Step-by-step explanation:
[tex]cos ^{2} x - \sin ^{2} x = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{2}x - \sin ^{2} x)(cos ^{2}x + \sin ^{2} x)}{(cos ^{2}x + \sin ^{2} x)} = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{4}x - \sin ^{4} x)}{1} = \frac{1}{3} [/tex]
as cos²x+sin²x=1
Hence
cos⁴x-sin⁴x=1/3
Doesn’t it tell you the hight of the base I do not understand.
Answer:
Height of base (x) is 9cm exact
Step-by-step explanation:
Amira is planning to plant a new food forest with papaya guava and banana trees she wants to plant a total of 36 trees in the forest and select 18 of them to be the buyer none of them to be guava she says that they're made in 25% of the forest will be banana trees is she correct? Explain.
Answer:
No
Step-by-step explanation:
If 18 are papaya or banana and none are guava then the remaining two trees would split the 36 50-50
Can someone help me with this problem.?
Answer:
B -- Recipe 2 (Gluten-Free)
Step-by-step explanation:
Recipe 1
5 / 16 = 0.3125
Recipe 2
3 / 8 = 0.375
Recipe 2 (Gluten-Free) has a higher ratio so it must have a stronger taste.
Answer:
Your answer would be:
B.) The gluten-free batch has the stronger butterscotch
Regular batch:
5 / 21
5 / 21 = 25 / 110
Gluten-free batch:
3 / 11
3 / 11 = 30 / 110
Solution:
30 / 110 > 25 / 110
In conclusion, the gluten-free batch has the stronger butterscotch.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
NEED HELP ASAP ?!!!!!
Answer:
113cm² total
area of triangle + area for small rectangle + area of 2nd rectangle
a rectangle and a square have equal area.If the length of rectangle is 25 cm and breadth is 16 cm. Find the perimeter of the square.
answer:80cm
julie planned to walk 35 miles a week. On Monday and Wednesday she walked 5 miles each. tuesday and thursday she walked 3 miles each. friday she walked 2 miles, saturday she walked 7 miles. and sunday she walked 4 miles. she failed to reach her goal. what was julie's approximate percent error?
Answer:
11%.
Step-by-step explanation:
Total miles walked = 5+5+3+3 +2+7+4 = 29.
%age error = [(35-29)/35] * 100
= 4/35 * 100
= 11%.
=
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What us the total price of 4 1/2 pounds of apples this week at the grocery store?
please helpppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. correct
2. incorrect
3. correct
4. correct
5. incorrect
Find the surface area of this cube.
8 in
8 in
8 in
sq in
Answer:
Step-by-step explanation:
A cube has 6 faces in square shape.
[tex]\boxed{Surface \ area \ of \ cube = 6a^{2}}}[/tex]
Here a is the measurement of edge. a = 8 in
= 6*8*8
= 384 square in
find the area figer
a 14
b 50
c 60
d 64
Answer:
64 cm²
Right corner rectangle:
Length * Width2 * 714 cm²Bottom rectangle:
Length * Width10 * 550 cm²Together:
50 cm² + 14 cm²64 cm²Answer:
d. 64 cm²
Step-by-step explanation:
Separate the shape into two rectangles (see attached image).
Formula
Area of a rectangle = width × length
Rectangle 1
Area = 2 × 12
= 24 cm²
Rectangle 2
Area = 5 × (10 - 2)
= 5 × 8
= 40 cm²
Total Area
Total area = Area of Rectangle 1 + Area of Rectangle 2
= 24 + 40
= 64 cm²
What is the numerical expression for 1/4
Answer:
1/4=0.25
Step-by-step explanation:
1/4=25/100
write that as a decimal (numerical expression) its 0.25
How much more does the student need to save to buy the laptop
Answer:
A
Step-by-step explanation:
Starting amount = 307.50
1 month saving = 100
5 month saving = 5*100 500.00
Total so far 807.50
Let the total amount be x
75% *x = 807.50
75/100 x = 807,59 Multiply both sides by 100
75 x = 807.50 * 100
75 x = 80750 Divide by 75.
x = 80750 / 75
x = 1076.67
That is not the answer. That's the total cost of the laptop.
The amount needed is
Amount needed = Total Cost - what has been saved
Amount needed = ????
Total Cost = 1076.67
What has been saved = 807.50
Answer
Amount needed = 1076.67 - 807.50 = 269.17
X^(2) + 6x - 9 = 0
solve by completing the square
write in (x+h)^2 = k form
Step-by-step explanation:
[tex]{x}^{2} + 6x - 9 = 0[/tex]
ADDING 18 ON BOTH SIDES[tex] { x }^{2} + 6x - 9 + 18 = 0 + 18[/tex]
[tex] {x}^{2} + 6x + 9 = 18[/tex]
[tex] {(x)}^{2} + 2(x)(3) + {(3)}^{2} = 18[/tex]
[tex] {(x + 3)}^{2} = 18[/tex]
Robin Hartman earns 681 per week plus 2% of sales over 6,500. Robins sales are 13,300. How much does robin earn?
Answer:
Robin earns 635 + 0.02*(12350-6500) dollars.
Step-by-step explanation:
Just know please mark branliest
9x^8 6x^4(y 2) (y 2)^2 factor by subtraction
Answer:
The groups have no common factor and can not be added up to form a multiplication. Final result : 9x8 + 6x4y + 12x4 + y2 ...
Step-by-step explanation:
so did u understand
A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m above sea level how far is the boat from the foot of the cliff?
Answer:
From the photo above i interpreted the question and drew a triangle to make it easier to solve
Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)
Tan θ =Opp/Adj
Tan 22°=15/a
Cross Multiply
aTanθ=15°
Divide both sides by Tan 22
aTan22/Tan22 = 15/Tan 22
a = 15/Tan 22°
a = 37.13 m
Therefore the distance between the foot of the cliff to the boat is 37.13 metres
The first bricklayer can build a wall in 15 days, the second bricklayer can build the same wall in 10 days. How long will it take them to build the wall together?
Please help fast ASAP!!
Will mark brainiest!!!
Answer:
6 days
Step-by-step explanation:
If the first bricklayer can build a wall in 15 days, he can build 1/15 of a wall in one day.
If the second bricklayer can build a wall in 10 days, he can build 1/10 of a wall in one day.
Therefore, if they work together, in one day they will complete
1/15 + 1/10 = 1/6
of the wall.
Since they can complete 1/6 of the wall in one day, they can complete 6/6 or one wall in 6 days.
4
Select the correct answer.
Which expression is equivalent to the given expression?
3x2 + 5x – 7(x2 + 4)
-
O A.
x2 + 28
4
OB. x2 + 4
OC. -4x2 + 5x – 28
ОС
C
Answer:
C. -4x² + 5x - 28
Step-by-step explanation:
1. Expand -7(x² + 4):
-7x² - 28
3x² + 5x -7x² - 28
2. Group like terms:
-4x² + 5x -28
hope this helps :)
I NEED HELP PLSSSSS I HVA ENO TIME LEFT
Answer:
x=6
Step-by-step explanation:
FG is similar to MN just like GH is similar to NP. GH is 20, which is double NP,10. Then, MN should be half of FG, 12, so 6 is your answer.
Please answer this for me , well i need to make sure my answer is right.
Step-by-step explanation:
just follow PEMDAS trust me this will be a lifesaver
The radius of a circle is 2.5 cm. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
circumference of circle: 2πr ("r" is the radius)
==========
2πr 2π(2.5)5π15.7 cmAnswer:
15.7 cm²
Step-by-step explanation:
Given:
[tex]\text{Radius of circle: 2.5 cm}[/tex]
Formula:
[tex]\text{Circumference:} \ 2\pi r[/tex]
Substitute the radius in the circumference formula:
[tex]\implies \text{Circumference:} \ 2\pi r[/tex]
[tex]\implies \text{Circumference:} \ 2\pi (2.5)[/tex]
Take π as 3.14 (Approx. value of π):
[tex]\implies \text{Circumference:} \ 2(3.14)(2.5)[/tex]
Simplify the circumference:
[tex]\implies \text{Circumference:} \ (3.14)(5)[/tex]
[tex]\implies \text{Circumference:} \ 15.7 \ \text{cm}^{2}[/tex]
I need help with this please.
Can someone help me with this please
y – 6 ≥ 12
2. 2x + 2y - 2x + 1
A. 2y + 1
B. 4x + 3y
Answer:
2y+1 is the correct answer.
The pentagons ABCDE and PQRST are similar.
Find the length x of ST.
D
S
2
4.
A
4.8
P
E
4.8
T
13
3.6
C
5
B
R
6
O
The value of x, which is the length of ST in the given similar polygons is: 2.4.
What are Similar Shapes?If two shapes are similar to each other, the ratio of their corresponding side lengths would be equal.
Thus, since both pentagons are similar, we would have:
CB/RQ = DE/ST
Plug in the values
5/6 = 2/x
Cross multiply
x = (6 × 2)/5
x = 12/5
x = 2.4
Therefore, the value of x, which is the length of ST in the given similar polygons is: 2.4.
Learn more about similar shapes on:
https://brainly.com/question/4381215
What is the equation of the line in slope-intercept form? Enter your answer in the boxes
Without doing any calculations, compare Expression A to Expression B. A (34 + 25) ÷ 14 1 4 B 34 + 25 Which statement is true? A. LIVE Expression A is 2 times as great as expression B. B. LIVE Expression B is 4 times as great as expression A. C. LIVE Expression A is 4 times as great as expression B. D. LIVE The two expressions are equal to each other.
Expression A is 4 times as great as expression B.
Sure hope this helps you and pls mark me brainiest
833/90 as a mixed number
Answer:
833/90 as a mixed number is 9 and 23/90.
Step-by-step explanation:
How many times does 90 go in to 833? 9 times.
Then take the remaining so you can’t really simplify the fraction so it stays 23/90.
So your final answer is 9 and 23/90.
Brainliest pls!!!
What is mZRST in degrees? O 78° O 84° O 120° O 156°
Answer:
rst = ust + usr
6x+12 = 78 + 3x - 12
3x = 54
3x+66 = 54 + 66
3x +66= 120
thus rst = 120
The measure of angle ∠RST in degree is 156°
What is measure of an angle?The measure of angle is the amount of rotation performed by initial side to get the terminal side. A complete angle is divided by 360 equal parts we get 360 number of small angles. Each of these small angle has measure 1 degree.
Given that, ∠RSU=78° , ∠UST=(3x - 11)° and ∠RST=(6x + 12)°
Now, ∠RSU+UST=∠RST
Putting the values of ∠RST and ∠UST we get,
78 + (3x - 12) = 6x + 12
78 + 3x - 12 - 6x - 12 = 0
54 - 3x = 0
3x = 54
So, x = 54/3=18
Therefore, (6x + 12)°=(6×18 + 12)°
=(144 + 12)°
=156°
Hence the measure of angle ∠RST is 156°
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What is the factored form of x2 – x – 2? (x – 2)(x 1) (x 2)(x 1) (x – 2)(x – 1) (x 2)(x – 1)
A quadratic equation is an equation whose leading coefficient is of the second degree. The factored form of the quadratic equation x²-x-2 is (x+1)(x-2).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
The factored form of the quadratic equation can be done in the following manner,
[tex]x^2-x-2\\\\= x^2-2x+x-2\\\\=x(x-2)+(x-2)\\\\=(x+1)(x-2)[/tex]
Thus, the factored form of the quadratic equation x²-x-2 is (x+1)(x-2).
Learn more about Quadratic Equations:
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