Answer:
[tex]cotθ = \frac{7 \sqrt{51} }{51} [/tex]
[tex]sinθ = \frac{ \sqrt{51} }{10} [/tex]
[tex]cscθ = \frac{10 \sqrt{51} }{51} [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.
PLEASE HELP
Answer/Step-by-step explanation:
H = V/lw
H = 984/20.5*6
H = 984/128
H = 8
ANSWER:
H = 8
Justin buys ice cream and apples at the store.
He pays a total of $25.24.
He pays a total of $5.14 for the ice cream.
He buys 5 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of apples costs.
Answer:
$4.02
Step-by-step explanation:
Subtract $5.14 from $25.24.
$25.24-$5.14=20.10
Divide 5 and $20.10
20.10/5= 4.02
so each bag of apples costs $4.02
Because the dividend is the same for all three expressions the larger the Divisor the__the quotient
Worth 100 points false info or just to take the points you will be reported
What is the answer please help no links please help
What is the volume of the figure?
Answer:
12.57
Step-by-step explanation:
same as last time you know
The length of a rectangle is 4 inches longer than its width. The area of the rectangle is 32 inches square. What is the width ? The width is ___ inches
Answer:
I hope this helps dear
Step-by-step explanation:
P = 2(L + W) = 32 in
L = W + 4
2[(W + 4) + W] = 32 in ⇒
W = 6 in
L = W + 4 = (6 + 4) in = 10 in
A = LW = (10)(6) in2 = 60 in2
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Just click an x on the graph for each number in the chart.
1/4 would have 4 x's
2/4 would have 2 x's
3/4 would have 1 x
1 would have 2 x's
What is the volume of this rectangular prism?
1/2cm 4 cm 3/2cm
Answer:
21cm3
Step-by-step explanation:
PLEASE HELP ASAP!!! URGENT
Verify the identity. Sinx/1-cosx = cscx+cotx
Please use the answers shown in the image !! Thank you !!
Answer:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]
Step-by-step explanation:
Now we proceed to show all steps needed to demonstrate the trigonometric identity:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex] [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex] Fundamental trigonometric identity.
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex] Factorization.
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.
11. Find mZB.
С
B
(4x + 11)
(6x – 15°
D
A
Answer: 117
Step-by-step explanation:
first i found x which is 13
4x+11=6x-15
+15 +15
4x+26=6x
-4x -4x
2x=26
26÷2 2÷2
x=13
then i just put 13 nto the equation and got
m<B=117
if you know how to please mark brainlyest!
Write 5-7 well-written sentences. REREAD FOR ERRORS AND FIX THEM!! If you could spend the perfect day, what would you do? Where would you be? Who would be with you? What do you see? Eat? Play? Use your senses to describe it? What do you see? Hear? Smell? Taste? Touch?
Answer:
If i could spend the perfect day I would go to the park and take a jog. I would also go to Mc donalds and get a vanilla flavored ice cream! I love the taste of vanilla, Next, i will watch my favorite movie on my phone. Then, i will go to the zoo with my friends and see my favorite animals! Lastly,i will go home and take a nap.Step-by-step explanation:
okay
In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?
Answer:
Brown eyes
Step-by-step explanation:
10/28 Fraction form
0.3571 Decimal form
35.71 % Percentage form
10 is the greatest number out of all the other colors
someone please help me! show work if you can please!
Answer:
a. [tex]12\sqrt{3}[/tex]
b. [tex]144\sqrt{3}[/tex]
c. [tex]24+24\sqrt{3}[/tex]
Step-by-step explanation:
This rectangle is made up of two 30-60-90 right triangles, which have special properties that are worth memorizing for the future. Please see the attached picture.
Using this information, we can deduce that the top and bottom sides are equal to [tex]12\sqrt{3}[/tex].
From the properties of a rectangle we know that the right side is 12.
The diagonal is equal to [tex]12*2=24[/tex].
We can find the area by doing [tex]{12*12\sqrt{3}=144\sqrt{3}[/tex],
And the perimeter is equal to [tex]12+12+12\sqrt{3}+12\sqrt{3} =24+24\sqrt{3}[/tex]
5. A football stadium has 81.296
seats. Then the stadium's owner
adds 10.795 seats. What is the
new total number of seats?
Answer:
92.091
Step-by-step explanation:
81+10=91
.296
+
.795
_____
1.091
So: 91+1.095=92.091
Write an expression for "m decreased by 2.”
Answer:
m-2
Step-by-step explanation:
m is being subrtacted by 2
Factor the expression -8x 2+ 22x - 15
Find the product of (x + 3)(x − 3).
x2 − 6x + 9
x2 + 6x + 9
x2 + 9
x2 − 9
Step-by-step explanation:
[tex](x + 3)(x - 3) \\ = {x}^{2} - 3x + 3x - 9 \\ = {x}^{2} - 9[/tex]
#CMIIWProve that triangle Bad is congruent to triangle ABC
Answer:
Step-by-step explanation:
From the diagram,
i. To prove that; ΔBAD ≅ ΔABC
It can be inferred that;
<BAD ≅ <ABC (right angle of a triangle)
AC ≅ BD (diagonal of a rectangle)
AD ≅ BC (property of the sides of a rectangle)
AB ≅ CD (property of the sides of a rectangle)
Therefore,
ΔBAD ≅ ΔABC (SAS, Side-Angle-Side, congruent relations)
ii. From the given rectangle,
AC = BD = diagonal
Since;
AD ≅ BC (property of the sides of a rectangle)
AB ≅ CD (property of the sides of a rectangle)
Then,
AC ≅ BD (diagonal property of a rectangle)
The equation for the perimeter around Claire's garden is a:
Group of answer choices
Linear Function
Exponential Function
Quadratic Function
Absolute Value Function
Answer:
Linear Function
Step-by-step explanation:
I just took the test and got it right.
Mimi is tacking 6 posters on her wall. Every poster needs a tack in each corner. What is THE LEAST number of tacks Mimi needs to hang the posters so that each can be seen completely?
Answer:
36 if the posters have 3 corners
Step-by-step explanation:
you would just multiply the corners by 6
You and each of your 20 friends are each going to go out and randomly sample 50 people in Chicago and ask them how many Batman movies they have seen and will compute the average number for your sample of size 50. (a) Do you think that all 21 of you will have the exact same average number
Answer:
No
Step-by-step explanation:
No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.
I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!
The following quadrilateral is a parallelogram. Solve for x, y, and z.
Answer:
x= 29°
y= 73°
z= 102°
Step-by-step explanation:
x is on the opposite side of the 29° which means it is equal to 29°
In order to find y we can add 29°+78° and subtract it from 180° since all triangles add up to 180°.
This makes y = 73°
In order to find z, we can subtract 78 from 180 since all straight lines are 180 degrees.
This makes z = 102°
2.8332 rounded to the nearest thousand
The segments shown below could form a triangle. True B. False
the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer leg
Answer:
Short leg = 24inches
Long leg = 32inches
Hypotenuse = 40inches
Step-by-step explanation:
Given:
shorter leg is 8inches shorter than the longer leghypotenuse is 8inches longer than the longer leglonger leg = x inchesPythagorean Theorem:
a²+b²=c² → (x-8)²+ x² = (x+8)²
Solving for both sides:
x² - 16x+ 64 + x² = x²+ 16x + 64
More Painful Solving:
x² - 32x = 0
x(x-32) = 0
x=0 or 32
Can't use the 0 so we trash it!
x=32
add 8 to get the hypotenuse and subtract 8 to get the short leg
Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST
Answer:
A: 30
B: y=30x+14
Step-by-step explanation:
A
The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).
Let's use the points (0,14) and (2.2,80):
slope = (y2-y1)/(x2-x1)
= (80-14)/(2.2-0)
= 66/2.2
= 30
B
The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:
y=mx+c
14=(30)(0)+c
14=0+c
c=14
Therefore our equation is y=30x+14
pleas help. 10 pointssss
Answer:
6
Step-by-step explanation:
Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m
What number is equal to its opposite? Please enter your answer as a number.
Answer:
there is no opposite number but no means opposite
Step-by-step explanation: