Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
A bag contains 12 identical marbles consisting of an equal number of red, green and yel low marbles. A marble is picked at random from the bag. a) Are all the outcomes equally likely? Give a reason for your answer?
Answer:
yes the outcomes are equally likely
Step-by-step explanation:
12 = red yellow green
12 = 3
12/3
4
red balls are 4
yellow balls are 4
green balls are 4
so the outcome is equal for all the colour of the balls
Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm
Answer:
936 cm²
Step-by-step explanation:
The surface area is the sum of all the faces.
The base is a rectangle with
area = 24 × 7 = 168 cm²
The back is a rectangle with
area = 18 × 7 = 126 cm²
The sloping face is a rectangle with
area = 30 × 7 = 210 cm²
The 2 triangular faces are congruent with
area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then
area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²
Then
surface area = 168 + 126 + 210 + 432 = 936 cm²
PLEASE HELP FIND THE MEASURE OF X
Answer:
28.3
Step-by-step explanation:
if a side is 90 degrees, this makes the two other angles 45 degrees.
if the base side is 40, this makes the two other sides 28.284.
rounding 28.284 to the nearest tenth, we get 28.3
9 4/5÷3 1/2 as a fraction
Answer:
As an improper fraction, the answer is 14/5, and as a mixed fraction, the answer is 2 4/5.
Step-by-step explanation:
Brainliest Please!domain. range
y =×2- 2 ×- 3
Answer:
x=
2
−y+x
2
−3
Step-by-step explanation:
Pasos para resolver una ecuación lineal
y=x2−2x−3
Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.
x
2
−2x−3=y
Resta x
2
en los dos lados.
−2x−3=y−x
2
Agrega 3 a ambos lados.
−2x=y−x
2
+3
Divide los dos lados por −2.
−2
−2x
=
−2
y−x
2
+3
Al dividir por −2, se deshace la multiplicación por −2.
x=
−2
y−x
2
+3
Divide y−x
2
+3 por −2.
x=
2
−y+x
2
−3
Write the equation that describes each line in slope intercept form
Hello there! :)
Let's use the slope formula:
m=[tex]\frac{y2-y1}{x2-x1} \\\frac{0-3}{3-0} \\\frac{-3}{3} \\=-1[/tex]
So the slope (m) is -1.
Now, let's find the y-intercept. It's where the graph touches the y-axis.
The y-intercept is 3.
So our equation looks like so:
y=-x+3
Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature :)[/tex]
Jack spent $22 at Petco. He bought a Betta fish for f dollars and other supplies for $14.57. What is the cost of the Betta fish.
Answer:
7.43
Step-by-step explanation:
22 - 14.57 = 7.43
A group of seven students brought enough peppermint candy to share equally among themselves during a computer lab meeting. which could be the number of pieces of peppermint candy they bought
A: 64
B: 56
C: 38
D: 27
Answer:
56
Step-by-step explanation:
The two interior angles that are not adjacent to an exterior angle are remote interior angles. TrueFalse
Answer:
true
Step-by-step explanation:
true
Tracy has 3/4 pounds of rice to give to 6 of her friends. If each
friends gets an equal amount, how much rice will each friend
receive?
Answer:
1/8 Pounds
Step-by-step explanation:
Since Tracy gives 3/4 pounds of rice to 6 of her friends, you will need to divide it among 6 people.
3/4 ÷ 6
= 3/4 * 1/6
= 1/4 * 1/2 (cross multiplication)
= 1/8.
Therefore, each of her 6 friends received 1/8 Pounds of rice
I hope this helped!
Please help I think this is the wrong answer
Answer:
It is! The correct answer is -98/5 or -19.6
Step-by-step explanation:
Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?
Answer:
4in
Step-by-step explanation:
The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.
Perimeter of rectangle ABCD = 24 inch
Perimeter of rectangle EFGH = 48 inch
The ratio of perimeters of rectangle ABCD to EFGH will be :
= 24 : 48
= 1 : 2
It is also given that the width of rectangle ABCD is 2 inch.
Perimeter of triangle ABCD is :
P = 2 ( L + B )
24 = 2 ( L + 2)
L + 2 = 12
L = 10 inch
The area of rectangle ABCD will be :
= 10 × 2
= 20 inch²
As the perimeters of ABCD and EFGH are in ratio 1 : 2.
The area of rectangle EFGH will be :
= 20 × 2
= 40 inch ²
Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².
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· Jessica has 5x - 3 magazines while Kenya has 4x + 2 magazines. How many
magazines do they have altogether?
Answer:
9x-1
Step-by-step explanation:
solution - jessica has 5x-3 magazines
kenya has 4x+1 magazines
so, magazines do they have together = 5x-3+4x+2
= 9x-1
hence, magazines do they have together = 9x-1
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!! i will give brainliest.
Answer:
y = 6; x = 12
Step-by-step explanation:
If the triangles are congruent , then their sides are corresponding.
AB ≅DE DE≅ AC
7 = 2y - 5 3x - 13 = 11 + x
7 + 5 = 2y 3x - x -13 = 11
12 = 2y 2x - 13 = 11
6 = y 2x = 11 + 13
2x = 24
x = 12
AB=DE
[tex]\\ \sf\longmapsto 2y-5=7[/tex]
[tex]\\ \sf\longmapsto 2y=12[/tex]
[tex]\\ \sf\longmapsto y=6[/tex]
DF=AC.[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]
[tex]\\ \sf\longmapsto 2x=24[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
AC=DF=23Diagram attached
Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each month, after how many months will Marc and Corinna have the same number of books?
Define the variable:_________________________________________
Write the equation: _________________________________________
Solve the equation in the space below. Show your work
A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.
A.y = - 2x - 3
B. y= - 2x + 3
C. y = 2x - 3
D. y = 2x +3
Answer:
y = -2x - 3
Step-by-step explanation:
Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2
y-intercept= 5 - (-2)(-4) = 5 - 8 = -3
Please help with this question thank you (proper answers only)
Answer:
...... ANSWER IS IN THE PICTURE
In order to conduct an experiment, 4 subjects are randomly selected from a group of 41 students. The number of possible different groups is ______________________.
Answer:
10.25
Step-by-step explanation:
You'd need get Forty one divided by 4 and your answer should be 10.25 , 41 ÷ 4 = 10.25
Please help I will give brainless if correct: What are the coordinates of Q
Answer:
4,3
Step-by-step explanation:
The coordinates of Q are (4,3).
Answer:
(4,3)
Step-by-step explanation:
x-axis is 4 and y-axis is 3
what is the right equation of the graph
Answer:
It's D)
C is incorrect because the constant is + 1, not - 8
A is incorrect because the f doesn't go up by 2 for every x value
B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.
D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1
Find the gradient of the line segment between the points (-8,6) and (3,7). Give your answer in its simplest form.
Answer:
[tex] \frac{1}{11} [/tex]
Step-by-step explanation:
[tex]\boxed{gradient = \frac{ y _1 - y_2}{x_1 - x_2} }[/tex]
Gradient of line segment
[tex] = \frac{7 - 6}{3 - ( - 8)} [/tex]
[tex] = \frac{1}{3 + 8} [/tex]
[tex] = \frac{1}{11} [/tex]
Kenny has 576 baseball cards. He would like
to put them in a blnder. Each binder page
holds 12 cards. 'How many pages does he
need for his baseball card binder?
Answer:
Divide 576 by 12 and you'll get your answer.
Answer:
Kenny will need 48 pages
Step-by-step explanation:
576 into 12 = 48 therefore Kenny will need 48 pages for his baseball card binder.
Amount of baseball cards into How among pages a binder can hold equal Amount if pages needed.
hi i need help with this
Answer:
difficult
Step-by-step explanation:
what is the coordinate of the point A?
A) - 0.04
B) - 0.03
C) - 0.02
D) 0
HELPPP IM BEGGING U LOOK AT THE PIC BABES
Answer:
2nd option
Step-by-step explanation:
in the figure below red points are for ΔC"D"E"
we have to go in reverse order
to convert ΔC"D"E" to ΔC'D'E'
we have to scale the given triangle to a scale factor of 2
by multiplying vertices with 2
which gives blue points in the figure
next for 90° counter clockwise of ΔC'D'E' we get ΔCDE
for that we have to interchange x and y in the vertices
(2,2), (4,6), (-2,6) initial
(-2,2), (-6,4), (-6,-2) after
2nd option
Quan can make 30 bracelets in 2.25 hours. How much time will it take him to make 80 bracelets .
Answer:
6
Step-by-step explanation:
there are 86,400 frames of animation in 1 hour of anime. how many frames are there per second? there are 3600 seconds in an hour
Answer:
Step-by-step explanation:
86400/3600=24 fps
Answer:
There are 24 frames per second.
Step-by-step explanation:
Hi there!
We're given:
1 hour ⇒ 86,400 frames
1 hour ⇒ 3600 seconds
To find the number of frames per second, divide 86,400 by 3600 seconds:
86,400 ÷ 3600 = 24
I hope this helps!
You are buying mouthwash at your local store. The price of the mouthwash is $4.39. It is currently on sale for 20% off. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. What is your subtotal?
Answer:5.68 dollars amirikan
Step-by-step explanation:
Given that price of the mouthwash is $4.39. It is currently on sale for 20% discount. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. The subtotal you need to pay is $1.262.
What is discount?The term discount refers to the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.
Discount = Marked price - Selling price
The mouthwash is at sale for 20% off.
Cost price = $4.39
Discount = 20% of $4.39 = $0.878
Total discount = 20% off + store coupon + manufacturer's coupon = $0.878 + $1.000 + $1.250 = $3.128
Selling price = Marked price - Discount = $4.39 - $3.128 = $1.262
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What is the Slope of the equation y = x - 2
Question 4 options:
1
-2
2
0
Answer:
1
Step-by-step explanation:
Answer:
The slope for the equations y = x - 2 is answer A - 1
Step-by-step explanation:
Graph attached Below
Hope I helped,
Brainliest is always appreciated.
HELP!!!! need help with this due tonight pls someone
Answer:
the photos isn't clear!