Answer:
a = 22
Step-by-step explanation:
[tex]cot \: 4a = tan \: (a - 20)....(given) \\ \\ \implies \: tan(90 - 4a) = tan \: (a - 20) \\ [\because \: cot \theta = tan(90 \degree - \theta) ]\\ \\ \implies (90 - 4a) = tan(a - 20) \\ \\ \implies \: 90 + 20 = 4a + a \\ \\\implies \: 110 = 5a \\ \\ \implies \: a = \frac{110}{5} \\ \\ \huge \red{ \boxed{\implies \: a = 22}}[/tex]
A field is a rectangle with a perimeter of 1110 feet. The length is 100 feet mora than the width. Find the width and length of the rectangular field
Answer:
W: 455 ft
L :.655 ft
Step-by-step explanation:
I did the math if it's wrong I'm so sorry but I'm 99.9% sure it's right.
(01.06 LC)
Which of the following statements best describes adjacent angles?
O Adjacent angles are vertical.
O Adjacent angles are supplementary.
O Adjacent angles share interior points.
O Adjacent angles share a side.
Answer:
(d) Adjacent angles share a side
Step-by-step explanation:
Adjacent angles share a side and a vertex. They have no interior points in common.
__
In the attachment, 'a' and 'b' are adjacent angles.
factorize 35-12x + x^2
Answer:
[tex]35-x(12-x)[/tex]
Step-by-step explanation:
[tex]35-12x+x^2=35-(12x-x^2)[/tex]
Factor out x from the parenthesis
[tex]35-x(12-x)[/tex]
Hope this helps :)
Have a nice day!
Answer:
[tex](x - 7)(x - 5[/tex]
My solvation is on the picture, Hope it helps and brainliest if correct.
Herman is drawing a rectangle with a base that is
four times the length of its height. The perimeter of
his rectangle is 60 feet. How long are the base and
height of Herman's Rectangle?
heightAnswer:
12
Step-by-step explanation:
(x representing the smallest size)
x + 4x = 60
5x = 60
x = 12
the height is 12
to confirm:
12 x 4 = 48
48 + 12 = 60
The graph below shows y as a function of x.
What is the relationship between x and $y$ in the graph?
A
As x increases, y increases.
B
As x increases, y decreases.
C
As x increases, y increases, then y decreases, then y increases again.
D
As x increases, y decreases, then y increases, then y decreases again.
Answer:
As x increases, y increases, then y decreases, then y increases again.
Step-by-step explanation:
The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.
Option C is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The graph has the following coordinates.
(0, 0), (3, 3), (4, 0), (5, -4), and (9, 0)
Now,
We see that,
From (0, 0) to (3, 3),
y increases as x increases.
And,
From (3, 3) to (4, 0).
y decreases as x increases.
And,
From (4, 0) to (5, -4).
y decreases as x increases.
And,
From (5, -4) to (9, 0).
y increases as x increases.
Thus,
The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ2
SOLVE & SHOW YOUR WORK !!!!
Answer:
Step-by-step explanation:
You have to assume that the triangles are congruent or at least similar. If they are not, the question isn't possible.
If that is so, then <M and <X are equal.
You can find < M by stating that 20 degrees.
That's because <L + <M + <N = 180 degrees. All triangles have 180 degrees.
<L = 70 Given
<N= 90 So marked.
70 + <M + 90 = 180
<M = 20 degrees.
<X = <M
<X = 20
~giving brainliest for answering this one question~
Answer: 3 minutes 50.51 seconds
Step-by-step explanation:
10/100 of a second = 0.1 second
So the American's time = 3 minutes 50.61 second - 0.1 second
= 3 minutes 50.51 seconds
Please help will give 50points
Answer:
a=10
Step-by-step explanation:
Using Pythagoras theorem
[tex] {(a + 2)}^{2} + {( a- 5)}^{2} = {(a + 3)}^{2} [/tex]
[tex] {a}^{2} + 4a + 4 + {a}^{2} - 10a + 25 = {a}^{2} + 6a + 9[/tex]
simplify:
[tex] {a}^{2} - 12a + 20 = 0[/tex]
(a-2)(a-10)=0
hence a= 2 or a=10 however we must reject 2 as the lengths of the triangle cannot be negative eg. the side for a-5 will be equivalent to -3 cm which is not possible for lengths to become negative
Which sides can make a triangle the question is in the photo
Answer: I believe it is 10cm 9cm 9cm
Step-by-step explanation:
Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
The Answer is C 165$
Step-by-step explanation:
Final price = original price x ((100 - % off) / 100)
final price = 220 x ((100 - 0.25) / 100)
What is 11 4/8 - 5 6/8
Answer:
= 114/8-56/8
= 14.25-56/8
= 14.25-7
= 7.25
Step-by-step explanation:
This is Bedmas so remember brackets, exponents, addition, multiplication and subtraction.
I hope this helps!!
Answer:
46/8 is the answer
hope it help
Someone please help me I have to turn this in tomorrow
if p= (-2 4) then find Ry=1 (p)
Please Help
The reflection mapping of the equation p(-2, 4) is [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]
To solve this question, we must understand what is reflection mapping is all about.
What is reflection mapping?In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.
From the given information, we have:
The given points P = (-2, 4)
Required to find:
[tex]\mathbf{R_{y =1}(P)}[/tex]
Hence, the image of P under the axis(point of reflection line) is y = 1
The mapping of this reflection in line is y = kThus,
[tex]\mathbf{(x,y) = (x,2k-y)}[/tex]
[tex]\mathbf{(x,y) = (-2,2(1)-4)}[/tex]
[tex]\mathbf{(-2,4) = (-2,-2)}[/tex]
Therefore, we can conclude that the [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]
Learn more about reflection mapping here:
https://brainly.com/question/25998325
Josh's desk is 36 inches tall. When
he meaured the desk using a yard
stick, it was 1 yard tall. Why did the
number decrease when he
measured with the yard stick?
Find the value of × in each of the following
a)5+1=11
b) 2x-3=2
Step-by-step explanation:
a,it doesn't have variable
b,2x-3=2
2x=2+3
2x=5
2x/2=5/2
x=5/2
Write as a mathematical expression: The product of 5 and x, increased by 3
Answer:
[tex]5x + 3[/tex]
Step-by-step explanation:
(5 × x) - Product of 5 and x
=5x
increased by 3
5x +3
Four times the number of mangoes Mark picked equals the number Jordan picked for a week. If Jordan picked 20 mangoes each day, how many mangoes did Mark pick?
Answer:
5
Step-by-step explanation:
The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5
3p^2+2p-8 factor the common factor out of the expression?
Answer:
3p²+2p-8
3p²+6p-4p-8
3p(p+2)-4(p+2)
= (3p-4)(p+2)
could you write 378972 with commas
Yes, It can be written with commas
It will be,
[tex]378 , 972[/tex]
Remeber that: Comma is always put after interval of three numbers. First three, Then three and so on...I need help with some questions ASAP in the law category. It's actually personal finance but it doesn't give you that option. answer whatever and you still get the points. (:
help plsssssssssssss
Answer:
27+72x
Step-by-step explanation:
ous5ourskhrskysr
can someone problem solve a side of a square?
Answer:
yeah
Step-by-step explanation:
give me the pic and ill solve
the area of the square is 144 square meters. the length is 12 m
Graph 3x-4y=-12 using intercepts.
Will mark brainliest if right
Answer:
See the attached file
There is also this app "desmos" it helps in this just put the equation in there
Answer:
Read below
Step-by-step explanation:
Slope-intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)1. Rewrite 3x - 4y = -12 into slope-intercept form:
3x - 4y = -12 [subtract 3x from both sides]
3x - 3x - 4y = -12 - 3x
-4y = -3x - 12 [divide both sides by -4]
-4y ÷ -4 = -3x - 12 ÷ -4
[tex]\implies y =\dfrac{3}{4}x + 3[/tex]
Note: with the slope-intercept form, we can quickly see that the y-intercept is (0, 3)
2. Randomly choose x-values that can help you graph the equation:
When x = -8:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-8) + 3\\\\y =-\dfrac{24}{4} + 3\\\\y =-6 + 3\\\\\implies y=-3[/tex]
coordinate: (-8, -3)
When x = -4:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-4) + 3\\\\y =-\dfrac{12}{4} + 3\\\\y =-3 + 3\\\\\implies y=0[/tex]
coordinate: (-4, 0)
When x = 8:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(8) + 3\\\\y =\dfrac{24}{4} + 3\\\\y =6 + 3\\\\\implies y=9[/tex]
coordinate: (8, 9)
Graph these coordinates and draw a linear (straight) line through them.
Translate the sentence into an equation.
Six less than the product of 4 and a number equals 2 .
Use the variable c for the unknown number.
Answer:
(4xc)-6=2 then c=2
Step-by-step explanation:
because we knew that we had to do 6+2=8 so then 8 divided by 4 = 2 so the answer would be 2!
Answer:
(4c) - 6 = 2
4c - 6 = 2
c = 2
Both equations will work.
Step-by-step explanation:
"The product of 4 and a number" is the same as 4 times that number.
Since the missing number is to be said as c, the correct term for this is 4c
6 less than (4c) is the same as (4c) - 6
We have the left-hand-side of the equation as (4c) - 6
The right-hand side is 2
(4c) - 6 = 2or4c - 6 = 2Now, we have to solve for c.
-Chetan K
I was not in class when we did this and i have no idea what the answer is so if someone could help that would be wonderful
Answer:
12 < x < 13
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
a is 6, b is 11, c is x.
We have to first replace the items in the Theorem, do the exponents, then add.
1) 6^2 + 11^2 = x^2
2) 36 + 121 = x^2
3) 157 = x^2
To finally solve it we must square root everything
4) sqrt(157) = sqrt(x^2)
5) x = 12.52
So x has to be between 12 and 13
PLEASE HELP ME PLEASE ITS DUE TODAY
$3.13 is the answer like it please thanks
where do you get .28 from ?
Answer:
Percentage.Fraction.Step-by-step explanation:
0.28 is like a percentage.
If so, then you can use 2 examples:
0.28 * 32.28% of 32.The most simple way of getting it is fractions.
2 examples:
28/10028/100 * 32.Find the area of following figures
Answer:
AB=8
CD=7
EF=2.4
FA=2
SOLN
ab+cd+ef+fa
8+7+2.4+2
19.4
An airplane flies
170 miles in 2 hours
42 minutes. What is
its average speed in
miles per hour?
Answer:
The average speed is 62.96mph. Hope this helps! :)
Step-by-step explanation:
PLEASE HELP ME I think i know the answer but im not sure
Answer:
2537
Step-by-step explanation:
3/5 of 4,283.30 = 2569.98
2569.98 - 19.99 = 2549.99
2549.99 - 12.99 = 2537