Answer:
[tex]g[/tex] = 22.5°
[tex]f[/tex] = 67.5°
Step-by-step explanation:
Let’s create a system of equations for [tex]f[/tex] and [tex]g[/tex].
Complementary angles are two angles that add up to 90°, so [tex]f+g=90[/tex]
Also, [tex]f[/tex] is thrice of g: [tex]f=3g[/tex]
We can now substitute [tex]3g[/tex] in [tex]f+g=90[/tex] for [tex]f[/tex].
[tex]3g + g = 90\\\\4g = 90\\\\g=22.5[/tex]
Now, we can find [tex]f[/tex] by substituting [tex]g[/tex] into either equation.
[tex]f + 22.5 = 90\\\\f = 90-22.5\\\\f = 67.5[/tex]
Hope this helped!
. If cosec x = √10, cos x =
Step-by-step explanation:
Hey, there!!
Answer: See in pictures.
I hope you are searching this.....
7. Jim is training for a race. Jim ran 9.8 miles away from his home. Then, Jim ran 7.2 miles towards his home. Finally, Jim ran 4.6 miles away from his home. How far is Jim from his home? *
Answer:
stop cheating
Step-by-step explanation:
no
In buffalo, New York the temperature was -12F in the morning. What will the temperature be if it drops 9F
Answer:
The correct answer is -21 degrees.
Step-by-step explanation:
We know that the original temperature was -12 degrees. If the temperature drops another 9 degrees, this means that it is getting colder or the temperature is getting lower; this lets us know that we should subtract 9 from the original temperature. This is modeled below:
-12 - 9
Now, we simply have to perform the subtraction to get:
-21 degrees
Hope this helps!
Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.”
Which represents p ∧ q?
He is wearing a coat or the temperature is below 30°F.
He is wearing a coat and the temperature is below 30°F.
If he is wearing a coat, then the temperature is below 30°F.
If he is not wearing a coat, then the temperature is not below 30°F.
Answer:
b is the answer
Step-by-step explanation:
on edg
A logical operation is a particular symbol or term that joins two or more informational expressions. The correct option is B.
What is Logical operator?A logical operation is a particular symbol or term that joins two or more informational expressions. It is most commonly used to determine if a connection between two sentences is true or untrue.
Given that p ↔ q represents the statement "He is wearing a coat if and only if the temperature is below 30°F.” Therefore, event p is He is wearing a coat, while event q represents the temperature below 30°F.
Now, In p^q, '^' represents the 'and' operator. Therefore, p^q represents He is wearing a coat and the temperature is below 30°F.
Hence, the correct option is B.
Learn more about Logical operator here:
https://brainly.com/question/13092292
#SPJ2
Solve the following equation for x.
3x-9=-33
A.-16
B.-8
C.-9
D-14
Answer:
-8
Step-by-step explanation:
3x-9 = -33
3x= -33+9
3x= -24
x= -24/3
x= -8
hope this helps
The following equation for x. 3x-9=-33 has the valueof x as -8. Thus, option B is correct.
What is the equation?
A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.
The equation that is presented is
3x-9 = -33
3x= -33+9
Simplifying the equation
3x= -24
x= -24/3
The value of x is derived as
x= -8
Therefore, option B is the correct option.
Learn more about equations, here:
https://brainly.com/question/10413253
#SPJ2
PLS help :) Use complete sentences to describe the sum of CA and AB.
Answer:
CA+AB=CB
Step-by-step explanation:
CA + AB = CB
The lines CA and AB will sum up to CB.
What are collinear points?Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.
Given here: CA and AB along the same line CB also A,B,C are collinear also ∠DAB+∠CAD=180 as they are adjacent angles and thus are supplementary. Therefore CA+AB=CB
Hence, The lines CA and AB will sum up to CB.
Learn more about the lines here:
https://brainly.com/question/11806229
#SPJ2
IF DE = 3x+8, EF = 4x+6, and DF = 28, find the value of x. [In your solution,
put x = YOUR ANSWER
Answer:
x = 2
Step-by-step explanation:
Since, points D, E and F are collinear.
Therefore,
DF = DE + EF
28 = 3x + 8 + 4x + 6
28 = 7x + 14
28- 14 = 7x
14 = 7x
[tex] \frac{14}{7} = x \\ 2 = x \\ \huge \red { \boxed{x = 2}}[/tex]
h(x) = 2^x
Solve the equation h^-1 (x) =0.5
Answer:
The answer is
[tex]\sqrt{2} \: \: or \: \: 1.414[/tex]Step-by-step explanation:
[tex]h(x) = {2}^{x} [/tex]To solve the equation we must first find h-¹(x)
To find h-¹(x) equate h(x) to y
That's
[tex]y = {2}^{x} [/tex]Next interchange the terms
x becomes y and y becomes x
That's
[tex] {2}^{y} = x[/tex]Make y the subject
Take logarithm to base 2 to both sides
That's
[tex] log_{2}( {2} )^{y} = log_{2}x \\ y log_{2}2 = log_{2}(x) [/tex]But
[tex] log_{2}(2) = 1[/tex][tex]y = log_{2}(x) [/tex]So we have
[tex] {h}^{ - 1} (x) = log_{2}(x) [/tex]Now we can solve the equation
We have
[tex] log_{2}(x) = 0.5[/tex]Convert the logarithm into exponential form using the fact that
[tex] log_{a}(x) = b \: \: \cong \: \: x = {a}^{b} [/tex]So we have
[tex]x = {2}^{0.5} [/tex]But
[tex] {2}^{0.5} = \sqrt{2} [/tex]So we have the final answer as
[tex] \sqrt{2} \: \: or \: \: 1.414[/tex]Hope this helps you
christa spends 30% of her weekly income rent. if her rent is $360 each week, find her weekly income.
Answer:
1200
Step-by-step
$360= 30%
$12= 1%
12*100= 1200
Check
1200/0.3=360
-5(6x+3y-1)
What is this simplified
Answer:
Step-by-step explanation:-30x-15y+6
Answer:
− 30 x − 15 y + 5
Just distribute and combine like terms
If you want the complete steps just ask!
Hope this Helps!!
Hi please help me solve this the topic is on circle geometry, whoever answers will be marked as the brainiest.
=====================================================
Explanation:
Line PR is tangent to the circle at point T. Angle PTO is 90 degrees because of this.
Angle TON is 124 degrees. Triangle TON is isosceles (since we have two sides of the triangle TO and ON equal to the radius). Therefore angles OTN and ONT are equal base angles. Call these x for now
-------
Since 3 angles of any triangle always add to 180, we can say...
x+x+124 = 180
2x+124 = 180
2x = 180-124
2x = 56
x = 28
Therefore,
angle PTN = (angle PTO) + (angle OTN)
angle PTN = 90 + 28
angle PTN = 118
Answer:
d is the answer
6
In the proportion
21
k
the value of k is
10.
Answer:
I don't understand what you are asking, please ask the question with more info
Step-by-step explanation:
Which pair of points has a slope of 4? Question 4 options: (0, 4), (4, 0) (3, 0), (–1, –1) (0, –3), (1, 1) (1, 4), (–1, 4)
Solve 6x + 12 = 6x + 12
How do you solve?
Answer:
The question has an infinite solution
Please help asap!! Thank you
Answer:
The answer is #1
Step-by-step explanation:
If it orginially (30) (97) thats the answer you want, check out the other questions.
30(100-3) = (30) (97)30 ( 90 -3) = (30) (87)30( 97 - 97) = (30) (0)30 (90 - 7) = (30) (93)number one is the only one to the original therefore
30 (100-3) = (30) (97).
Each type of ball represents a different digit (0-9) that
remains consistent across the three equations.
Figure out the number that matches each of the balls
and explain your reasoning.
Answer:
I think the
basketball = 2
football = 4
soccer ball = 0
Step-by-step explanation:
Why because
2+2 = 4 and + =
2×2 = 4 and × =
4+0 = 4 and +⚽ =
Which means that even if basketball is getting added or multiplied it will get the same answer and 2 will gets same answer (4) when it's multiplied or added. In conclusion = 2 = 4 and ⚽ = 0
Which of the following is also known as AR
simply the expression of 3x+6-2x+7
Answer:
ok so add the two X's together
-2x+3x=1x
then at 6 and 7= 13
so answer is 1x+13
Step-by-step explanation:
Answer:
x +13
Step-by-step explanation:
3x+6-2x+7
Combine like terms
3x-2x +6+7
x +13
Use the binomial theorem to expand the binomial (x + -2y)8.
x8 + 8x6y + 28x7y2 + 56x5y4 + 70x5y4 + 56x3y7 + 28x2y +
8xy + y 8
x8 + 8x7y + 28x6y2 + 56xy3 + 70x4y4 + 56x3y5 + 28x2y6 +
8xy7 + y8
x8 + 16x7y + 112x6y2 + 448x5y3 + 1,120x4y4 +
1,792x3y5 + 1,792x2y6 + 1,024xy7+ 256y8
256x8 + 1,024x7y + 1,792x6y2 + 1,792x5y3 + 1,120x4y4 +
448x3y5 + 112x2y6 + 16xy7 + y8
Answer:
256x8y8256+2x8y8+56x3y7+28x7y2+126x5y4+x8+1048x7y+1932x6y2+2240x5y3+2310x4y4+2296x3y5+1932x2y6+1048xy7+y8+8x6y+56xy3+28x2y+8xy
Step-by-step explanation:
Generate a plan and describe the steps needed to solve the equation. 34 = –(m + 3)
Answer:
m=−37
Step-by-step explanation:
34 = -3 + -1m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add 'm' to each side of the equation.
34 + m = -3 + -1m + m
Combine like terms: -1m + m = 0
34 + m = -3 + 0
34 + m = -3
Add '-34' to each side of the equation.
34 + -34 + m = -3 + -34
Combine like terms: 34 + -34 = 0
0 + m = -3 + -34
m = -3 + -34
Combine like terms: -3 + -34 = -37
m = -37
Answer:
Sample Response:
The negative sign outside the parentheses represents –1. Distribute the –1 to everything inside the parenthesis. Use the addition property of equality first to add 3 to both sides. Then use the division property of equality to divide both sides by -1.
8a + 12b = 92 6a – 4b = 4 -- a =? b = ?
Answer:
a = 4 b = 5
Step-by-step explanation:
8a + 12b = 92......eqn 1
6a - 4b = 4......eqn 2
multiply eqn 2 by 3
18a - 12b = 12.....eqn 2
add eqn 1 and 2 to eliminate b
26a = 104
a = 4
put a = 4 into eqn 2
18(4) - 12b = 12
72 - 12b = 12
72 - 12 = 12b
60 = 12b
5 = b
A rectangular parking lot has a length that is 8 yards greater than the width. The area of the parking lot is 560 square yards. Find the length and the width.
Answer: length=28, width=20
Step-by-step explanation:
Let x=width, then length=x+8
x(x+8)=560
x²+8x=560
x²+8x-560=0
(x-20)(x+28)=0
x=20 or x=-28 (rej) since a width can't be negative
20+8=28
Hope this helps!! :)
Please let me know if you have any question
I need help with this question
Answer:
x = (3√2)/2
Step-by-step explanation:
In the isosceles right triangle the side lengths have the ratio ...
1 : 1 : √2
This means the short leg (x) is 1/√2 times the length of the hypotenuse. You want the ratio with a rational denominator, so you need to multiply numerator and denominator by √2.
[tex]x=3\cdot\dfrac{1}{\sqrt{2}}=3\cdot\dfrac{\sqrt{2}}{(\sqrt{2})^2}\\\\\boxed{x=\dfrac{3}{2}\sqrt{2}}[/tex]
5. A giraffe is twice as tall as its baby. The baby's height and the mother's height total 4.5m. How tall is the baby? How tall is the mother?
Answer:
Step-by-step explanation:
call x the mother deer, y the baby deer, we have x = 2y
x + y = 4,5 ---> x = 3, y = 3/2
Answer:
2.25
Step-by-step explanation:
4.5 / 2
L is between points O and P. OP is 25 and LP is 17. What is OL? (Write as a number only)
Answer:
8
Step-by-step explanation:
2+9x=3(4x+1)-1
Find each solution
Answer:
x = 0
Step-by-step explanation:
Given
2 + 9x = 3(4x + 1) - 1 ← distribute and simplify right side
2 + 9x = 12x + 3 - 1
2 + 9x = 12x + 2 ( subtract 9x from both sides )
2 = 3x + 2 ( subtract 2 from both sides )
0 = 3x ( divide both sides by 3 )
x = 0
triple a number less than 8
2 tripled is 6
2 x 3 = 6
Hope this helps! : )
Answer:
1x3=3
2x3=6
3x3=9
4x3=12
5x3=15
6x3=18
7x3=21
8x3=24
Picture below for Question
Answer:
i think its c.
Step-by-step explanation:
WILL GIVE BRALIEST!!!! PLEASE HELP FOR THESE ARE MY LAST QUESTION!!! AT LEAST TAKE A LOOK!!! EASY I AM JUST DUMB
Which statements describe characteristics of an AND inequality? (Select all that apply.)
A) Values in the solution set satisfy both inequalities.
B) It is the intersection of two solution sets.
C) Shading generally occurs to the right or the left of the named values.
D) It is the union of two solution sets.
Answer:
A) Values in the solution set satisfy both inequalities.
B) It is the intersection of two solution sets.
Step-by-step explanation:
We denote intersection as AND.
[tex]A \cap B \implies \text{A and B}[/tex]
Take those sets. The intersection is what A and B share.
The following table gives the result of a random sample of upper level students at Rocky Vista
University (the Fighting Prairie Dogs!), along with a mosaic plot.
100.0%
90.0%
80.0%
70.0%
Grade Level
Junior
14
22
15
Employment Status
Currently working
Not working but have had a job
Never had a job
60.0%
Senior
30
40
10
50.0%
40.0%
30.0%
Employment status
Never had a job
Not working but did in the past
. Currently working
20.0%
10.0%
0.0%
Junior
Senior
Grade Level
(a) Calculate the proportion of Juniors that are (1) currently working, (2) not working but have
had a job, and (3) never had a job.
Answer:
Juniors Currently Working: 14/51 = 0.27; Not Working but Have Had a Job: 22/51 = 0.43; Never Had a Job: 15/51 = 0.29.
Seniors Currently Working: 30/80 = 0.38; Not Working but Have Had a Job: 40/80 = 0.5; Never Had a Job: 10//80 = 0.13.
There is an association between employment status and grade level. Depending on whether the student is a senior or junior impact the likelihood of their employment status. For instance, more seniors are likely to be currently working than juniors.