Answer:
See solution below
Step-by-step explanation:
Given the expression
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\[/tex]
Recall that
cos x = sin(90-x)
cos(x+30 ) = sin (90-(x+30)
= sin(90-x-30)
= sin(60-x)
Substitute
[tex]\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved[/tex]
Jerry has four jackets in his closet. Without looking, he reached into his closet, pulled out a jacket, and then put it back in the closet. What is the probability that Jerry will randomly select the same jacket a second time?
Answer:
1%
Step-by-step explanation:
.
Problem PageQuestion A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?
Answer:
the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
Step-by-step explanation:
Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.
Therefore tax in first city = 10% of a = 0.1a
Tax in second city = 8% of b = 0.08b
From the total tax as $825, hence:
0.1a + 0.08b = 825 (1)
The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:
b = a - 1500
a - b = 1500 (2)
To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:
0.18b = 675
b = $3750
a = b + 1500 = 3750 + 1500 = 5250
a = $5250
Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
Pls help with thissss
Is a trapezoid always a square?
Answer:
No
Step-by-step explanation:
A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.
I rlly need help with this
You need to give more info so like show more of the question
HELP ASAP
What is the 10th term in the geometric sequence below?
−4, 12, −36, 108, ...
a)-236196
b)-78732
c)236196
d) 78732
Answer:
78732
Step-by-step explanation:
surface area of a rectangular prism with length 11 meters, width 5 meters, and height 14 meters
Answer:
Step-by-step explanation:11
Question below...15 points.
Answer: i think its c
Step-by-step explanation:
but im not totally sure
Answer:
B. s = 9 inches
Step-by-step explanation:
We are given a square with a perimeter of 36 inches, along with a key that the perimeter is given through the equation P = 4s, where "s" stands for the length of one side. We are then asked to find which number s is.
Perimeter is when you add 4 sides altogether, in our case we have 36 inches as our perimeter. Since 4s is the main factor as to how we got 36 inches, we need to set up one system equation.
P = 4s
36 = 4s
Now we need to find a number that multiplies with 4 to get us 36, simple as that. Let's get s alone to retrieve our answer :
36 = 4s
Divide 4 from both sides :
9 = s
s = 9
Can somebody help me??
Find m<1, m<2, and m<3
Answer:
<1 = 113
<2 = 67
<3 = 113
Step-by-step explanation:
m<2 = 67 (because of vertical angles)
<1 + 67 = 180
<1 = 113
<1 = <3 because of vertical angles
Three paintings are shaped like an 8-foot square a 7-foot by 4-foot rectangle and a triangle with 6-foot base and height of 7 feet. If those paintings are hung together on the outside of the building how much of the building s wall they cover together ?
Answer:
113 square feet
Step-by-step explanation:
the total area covered can be determined by adding the area of the rectangle, triangle and square together
Area of a square = length² = 8² = 64 ft²
Area of a rectangle = length x width = 7 x 4 = 28 ft²
Area of a triangle = 1/2 x base x height = 1/2 x 6 x 7 = 21 ft²
64 + 28 + 21 = 113 ft²
9/2 - 23/9=? plss help
Answer:
35/ 18
(Decimal: 1.944444)
Step-by-step explanation:
Answer
Step-by-step explanation:35/18
Please help asap I need this
Answer:
y= x+4
y=–4–2x
Step-by-step explanation:
using the formula (x–x1)/(x1–x2)= (y–y1)/(y1–y2)
I WILL MARK BRAINLIEST! A parabola opening up or down has vertex (0,3) and passes through (4,7). Write its equation in vertex form.
Ok...so we have this........
y = ax2 + 4 ....... and we need to find "a"
So we have
-1 = a(-10)2 + 4
-5 = a (100)
(-1/20) = a ....... So we have ..........
y = (-1/20)(x- 0)2 + 4 or just (-1/20)x2 + 4
Note that this parabola opens downward...That makes sense since the vertex is above the x axis and the parabola passes through a point below the x axis.
Hope This Helped!
I couldn't copy paste the equation on here, so i attached it in pictures.
In the diagram below, BC = QR = x, AC = PR = y, and triangle PQR is a right
triangle. Use the drop-down menus to complete the proof that if the equation
22 + y2 = z2 is true of the side lengths in triangle ABC, then triangle ABC must be a right
triangle.
P
y у
y
B
R
х
Q
x2 + y2 = 22
Triangle PQR is a right triangle
Click the arrows to cho
from each menu.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to
Applying the Pythagorean theorem, we have ΔPQR ≅ ΔABC. then we would have: ∠ACB = ∠PRQ = 90°
What is the Pythagroean Theorem?The pythagorean theorem states that the square of the longest side (hypotenuse) of a right triangle is always equal to the sum of the squares of the other two sides (legs) of the right triangle.
Since we know that ΔPQR is a right triangle, then:
x² + y² = PQ²
We are also given that x² + y² = z², so by substitution, we have:
z² = PQ², which makes both triangles have corresponding congruent sides. Therefore, ΔPQR ≅ ΔABC.
Using the corresponding parts of the congruent triangles, we can conclude that: ∠ACB = ∠PRQ = 90°.
Learn more about the Pythagorean theorem on:
https://brainly.com/question/343682
#SPJ2
60 children were asked to chose their favourite vegetable from 5 options. Work out the number of children who chose each vegetable .
Answer:
carrots and cauliflower: 6
peas: 12
cabbage, sweetcorn: 18
Step-by-step explanation:
10 percent is 1/10, which is 6/60. Multiplied by two it's 12/60. Multiplied by 3 is 18/60.
D + -4 = 12
how do i find d?
Answer: D=16
Add 4 to both sides
D=16
Answer:
Answer: 16
Step-by-step explanation:
Do 12 -(-4 to get D
12 -(-4 = 16
What is the PE of an object that is 15kg that is 5.0 M above the ground?
Answer:
735 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 15 × 9.8 × 5
We have the final answer as
735 JHope this helps you
how do you solve 27.5% of 88
answer:
im getting different answers so wait ill do it myself
Step-by-step explanation:
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
2/6 or 33.3%
1/6 or 16.65%
3/6 or 50%
0/6 0r 0%
Step-by-step explanation:
A triangle has two 12centimeter sides
. What are the possible lengths of third side?
Answer:
Step-by-step explanation:
if the two sides are 12, the third will have to be shorter so it could be:
( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 )
good luck!can you choose me brainliest? :D
20% of ______ is 120
Answer:600
Step-by-step explanation:
Answer:
20
___ x X = 120
100
x100 x 100
20x = 120
divide by 20 on both sides.
x = 6
Helpppp asapppp I’ll give you a lot of points
Answer:
[tex]x = \frac{5a-2} {7+5a}\\[/tex]
Step-by-step explanation:
Given the expressions
[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]
Substitute 2 into 1
[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]
When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms
Answer:
https://www.sketchywebsite.net/
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
2,827.43
Step-by-step explanation:
Identify the variable expression that is not a polynomial.
O A. 3 - 2
O B. 13
O C. y + 23
O D. x3
Answer:
the correct answer is d. x^3
What is tip would you give to your waiter if your bill was $56.50 and the tip is 20% of the bill
$11.30
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation.
For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.
So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
Second, you need to find out what 20% of your $56.50 meal cost is. This is always done by multiplying 0.20 by $56.50, or
0.20 x $56.50 = $11.30
So, the amount of tip you are going to leave is $11.30.
This makes the total cost of your meal (to write on your charge slip or other payment)
$56.50 + $11.30 = $67.80.
from edgunuity please help asap! image attached above
Given the figure below, find the values of x and z.
Answer:
x = 9
z = 71
Hope this helps!
Can you guys help me find the area of this shape. I've literally tried everything and got it wrong.
Answer:
110 square centimeters.
Step-by-step explanation:
The area for a trapezoid can be figured out with the equation (a + b)h/2.
(9 * 5) + (9 + 4)10/2 {Work inside the parentheses first.}
45 + (13)10/2 {Divide 10 by 2 to get 5.}
45 + 13(5) {Multiply 13 by 5 to get 65.}
45 + 65 {Add 45 & 65 to get 110.}
110 square centimeters.
The area of the figure is 110 square centimeters.
