PLZ HELP ME OUT WITH THIS!!!!!!!!
Answer:
B. 25√3
Step-by-step explanation:
Use trigonometric ratio formula to find the length and width of the rectangle
Thus:
✔️Length of diagonal:
Reference angle = 30°
Hypotenuse = 10
Let length of rectangle = x = adjacent side
Therefore:
Cos 30° = x/10
10*cos 30 = x
10*√3/2 = x (cos 30 = √3/2)
5√3 = x
x = length of rectangle = 5√3
✔️Width of diagonal:
Reference angle = 30°
Hypotenuse = 10
Let width of rectangle = y = opposite side
Therefore:
Sin 30° = y/10
10*sin 30 = y
10*½ = y (sin 30 = 1/2)
5 = y
y = width of rectangle = 5
✔️Area of rectangle = length * width = 5√3 * 5 = 25√3
Adam is working two summer jobs, making $9 per hour washing cars and $8 per hour walking dogs. Last week Adam earned a total of $116 and worked 6 more hours walking dogs than hours washing cars. Determine the number of hours Adam worked washing cars last week and the number of hours he worked walking dogs last week.
.
Consider WXY and BCD with X= C, WX = BC, and WY = BD. Can it be concluded that WXY = BCD by SAS?
Answer:
nswer:- B. No, because the corresponding congruent angles listed are not the included angles. Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD. We can see that ∠X and ∠C are not included angles by the corresponding equal sides.
Answer:
Yes
Step-by-step explanation:
I will write it in the form of a theorem
Given:
X=C; WX=BC;WY=BD
To prove:
WXY = BCD
Proof:
X=C (This is a angle)
WX=BC
WY=BD
Since there is an angle between two equal side for both triangle WXY is congruent or '=' BCD ny SAS.
Please help!!!!!!!!!!
Answer:
By hypotenuse - side test (HL) the two triangles are congruent.
Step-by-step explanation:
In ∆ABC and ∆DCB
i) angleABC = angleDCB.....(each 90°)
ii) BC = BC .....( common side)
iii) AC = DB.....(given)
therefore by hypo-side test ∆ABC congruent ∆DCB
Answer:
HL
Step-by-step explanation:
∠B ≅ ∠C = 90°
AC = DB {Given and they are hypotenuse}
BC = CB {Reflexive property}
ΔABC ≅ ΔDCB {HL congruent}
JJ purchases almonds in bulk at the supermarket. Which best describes the slope of the line graphed?
Answer: D
Step-by-step explanation:
verify the identity
[tex]cot(x-\frac{\pi }{2} )[/tex] = - tan x
please show all steps
Answer:
Step-by-step explanation:
[tex]\tan (x-\frac{\pi }{2} )=\frac{tan~x-tan~\frac{\pi }{2} }{1+tan~x~tan~\frac{\pi }{2} } \\or~\cot(x-\frac{\pi }{2} )=\frac{1+\tan~x~\tan\frac{\pi }{2} }{\tan~x-\tan~\frac{\pi }{2} } \\divide~the~R.H.S. ~by~\tan ~x~\tan~\frac{\pi }{2} \\=\frac{\cot~x~\cot~\frac{\pi }{2} +1 }{\cot~\frac{\pi }{2} -\cot~x} \\\cot\frac{\pi }{2} =0\\\cot(x-\frac{\pi }{2} )=\frac{\cot~x ~\times~0+1}{0-\cot~x} \\\cot~(x-\frac{\pi }{2} )=-\frac{1}{\cot~x} =-\tan~x[/tex]
Can you help me with a question?
Answer: I think it s 8
Step-by-step explanation:
5 + 7 + 5 + 7 = 24 and 24/3 = 8
Q1:The number of students in a chess club decreased from 23 to 13. What is the percent decrease? Round your answer to the nearest percent.
The percent decrease is ? %.
Q2:The price of a pair of shoes increases from $68 to $81. What is the percent increase to the nearest percent?
The percent increase is ? %.
Answer:
Step-by-step explanation:
23 x .565 = 12.995
12.995 rounded is 13.
So if the answer is .565, and you need to round to the nearest percent, it would be 57%.
Answer:
Step-by-step explanation:
1) Decreased students = 23 -13 = 10
Decreased percentage = [tex]\frac{10}{23}*100[/tex]
[tex]= \frac{1000}{23}\\\\= 43.47[/tex]
= 43%
2) Increased amount = 81 - 68 = $ 13
Increased percentage = [tex]\frac{13}{68}*100[/tex]
[tex]= \frac{1300}{68}\\\\= 19.11[/tex]
= 19%
solve for x
this is really difficult
Answer:
all the angles in a triangle will add to 180
65 + 57 + 2x = 180
subtract the 65 and 57 from both sides
2x = 58
x = 29
D) 29
hope this helps :)
Step-by-step explanation:
Answer: x=29
Step-by-step explanation:
In a triangle, the sum of the measures of all angles is 180 degrees.
Therefore, we can add up all the angles in this triangle, setting them equal to 180:
65+57+2x=180
Using the equation above, solve for x:
Simplify:
122+2x=180
Subtract 122 from both sides:
(122+2x)-122=180-122
Simplify:
2x=58
Divide both sides by 2:
2x/2=58/2
Simplify:
x=29
(WILL MARK BRAINLIST)
on a road trip to wisconsin, Lisa and Gavin drove for 3 hours. they traveled 180 miles in that amount of time. What was their rate or speed (miles PER hour)?
Answer:
60
Step-by-step explanation:
180 divided by 3 is 60 so its 60mph
Answer:
60 miles per hour
Step-by-step explanation:
To get the mph, you have to divide the miles traveled by the time, so 180 divided 3 = 60 mph.
(hope this helps!)
A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}
Find the intersection: A Intersects withB.
{7, 9}
{1, 2, 3, 4, 5, 6, 7, 9}
{1, 3, 5}
{2, 4}
Answer:
A∩B={7,9}
Option A is correct option.
Step-by-step explanation:
We are given:
A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}
and we need to find A intersects with B i.e. A∩B
We find A intersects with B, we will consider only those terms that are common in both A and B
So,
A∩B= {3, 5, 7, 9} ∩ {1, 2, 4, 6, 7, 9}
As 7 and 9 are only common in both A an B
A∩B={7,9}
So, we get: A∩B={7,9}
Option A is correct option.
2x2x2x2x2x2x2x2/2x2x2x2
Simplify. Rewrite the expression in the form 2^n
The solution of the expression in the form of 2ⁿ is,
⇒ 2⁴
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
We have to given that;
The expression is,
⇒ (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2) / (2 x 2 x 2 x 2)
Now, We can write the expression in the form of 2ⁿ as;
⇒ (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2) / (2 x 2 x 2 x 2)
⇒ 2⁸ / 2⁴
⇒ 2⁸ ⁻ ⁴
⇒ 2⁴
Thus, The solution of the expression in the form of 2ⁿ is,
⇒ 2⁴
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
Use the Associative Property to write an expression equivalent to(4x + y) + 8
Question from ucscout need help asap
Answer:
A.S.A congurency.
please mark me brainliest and follow me my friend.
Given that 2 + h − 4 = 0 has no roots. Find the ranges of value of .
Answer:
here is your answer.....
Step-by-step explanation:
2 + h - 4 = 0
LHS:
2 - 4 + h
-2 + h
Therefore:
-2 + h = 0
h = 0 - 2
h = - 2
SO,
the value of h is -2
It snowed from 9:43 PM to 11:37 PM. How long was it snowing?
Answer:
1 hour and 54 minutes and ignore this stuff sjsjsbdbsj
Answer:
An hour and 54 minutes lol
Step-by-step explanation:
PLEASE HELP!
Solve.
(6√6)^-x+3 = 1/6 x 216^2x-3
Answer:
x= 29/15
Step-by-step explanation:
Can anyone help??
Thx if you can!
Explain why -6, -3, 0, 3, and 6 were selected for the x-values in the table.
Answer:
you need a wide range of values in order to draw an accurate line ideally values that are not to close to each other
please simplify this! whoever gets its correct i will mark your comment as a brainliest !
Answer:
Step-by-step explanation:
6x^8 X y^5
4x^5 X z^8
12a^9 X b^7
6s^9 X t^3
What is the perimeter
What is X=
Answer:
Step-by-step explanation:
Perimeter = 5+x+5+x = 10 + 2x
10 +2x = 120
2x = 110
x = 55
The range of the integers 20, 6, 18, -15, -12 is
a) 20
b) 35
c) -25
d) -15
Answer:
B. 35
Step-by-step explanation:
The range of a set of numbers is the difference between the highest and lowest numbers in the set.
1. Find the highest and lowest numbers from the set. Arranging them from least to greatest can make this easier.
-15, -12, 6, 18, 20
The lowest number is -15 and the highest is 20.
2. Subtract these two numbers to find the range.
20 -- 15
Two minus signs like that make a positive, so it becomes an addition problem.
20 + 15 = 35
Answer is b.
I also think the right option is B)- 35
You are going to an amusement park over Spring Break. The cost of admission to enter the park is $30 and the rides are an additional $6 each. If your parents give you $100 to spend at the amusement park, what is the maximum number of rides you can go on? Write an inequality to show the maximum number of rides you can go on.
Answer:
30+6x ≤ 100 (inequality)
The maximum amount of rides is 11 rides
Step-by-step explanation:
So first the admission fee is 30
Each ride is 6
So since you can go on any amount of rides, its unknown so (x)
You only have a 100 dollars and you can’t go over but you can go lower
so 30+6x≤100
If you solve it
x≤11
So 11 rides
Sarah invests $6000 in an annually compounded account with an interest rate of 1.7% for 8 years. What is the balance of her account after those 8 years?
Answer:
c
Step-by-step explanation:
i think
the base Dimensions of a rectangular box are 1.5×10 to the second power centimeters by 4.3×10 to the first power centimeters find the base area of the box right answer and say scientific notation and round coefficients to the nearest
Answer:
[tex]Area = 6.5 * 10^3cm^2[/tex] or [tex]Area = 6.5E3\ cm^2[/tex]
Step-by-step explanation:
Given
[tex]Width = 1.5 * 10^2cm[/tex]
[tex]Length = 4.3 * 10^1cm[/tex]
Required
Determine the Area
The base area is calculated as:
[tex]Area = Length * Width[/tex]
[tex]Area = 1.5 * 10^2cm * 4.3 * 10^1 cm[/tex]
Reorder the expression
[tex]Area = 1.5 * 4.3 * 10^1 cm* 10^2cm[/tex]
[tex]Area = 6.45 * 10^1 cm* 10^2cm[/tex]
Apply law of indices
[tex]Area = 6.45 * 10^{1+2}cm^2[/tex]
[tex]Area = 6.45 * 10^3cm^2[/tex]
Approximate
[tex]Area = 6.5 * 10^3cm^2[/tex]
or
[tex]Area = 6.5E3\ cm^2[/tex]
Express 36 minutes as a fraction of an hour. 36 minutes= _____hours
Answer:
6/10 hours
Step-by-step explanation:
36 minutes/ 60 minutes
divide by 6 on both sides
36/6= 6 60/6=10
6/10 hours
probably bad explaining but hope this helps :)
For what value of the number k is the following function differentiable at x=2
f(x) = {2x + 1 if x<2
k x=2
3x-1 x>2}
Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
Charlotte's friend Tiana is making beignets to sell at Mardi Gra. Tiana has 6 bags of powdered sugar. Each beignet requires 1/4 bag of sugar How many beignets can Tiana make?
Answer:
Tina will be able to sell 24 beignets
HELP URGENT WILL GIVE BRAINLIEST
Answer:
A. parabola I believe that is the answer
An airplane travels at a constant speed of 575 miles per hour write and equation that can be used to determine
Answer:
ok so you need to just do
Step-by-step explanation:
y x 575 = 575
constant