume,
https://brainly.com/question/1578538
#SPJ2
Use the Pythagorean Theorem to find VW.
Answers
Answer:
a) 5 units
Step-by-step explanation:
Pythagorean Theorem : c^2 = b^2 + a^2
so
VW^2 = 3^2 + 4^2
VW^2 = 9 + 16 = 25
VW = 5
a recipe calls for 12 ounces of raisin. raisins come in boxes of 170 g. how many boxes of raisins are needed for the recipe?
Answers
Hi there! Hope this helps, and if it does, please mark brainliest!
Answer:
2 boxes
Step-by-step explanation:
There are roughly 28 grams in an ounce. So if you have 12 ounces, times 28 by 12, which is 336, so you need 336 grams of raisins. Divide by 170, the number of grams in one box, which would be 1.98 boxes, but you have to round up, so you would need two boxes.
Determine whether one figure is a dilation of the other. Complete the justification.
Quadrilateral DEFG has side lengths of 16 m, 32 m, 28 m, and 12 m. Quadrilateral D'E'F'G' has side lengths of 44 m, 88 m, 77 m, and 33 m.
The figure D' E' F' G' (is/is not) a dilation of the figure D E F G. Thr ratios of the lengths of the corresponding sides (are not/are) equal.
Answers
Answer:
is a dilation
Step-by-step explanation:
One of the triangles will be a dilation of the other if corresponding sides have the same ratio. When given a series of side lengths, there are a couple of ways you can determine if the ratios are the same.
compute the ratio of the side of one figure to the corresponding side of the other figureput corresponding side lengths in order around the figure, and remove any common factor from their values.Sometimes the latter approach is easier.
__
DEFG ratios are 16 : 32 : 28 : 12 = 4 : 8 : 7 : 3 . . . . . . remove a factor of 4
D'E'F'G' ratios are 44 : 88 : 77 : 33 = 4 : 8 : 7 : 3 . . . . remove a factor of 11
The figure D'E'F'G' is a dilation of the figure DEFG. The ratios of the lengths of the corresponding sides are equal.
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 13
B. 4,13
C. 3
D. 13
Answers
Answer: A
Step-by-step explanation:
An employee of a company wants to determine what method of transportation most employees use to get to work. Which sample is the most representative of the population of interest? 20 randomly selected employees in the marketing department 20 randomly selected employees in the marketing department 50 randomly selected employees at the company 50 randomly selected employees at the company all the first-year employees at the company all the first-year employees at the company the first 25 employees to get to work Monday morning the first 25 employees to get to work Monday morning
Answers
Using sampling concepts, it is found that the most representative sample of the population of interest is given by:
50 randomly selected employees at the company.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, all employees have to be considered, no matter their department or experience on the company, hence the most representative sample of the population of interest is given by:
50 randomly selected employees at the company.
More can be learned about sampling concepts at https://brainly.com/question/25122507
10.
Given that P
20n + 1000
(a)
Find the value of P when n = 200.
Answers
Substitute n with 200. If there is a number behind a variable its multiplication.
20(200) + 1000
4000 + 1000= 5000
Two identical rectangular prisms and two identical cubes are joined. Answer the questions to find the new solid’s surface area. The numbers are 9 and 4
Answers
The surface are of the new solid formed by the joining of two identical cubes having a surface area of 294 cm² is: 490 cm²
What is the Total Surface Area of a Cube?Total surface area of a cube = 6a², where a is the length of each of the sides.
Given:
Surface area of each identical cube = 294 cm²
Find the length of each side:
6a² = 294
a² = 294/6
a² = 49
a = √49
a = 7 cm
Surface area of the new solid = surface area of the two identical cubes - 2(area of the surface where both are joined)
Surface area of the new solid = 2(294) - 2(7²) = 490 cm²
Learn more about surface area of cube on:
https://brainly.com/question/410493
help please i don’t kneo
Answers
Answer:
x=4
Step-by-step explanation:
Use a vertical format to subtract the polynomials. 7x^2-6x+4-(12x^2+9x-6)
Answers
Answer:
- 5x ² 15x + 10
Step-by-step explanation:
1st 7x² - 6x +4 -(12x². +9x-6)
Remove the parentheses
2nd. 7x² - 6x +4-12x²-9x+6
Collect like terms Calculate
and then there you go you got the answer
-5x ² 15x + 10
Austin is building a miniatuer replica of the empire state building.The actual empire state building is 1,423 feet tall and 6,000 feet wide .If astin's replica has a width of 60 centimeters, what is the height of his empire state building replica rounded to the nearest centimeter?
Answers
Answer: 14cm
Step-by-step explanation:
From the question, we are informed that Austin is building a miniatuer replica of the empire state building and that the actual empire state building is 1,423 feet tall and 6,000 feet wide
We are further told that Austin's replica has a width of 60 centimeters. This implies that the scale of 1:100 was used where 1cm represents 100 feet
= 60:6000
= 1:100
Therefore, the height of his empire state building replica rounded to the nearest centimeter will be:
= 1423/100
= 14.23cm
= 14cm approximately
While on a business trip to Kensington, Vivian treated her co-workers to a meal that cost
$70. Vivian knew that when the bill came, she would need to pay Kensington sales tax of
10% and would want to leave a 20% tip on the original $70. Including tax and tip, how much did Vivian's meal cost?
$____
Answers
1. Which of the following explains how to find
the area of the base of the triangular prism?
26
10
24
.
a. Multiply 24 · 18.
b. Multiply 18.26.
c. Multiply 24 · 18, then divide by 2.
d. Multiply 24 . 10, then divide by 2.
.
Answers
Answer:
d
Step-by-step explanation:
Find the GCF of each pair of terms.
3 and 9
Answers
Answer:
The GCF is 3.
Step-by-step explanation:
All you do is list out the factors of the numbers and find the greatest factor that they have in common.
Like the GCF of 3 and 9. We list the factors.
Factors of 3:
1, 3
Factors of 9:
1, 3, 9
As we can see, 3 is the GCF because it is the highest factor that the numbers have in common.
Hope this helps!
A line passes through the point (-2, 6) and has a slope of 6.
Write an equation in point-slope form for this line.
Answers
Answer:
y = 6x + 18
Step-by-step explanation:
so first write y = 6x + b (because you have the slope) now to find the y-intercept input the point (-2, 6) and do algebra
6 = 6(-2) + b
6 = -12 + b
b = 18
Of the 12 pieces of fruit in the kitchen, seven-twelfths are peaches. How many peaches are in the kitchen?
Answers
Answer:
7
Step-by-step explanation:
7/12 of 12
7/12 × 12
7/1 × 1
= 7
Similarity.
Please help
Answers
PLEASE HELP
Determine if the angles are SSS, SAS, ASA, AAS OR not congruent
1-8 PLEASE WILL MARK BRAINLIEST
Answers
1st one is:SSS 2nd one is:*not visible* 3rd one is:SSA 4th one is: AAS, 5th one is:AAA or AAS 6th one is:CNBD 7th one is:SAS 8th one is:SSS
Step-by-step explanation:
Hope this helped :)
Tell me if anything is wrong please