Answers
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(30)=\frac{7}{x}[/tex]
Inverse operations,
[tex]x=\frac{7}{sin(30)}[/tex]
Simplify,
[tex]x=14[/tex]
Related Questions
The mean age of 5 people in a room is 33 years. A person enters the room. The mean age is now 33. What is the age of the person who entered the room?
Answers
Answer:
33 years
Step-by-step explanation:
I think you might have made a typo, but it would still be 33 if the mean age stays the same.
SA = 2πη2 + 2πχh
(Use 3.14 for T.)
Find the surface area of
a cylinder that has a base
radius of 2 feet and a
height of 14 feet.
square feet
Do NOT round your answer.
Answers
Answer:
201.06
Step-by-step explanation:
A=2πrh+2πr2
Hope it is correct
Will give BRAINLIEST to correct answer.
Given that ℓ1 ∥ ℓ2, find x.
Answers
X = 38
2x is equal to the angle next to the x + 66 angle because ℓ1 ∥ ℓ2 is parallel so:
2x + x + 66 = 180 -- combine like terms
3x + 66 = 180 -- subtract 66 from both sides
3x = 114 -- divide by 3 on both side
x = 38
Find the nth term of the following sequence 5,20,45,80,125
Answers
Answer:
{5, 20, 45, 80, 125} = 5{1, 4, 9, 16, 25} = 5{1², 2², 3², 4², 5²}
→ U{n} = 5n²
Step-by-step explanation:
Một xưởng dệt thảm được giao làm một số thảm trong 30 ngày. Thực tế xưởng dệt đã tăng năng xuất lên 25% nên sau 25ngay không những đã làm xong số thảm mà còn làm thêm được 20 chiếc nữa. Tính số lượng thảm mà xưởng đã dệt trong 25 ngày
Answers
Gọi số tấm thảm xưởng dệt dệt theo dự định là x ( tấm, x >0 )
⇒ số tấm thảm xưởng dệt dệt trong 1 ngày theo dự định x/30 (tấm)
xưởng dệt dệt đc số tấm thảm trong thực tế là x/20 (tấm)
⇒số tấm thảm xưởng dệt dệt trong 1 ngày thực tế là x+20/25 (tấm)
Vì năng suất tăng 25% nên số tấm thảm dệt được trong 1 ngày thực tế sẽ bằng 125% số tấm thảm dệt đc trong 1 ngày theo dự định nên ta có PT : x+20/25=125% * x/30
me lười làm khúc dưới quá nên tự xử nha.
CSN someone tell me What 9x6+4=?
Answers
Answer:
58
Step-by-step explanation:
Answer:
9x6+4 = 58
Step-by-step explanation:
9×6 + 4
= 54 + 4
= 58
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
Answers
Answer:
V = 288π units³
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or
V = (4π/3)(216 units³), or V = 288π units³
The lines represented by the equations y- 6x = -7 and 24y - 4x = 192 are
Answers
Answer:
negative signs
Step-by-step explanation:
Vasha pays $64.32 for 12 pairs of gloves for the fall. At this rate, how much will she pay for 5 pairs of gloves?
Answers
12 pair=64.32
5 pair=?
first calculate for one pair
one pair= 64.32/12= $5.36
5 pair then would be = $5.36 x 5= $26.8
hope it helps
Answer:
28.6
Step-by-step explanation:
64/12=5.36
5.36x5=28.6
Let me know if I'm wrong.
_+_+_=30
using (1,3,5,7,9, 11, 13, 15)
you can reoeat numbers
Answers
Answer:
There is no answer because you cannot get the sum of 3 odds to make an even number.
Step-by-step explanation:
Hope this helps,
hiiii ^-^ need help again with some math ikr math sucks -v-
Answers
Answer:
5a) -8 . Plan : addition/negative?
5b) -30 . Plan: subtraction/negative?
Step-by-step explanation:
Im not so sure about what "Plan" means, hopefully you know..
5a)
-15 + 7 = 7 - 15 = -8
5b) -10 +(-20) = -10 - 20 = -30
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Below
Step-by-step explanation:
So lets start with the first one:
-15+7
We are going to add these together, and will get -8.
Next we have:
-10+(-20)
When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.
So we can think of this as:
-10-20
And since the -10 is negative, and we are subtracting it, it is going to get more engative:
-10-20=-30
This is the solution answer.
I do not know what the answer to the plan is, i dont understand what plan means.
What is the measure in radians for the central angle of a circle whose radius r = 4 cm, and intercepted arc length s = 1.2 cm? Enter your answer as a decimal in the box. radians
Answers
Answer:
17.1972degrees
Step-by-step explanation:
length of an arc = theta/360 * 2πr
Substitute the given angle;
1.2 = theta/360 * 2(3.14)(4)
1.2 = theta/360 * 25.12
1.2/25.12 = theta/360
0.04777 = theta/360
theta = 360 * .04777
theta = 17.1972
Hence the required angle is 17.1972degrees
What is the slope of a line that is perpendicular to the line y =1/2x+5?
-2
-1/2
1/2
2
Answers
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
Hope it is helpful...
can someone pls help for brainlest
Answers
2. Four $5 bills have the same value as one $20 bill
3. Twenty $5 bills have the same value as one $100 bill
Given: f(x) = 2x4 +10 and g(x) = 4x – 15 What is the value of g f (x)?
Answers
Step-by-step explanation:
g (f(x)) = 4(2x⁴+10)-15
= 8x⁴+40-15
= 8x⁴+25
It requires a minimum of ____ points to make up a plane
Answers
Answer:
2
Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
answer
Three points not lying on the same line define one and only one plane that they all belong to
Please help (add work/reasoning if you can)
Answers
Answer:
A
[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]
Jelissa walked 6 miles in 90 minutes. If she continues at this rate, how long would it take her to travel 8 miles?
Answers
Answer:
120 minutes
Step-by-step explanation:
Jelisa walked 6 miles in 90 minutes
The amount of mile walked in 1 minutes is
= 6/90
= 0.0666666
If she walks 0.066666 miles in 1 minute then in for 8 miles she travels
= 8/0.066666
= 120 minutes
PLEASE HELP QUICK!!! (T•T)
Answers
15- .08
16- 5.6
17- 7/100
18- 3 1/2
19- 2 4/100
An art student is mixing blue paint with yellow paint to create a special color. For every 6 gallons of blue paint, they need 4 gallons of yellow paint.
How much yellow paint will they need if they use 30 gallons of blue paint?
Answers
Answer:
The answer is 20 gallons of yellow paint
Answer:
20 gallons of yellow paint.
Step-by-step explanation:
4/6 = x/30 is the equation.
4 represents yellow paint.
6 represents blue paint.
We know 30 gallon of blue paints was used.
But we dont know x , the amount of yellow paint.
Criss cross bottom to top
6× X = 4×30
6x= 120
x=20
Find the measure of angle 1
120°
45°
30°
90°
Answers
The answer should be 90 degrees
11. Benjamin plotted -1.5 and 1.6 on a number
line. Which point is further from zero?
12.
Times in 50-meter Dash
Runner
Time (s)
Steve
7.41
Mike
7.38
Daniel
7.43
Mauricio
7.25
Four runners ran the 50-meter dash. The
times are shown in the table above.
Which runner had the fastest time?
Answers
Answer:
11 1.6
12 Mauricio
Step-by-step explanation:
11. Take the absolute value of each number to determine which is furthest from zero
|-1.5| and |1.6|
1.5 and 1.6
1.6 is greater than 1.6 so it is further from 0
12. The fastest time is the smallest time
The ones place all has 7's so look at the tenths place
The smallest number will have the fastest time
Mauricio has a 2 which is the smallest number
Mauricio has the fastest time
ASAP I HAVE A MATH FINAL PLEASE
Answers
<2 and <6 -----> Neither
<1 and <4 ------> vertical
Hope it helps you...
The perpendicular of a right angled triangle measures 3m, the area of the triangle 6 sq. m. What are the lengths of the other two sides of the triangle?
Answers
Answer:
the length of the other sides are
4 m and 5 m
Step-by-step explanation:
the area of right triangle = ½× b x h = 6
let b = 3m => h= 2×6/ 3 = 4m
and the hypotenuse = √3²+4²=√25= 5m
Answer:
5m and 4m
Step-by-step explanation:
(area of a right angle triangle)=1/2×b×h
let b = 3m
1/2×6×2=6×2=12/3=4m
and it's hypotenuse= 3
[tex]3 { }^{2} + 4 {}^{2} = \sqrt{25 {}^{2} } [/tex]
= 5m
Solve for x. Round to the nearest tenth of a degree, if necessary PLEASE HELP I HAVE 10 MINS TILL ITS DUE
Answers
Answer:
x = 47.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos x = 8.8 / 13
Take the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1( 8.8 /13)
x = cos ^-1( 8.8 /13)
x =47.39633319
Rounding to the nearest tenth
x =47.4
Answer:
36.9 degrees
Step-by-step explanation:
using SOHCAHTOA we can see that we need to use cos because the sides that are given are the adjacent side and the hypotenuse so u have to divide the adjacent by the hypotenuse which is 8.8/13 and you should get 0.8 after you round to the nearest tenth and then you use your calculator to do cos^-1 (0.8) and you get 36.9 after you round to the nearest tenth of a degree
Which ordered pair is a solution of the equation? x - 5y = -15
Answers
Answer:
x -5y (y -3)=0
Explanation :
x -5y= -15
X- 5y+ 15=0
factorizing
x -5(y-3) =0
Can someone please help me with this? I'll mark brainliest :)
Answers
Answer:
√
√
√
√
√
Step-by-step explanation:
1st row
Growth
2nd row
decay
One of the angles of a parallelograrn is equal to 40°. Find the rest of the angles.
NEED IT QUICK WILL MARK BRAINLIEST 20 POINTS
Answers
Answer:
Angles ⇒ 40°, 40°, 140°, 140°
Step-by-step explanation:
Since the opposite angles of a parallelogram are equal, and the angles in a quadrilateral add up to 360°:
360 - 2(40) = 280
280/2 = 140°
Angles ⇒ 40°, 40°, 140°, 140°
Solve the equation for x and enter your answer below.
-9 + x = -1
Answers
HELP NEEDED NOW !!!! PLEASE
Select all statements that are true. Be prepared to explain your reasoning.
1. 4-2(3+7)=4-2•3-2•7
2. 4-2(3+7)=4+-2•3+-2•7
3. 4-2(3+7)=4-2•3+2•7
4. 4-2(3+7)= 4-(2•3+2•7)
Answers
Answer:
1, 2, and 4 are true statements.
Step-by-step explanation:
1. The positive symbols will become negative once you removed the parenthese. For instance, 2-(3+2)=2-3-2. It’s the same in this problem. 4-2(3+7)=4-(2•3+2•7)=4-2•3-2•7
2. Distributive property. 4-2(3+7)=4+[-2(3+7)]=4+(-2•3+-2•7)
3 is false because the positive symbol is not changed into negative symbol after the parentheses were removed.
4. 4-2(3+7)=4-[2(3+7)]=4-(2•3+2•7)