find the measure of the indicated angle to the nearest degree
Answer:
[tex]20^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
Let the angle we want to find be [tex]\theta[/tex]. [tex]\theta[/tex]'s adjacent side is 49 and the hypotenuse of the triangle is 52.
Therefore, we have the equation:
[tex]\cos \theta=\frac{49}{52}[/tex]
Take the inverse cosine of both sides:
[tex]\arccos (\cos \theta)=\arccos(\frac{49}{52})[/tex]
Simplify using [tex]\arccos (\cos \theta)=\theta \text{ for }\theta \in (0, 180^{\circ})[/tex]:
[tex]\theta=\arccos(\frac{49}{52}),\\\theta=19.557214,\\\theta\approx \boxed{20^{\circ}}[/tex]
Find m/ELM if m/ELM = 15x - 1, m/KLE = 20°, and m/KLM = 17x - 1.
Answer:
∠ ELM = 149°
Step-by-step explanation:
∠ KLM = ∠ KLE + ∠ ELM , substitute values
17x - 1 = 20 + 15x - 1
17x - 1 = 15x + 19 ( subtract 15x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then
∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°
What is the difference between-5and2
Answer:
7
Step-by-step explanation:
Consider the absolute value of the difference , that is
| - 5 - 2 | = | - 7 | = 7
or
| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7
Answer:
7
Step-by-step explanation:
Difference is - sign so the equation is: 2- -5 which is 7. Or
think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7
Help me in this one pls I give 15 pts
Answer:
I think option b i.e 7 is right but not sure
Which equation is a direct variation function?
y = x
y = 4
y = x2
y = 1/4 x + 2
Answer:
Two choices are correct answer.
y = x and y = 1/4 x
Step-by-step explanation:
We have given four equations.
We have to choose the equations that are direct variation function.
Direct variation function is defined as the relation where one variable vary constant times to the other variable.
let two variables are x and y.
y = kx where k is constant.
Comparing given equation , we notice that
y = x is direct variation function where k = 1.
y = 1/4 x is direct variation function where k = 1/4.
Graph the inequality on a separate sheet of paper. Then explain how you would determine if(-1,-4) is a solution by
looking at the graph.
Step-by-step explanation:
Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not
if f(x+1)=3x+4,find f(x) and f(3).
f(x+1)=3x+4
Let y be x+1 So x=y-1[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]
[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto 3(3)+1[/tex]
[tex]\\ \sf\longmapsto 9+1[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
Yeah I don’t know this
Answer:
very easy how fo you know this question oppps
What is the surface area of the right prism?
92 ft2
46 ft2
48 ft2
70 ft2
(will mark brainliest <3)
=========================================================
Work Shown:
L = 8 ft = lengthW = 3 ft = widthH = 1 ft = heightSA = surface area of the rectangular prism (aka block or box)
SA = 2*(LW + LH + WH)
SA = 2*(8*3 + 8*1 + 3*1)
SA = 2*(24 + 8 + 3)
SA = 2*(35)
SA = 70 square feet
This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.
Let g(x) = f (x+1) - 2, find when g(x) = 12
I don't know how to evaluate this since I have both g(x) and an f(x).
Answer:
f(x +1 ) =14
Step-by-step explanation:
12= f(x +1) -2
f(x +1) = 12 +2
f (x+1 ) = 12
Boston wheel chair marathon how long would it take to run a 30 mile race
what is the area of the figure below?
Answer:
D. 72 [tex]in^2[/tex]
Step-by-step explanation:
The square is 36 in2
The 2 triangles are both 18 in2.
36+18+18=72 in2
I hope this helps!
pls ❤ and give brainliest pls
Answer:
Area is 72 in²
Step-by-step explanation:
= Area of three triangles + area of square.
[tex]{ \bf{ = 3 \times ( \frac{1}{2} b \times h) + (s \times s)}}[/tex]
substitute:
[tex]{ \sf{ = ( \frac{1}{2} \times 6 \times 6) + 2( \frac{1}{2} \times 6 \times 3) + (6 \times 6)}} \\ = { \sf{18 + 18 + 36}} \\ = { \sf{ {72 \: in}^{2} }}[/tex]
Find the area of ABCD
Answer:
Applying Heron's Formula
[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]
[tex]s_1=7[/tex]
[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]
[tex]A_1=10.56[/tex]
Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]
[tex]s_2=11.49[/tex]
[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]
[tex]A_2=24.69[/tex]
Total Area:
[tex]10.56+24.69[/tex]
[tex]=35.25[/tex]
OAmalOHopeO
show the work please and thank you
Answer:
Option a, 13
if you solve it, you get 13 as the answer
³√(5x-1)=4
or, 5x-1=64
or, 5x=65
or, x=13
Horace is running a race. He wonders how fast he is running.
Which unit rates would be reasonable for Horace to use to describe how fast he is running?
Select each correct answer.
a miles per hour
b millimeters per minute
c kilometers per hour
d inches per hour
Answer:
C. Kiometers per hour. I think
Someone please helpp
Answer:
The two equations are similar because they both end up with the same common value. 0=0 The work you need to show that this is correct will be shown below.
Step-by-step explanation:
2(5m−4)−3(m−5)2=−3m2+40m−83
Add 3m^2 to both sides.
−3m2+40m−83+3m2=−3m2+40m−83+3m2
40m−83=40m−83
Subtract 40m from both sides.
40m−83−40m=40m−83−40m
−83=−83
−83+83=−83+83
0=0
If you have any questions regarding my answer please tell me in the comments, I will come and answer them. Have a good day.
find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)
Answer:
-14
Step-by-step explanation:
12mn-8mt+9t²-6mt
12mn+9t²-14mt
the coefficient of mt is -14
The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m) will be -14.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given that
⇒ 4m(3n-2t)+3t(3t-2m)
⇒ 12mn -8mt + 9t² - 6mt
⇒ 12mn + 9t² + 14 mt
Hence it's clear that the coefficient of mt will be -14.
For more information about the expansion
https://brainly.com/question/14447197
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What is the difference of the two polynomials?
(9x2 + 8x) – (2x2 + 3x)
7x2 + 5x
7x2 + 11x
11x2 + 5x
11x2 + 11x
Answer:
The answer is 7x²+5x
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
help me with this question of O math
Answer:
domain is { - 1, 0, 1 }
Step-by-step explanation:
The domain are the values of the input x
Substitute the value from the range y into the equation and solve for x
y = 1
2x + 3 = 1 ( subtract 3 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
-------------------------------
y = 3
2x + 3 = 3 ( subtract 3 from both sides )
2x = 0 , then
x = 0
-------------------------------
y = 5
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Then the domain is { - 1, 0, 1 }
Please help me i will give brainliest!
Answer:
10
Step-by-step explanation:
1x2x2.5=5
5/0.5=10
Answer:
= 40 cubes
Step-by-step explanation:
volume = 2.5×2×1 = 5cm^2
volume of cubes = 0.5×0.5×0.5 = 0.125cm^2
5÷0.125 = 40
= 40 cubes
<RQT is a straight angle. What are m<RQS and m<TQS? (also I know it's 19x+9. I need the numbers like 180 or something) it's degrees.
Answer:
<RQS=103 degrees
<SQT=77
Step-by-step explanation:
19x + 9 = 180 subtract 9 from both sides
19x = 171 divide both sides by 19
x = 9 replace 9 for x in your original
11 x 9 + 4 = 103
8 x 9 + 5 = 77
Answer:
RQS=103°,SQT=77°
SEE THE IMAGE FOR SOLUTION
Help Pls if you want!!!!
Answer:
Its 2.5 percent ladd enjoy
Step-by-step explanation:
Answer:
2 per team and 2 left
Step-by-step explanation:
10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.
4*2 = 8
10-8 = 2
Suppose h” is continuous at x = 2,h' (2) = 0, and h” (2) < 0.
What can you say about the behavior of h at X = 2?
Answer:
Hello,
Step-by-step explanation:
h(x) has a minimum at x= 2. (h(x) is turning down at x=2)
I have suppose that h''(2 + ) <0 and h''(2 -) <0
If the each side of equalaterial triangle is a cm. what is the area?
Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]
Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP
Answer:
70 feet
Step-by-step explanation:
If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.
One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
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Answer:
17.02939
Step-by-step explanation:
Hey I want to make sure my answer for this question is right I think the answer is A but I want to e sure I did it right ༼ つ ◕_◕ ༽つ
Answer:
The correct choice is option C. 4xy√3y
Step-by-step explanation:
√12x^2y^3 + 2xy√3y
√12x^2y^3 = 2√3 xy√y
2xy√3y = 2√3 xy√y
2√3 xy√y + 2√3 xy√y
= 4√3 xy√y
= 4xy√3y
find the measure of the indicated angle to the nearest degree
Answer:
39.401
Step-by-step explanation:
-8(.75)-2(5+-4-4-4)+7(5)(5)
Answer:
183
Step-by-step explanation:
-8(.75)-2(5+-4-4-4)+7(5)(5)
-8(.75) = -6
-6-2(5+-4-4-4)+7(5)(5)
(5+-4-4-4) = (-7)
-6-2(-7)+7(5)(5)
7(5)(5) = 175
-6-2(-7)+175
-2(-7) = 14
-6+14+175=183
PLEASE HELP!!!! The total yield of rice in a farm is 10^8 kg, and the land is10^5 km. What is the output of rice every km? (the answer has to be in exponential form)
Answer:
10^3 kg
Step-by-step explanation:
Think about it that you have the total yield 10^8 kg of rice from 10^5 km^2 of land. You now only want How much does 1 km^2 of land produce. Which can be shown as
10^8/10^5=??/1. To get the denominator to equal one you divide the top and bottom of the first problem by 10^5. 10^8/10^5 is 10^3. So it's 10^3 kg
Answer:
Since −13 is a proper fraction, it cannot be written as a mixed number.