Answer:
164.85 m
Step-by-step explanation:
You have a right triangle with 60 as the side opposite the 20° angle and you are looking for the adjacent side to that angle.
The trig function to use is the tangent of an angle = opp/adj
Let x = distance from you to the base of plateau
So, tan 20 = 60/x
x tan 20 = 60
x = 60/tan 20
x = 164.85 m
You must memorize the definitions all of the trig functions so you can do a problem like this one. OK?
Danielle has her finals coming up and she's worried she'll fail her class. Her past 3 test grades were a 72. an 85, and a 68. She needs a 70 to pass the class. What grade does she need to make on the final to get a 70?
Answer:
55
Step-by-step explanation:
Simplify the radical expression.
2√10 . 3√12
A.12√60
B.5√120
C.12√30
D.6√120
Simplify the radical expression.
√14q . 2√4q
A.3√56q
B.4q√14
C.2√56q^2
D.4√14q^2
Simplify the radical expression by rationalizing the denominator.
4/√11
A.11√4
B.4√11
C.4√11/11
D.√121/11
Answer:
1) D. [tex]6\sqrt{120}[/tex], 2) C. [tex]2\sqrt{56}q^{2}[/tex], 3) C. [tex]\frac{4\sqrt{11}}{11}[/tex]
Step-by-step explanation:
1) We proceed to simplify the expression given in statement:
(i) [tex]2\sqrt{10}\cdot 3\sqrt{12}[/tex] Given
(ii) [tex](3\cdot 2)\cdot (\sqrt{10}\cdot \sqrt{12})[/tex] Commutative and associative properties
(iii) [tex](3\cdot 2)\cdot (10^{0.5}\cdot 12^{0.5})[/tex] Definition of square root.
(iv) [tex]6\cdot (10\cdot 12)^{0.5}[/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
(v) [tex]6\sqrt{120}[/tex] Definition of multiplication/Definition of square root/Result
Answer: D
2) We proceed to simplify the expression given in statement:
(i) [tex]\sqrt{14}q \cdot 2\sqrt{4}q[/tex] Given
(ii) [tex]2\cdot (\sqrt{14}\cdot \sqrt{4})\cdot (q\cdot q)[/tex] Commutative and associative properties
(iii) [tex]2\cdot (14^{0.5}\cdot 4^{0.5})\cdot q^{2}[/tex] Definition of square root/Definition of power.
(iv) [tex]2\cdot (14\cdot 4)^{0.5}\cdot q^{2}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
(v) [tex]2\sqrt{56}q^{2}[/tex] Definition of multiplication/Definition of square root/Result
Answer: C
3) We proceed to simplify the expression given in statement:
(i) [tex]\frac{4}{\sqrt{11}}[/tex] Given
(ii) [tex]\frac{4}{\sqrt{11}}\cdot \frac{\sqrt{11}}{\sqrt{11}}[/tex] Modulative property/Existence of multiplicative inverse.
(iii) [tex]\frac{4\sqrt{11}}{\sqrt{11}\cdot \sqrt{11}}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]
(iv) [tex]\frac{4\sqrt{11}}{11^{0.5}\cdot 11^{0.5}}[/tex] Definition of square root.
(v) [tex]\frac{4\sqrt{11}}{11}[/tex] [tex]a^m\cdot a^{n} = a^{m+n}[/tex]/Result
Answer: C
Write a unit rate for the situation: 3.5 ounces of mealworms for $8.75.
Answer:
1 ounce of mealworms for $2.50
Step-by-step explanation:
3.5/3.5 = 1 oz
8.75/3.5 = $2.50
1 ounce of mealworms for $2.50
can someone help me please
Answer:
29 3/4
Step-by-step explanation:
60 1/4 + x=90
There are 20 students in the drama club. Next year, 5
students will leave the drama club and some students
will join. If d is the number of students who will join the
drama club, write an expression to represent the total
number of students in the drama club next year.
Answer:
27
Step-by-step explanation:
Let d = number Of drama club members
let y = number of yearbook club members
now you can write two equations, one for the total number of students, and one for the difference between them.
d + y =64
d - y = 10
to solve for d, add these two lines together (so as to remove the y’s)
2d + 0y = 74
d = 37
now substitute back into one of the formulas
d+y=64
37+y=64
subtract 37 from each side,
y = 27
Algebra....one quest one please answer- WILL GIVE BRAINLIEST!!!
triangle:
180(3-2) = 180
180 - (50+90) = 40
x finding:
2x - 10 = 140
2x = 150
x = 75
check:
2(75) - 10 = 140
140 + 40 = 180
Your answer:
x = 75
angle: 140
What is the percent of change from 22 to 11?
Answer:
-50%
Step-by-step explanation:
hope this helps :)
Answer:
It would be - 50% because 11 is half of 22
Step-by-step explanation:
How many solutions are there to this equation
8x – 6 = 2 (4x + 3)
A no solution
B one solution
C two solution
D infinite solution
Answer:
A= no solution
Step-by-step explanation:
SOMONE PLEASE HELP ME ASAP THIS IS DUE TODAY IF YOU HELP ME AND GIVE ME THE CORRECT ANSWER I WILL MARK YOU BRAINLIEST, GIVE YOU A THANK YOU AND GIVE YOU A GOOD RATE BUT PLEASE ANSWER THIS CORRECTLY!!!!!!!!!!!!
Which prism has the greater volume
Answer: Same
Step-by-step explanation: They are both 120
Solve for x.
Need help, please
Given:
The figure of a triangle with mid segment.
To find:
The value of x.
Solution:
According to triangle mid-segment theorem, the mid-segment of a triangle is parallel to the base and the length of the mid-segment is half of the base.
Using the triangle mid-segment theorem, we get
[tex]AB=\dfrac{1}{2}EG[/tex]
[tex]x+14=\dfrac{1}{2}(17+x)[/tex]
[tex]2(x+14)=17+x[/tex]
[tex]2(x)+2(14)=17+x[/tex]
On further simplification, we get
[tex]2x+28=17+x[/tex]
[tex]2x-x=17-28[/tex]
[tex]x=-11[/tex]
Therefore, the value of x is -11.
Manny is covering a book. The front of the book is 11.2 inches high and 7.3 inches wide. What is the area of the front of the book? Enter your answer as a decimal in the box.
Answer:
81.76in^2
Step-by-step explanation:
Given data
Lenght of book= 11.2 inches
WIdth of book= 7.3 inches
We know that Area= Length* Width
Area= 11.2*7.3
Area= 81.76 in^2
Hence the area of the front of the book is is 81.76in^2
need help it final assiement for quater can someone help me with a work sheet questions are like this
The square is shown with a side length of 8 inches.
The area of a square is s^2, which can also be written as s x s, where a is the length of the side.
Area of the square would be 8 x 8 = 64 square inches.
The area of a circle is pi x r^2, where r is the radius. R is given as 3 inches.
The area of the circle is 3.14 x 3^2 = 28.26 square inches.
The shaded area is the square minus the circle.
The shaded area = 64 - 28.26 = 25.74 square inches.
The answer is 25.74 square inches.
Look at my explanation to know the answer clearly.
So, we're supposed to find the area of the shaded part.
In the problem, the shaded part is the square, and the side is 8 in.
Let's apply this formula, A = L · W or A². So, we can multiply the Length and Width to get the area.
The length is 8.
Since we don't have a width, we can use A². We can find 8 to the 2nd power to get the answer.
8 to the 2nd power is 64. How?
1. Break the exponent down.
8² ⇒ 8 × 8
2. Solve.
8 × 8 = 64
Hence, 64 is the answer. Hence, 64 is the answer. Now, we'll need to find the circumference of the circle.
The formula for that is 2 π r²
The radius is 3 in, so let's multiply 2 by 3² by 3.14.
3² × 3.14 = 28.26
Lastly, subtract 64 by 28.26.
64 - 28.25 = 25.74
Hence, your final answer is 25.74in.
I need help as fast as possible
Answer:
36°
Step-by-step explanation:
Given,
Measurement of <3 = 2x+8
Measurement of <4 = 6x+12
Since both are supplementary,
Therefore,
<3 + <4. = 180° [linear pair]
=> 2x + 8 + 6x + 12 = 180
=> 2x + 6x + 8 + 12 = 180
=> 8x + 20 = 180
=> 8x = 180 - 20 = 160
[tex] = > x = \frac{160}{8} [/tex]
=> x = 20
Now as we have got the value of x,
According to the question measurement of <4 is,
<4 = 6×4 + 12 = 24 + 12 = 36° (Ans)
Write a story problem to go with the multiplication problem .
Then, solve the problem.
What value of a makes sind = cos 20° a true statement?
A)
25°
B)
70°
C)
100°
D)
110°
If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy, then the answer is:
A. 5xy + 9yz +3zx + 5x – 4y
B. 5xy + 10yz +3zx + 15x – 4y
C. 5xy – 9yz +3zx – 5x – 4y
D. 5xy + 10yz +3zx + 5x – 6y
Answer:
A. 5xy + 9yz +3zx + 5x – 4y
Step-by-step explanation:
Because it is the "Correct Answer"
Please answer! Will mark brainliest.
-3|5x-2|>4
Answer:
Step-by-step explanation:
eact from : x= 2, 6/5
decial from : x= 2, -1.2
mixed number from :x= 2, - 1 1/5
Answer:
No Solution for x ∈ All Real Numbers
Step-by-step explanation:
-3|5x-2|>4 [multiply either side by -1]
|5x-2|<-4
Now since absolute value expressions are always greater than or equal to 0, 5x-2 can't possibly be negative. Solution: No Solution
find the diameter of a circle whose radius is 38cm
Answer:
Diameter is twice the radius. 76 cm
Step-by-step explanation:
Answer:
The answer is
[tex]2 \times 38 = 76[/tex]
In the Olympics, the athlete received an 85% score on the compulsory exercises, which are weighted 60%. In the optional round, weighted 40%, the athlete received a 90%. What was the athlete's weighted average score?
Answer:
jjhbnjycfgkjjhvgyh hv bv h. bgg h. hb.
Question in pic! help asap!! will give brainliest
Answer:
a6b40c70
Step-by-step explanation:
a6b40c70
Answer: the first one!
Step-by-step explanation:
What is the answer of -√4/49 (its a fraction btw)
Answer:
- 2/7
Step-by-step explanation:
-√4 ÷ 49
-√4/49
= -2/7
What is the slope of y=-6x-3
Answer:
Slope = -6
Step-by-step explanation:
y = mx + b where m is the slope. Here in the equation above, -6 is in the m place which means it is the slope. Hope this helps and stay safe, happy, and healthy, thank you :) !!
Please help me i will mark you brainliest
Answer:
it will be c
Step-by-step explanation:
In a scale model of a television, 1 centimeter represents 5 inches.
Scale
1 cm: 5 in
Answer the following.
X
(a) The length of the real television is 40 inches. What is the
length of the television in the scale model?
I centimeters
(b) In the scale model, the height of the television is 6
centimeters. What is the height of the real television?
inches
Answer:
a)8cm
b)30inches
Step-by-step explanation:
a) The length of the television is 8cm. b) The height of the real television is 30inches
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. A unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given that scale model of television, 1 centimeter represents 5 inches.
Scale
1 cm: 5 in
(a) The length of the reality television is 40 inches.
So, 40 / 5 = 8
Thus, the length of the television in the scale model is 8 inches.
(b) In the scale model, the height of the television is 6 centimeters.
6 centimeters x 5 = 30 inches.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
7.
Alejandra has $600 in her checking account. She wants to spend part of this money on a computer. She wants to have at least $250 left in her checking account after buying the computer. The inequality shown can be used to find t, the amount of money in dollars that Alejandra can spend on the computer.
t + 250 < 600
Which inequality represents all possible values of t ?
Answer:
t ≤ 350
Step-by-step explanation:
Answer:
The answer is t_<350
Step-by-step explanation:
According to a past brainly and an answer from estudyassistant.com. This answer is correct. I will put the proof below
https://brainly.com/question/16925612
https://estudyassistant.com/mathematics/question15520698
0.4(-3.6-0.5x)+0.8(1.9+x)
I NEED ASAP WILL GIVE BRAINLEST
Answer:
here’s the graph
Answer:
0.6x - 12.88
Step-by-step explanation:
Start by distributing the values outside the quantities to the values inside the quantities.
0.4(-3.6-0.5x) + 0.8(1.9 + x)
-14.4 - 0.2x + 1.52 + 0.8x
Combine like terms
-12.88 + 0.6x
Solve for a. Will give out 10 points!
Answer:
a=7
Step-by-step explanation:
3a-10 = 4+a
2a-10 = 4
2a = 10+4
2a = 14
a = 7
CHECK
21-10 = 4+7
11 = 11
Correct
Answer:
A=7
Step-by-step explanation:
Plz no wrong answers i need this plz
Answer:
f. statement #1 is wrong. the probability would be 3/7 since o and e are the only vowels in october
g. statement #3 is wrong. it should be 21 times since there's 3 diamonds and 7x3=21
h. statement #3 is wrong. he's twice as likely to choose a $5 bill since he has twice the amount of $5 bills than $10 bills.
i. statement #2 is wrong. but im not sure about the calculation
j. statement #1 is wrong. the probably should be 3/11 (6/22 = 3/11)
Step-by-step explanation:
The equation shown has an unknown number.
Enter a number that makes the equation true
Answer:
I want to say 3/5, I'm not sure.
Step-by-step explanation:
Answer:
I believe it is 2/7 because you would switch the numerator and the denominator on the second fraction and change the division to multiplication to answer.