Answer:
[tex]\frac{12}{25}[/tex] ↔ sinD × cosD
[tex]\frac{3}{5}[/tex] ↔ sinC
[tex]\frac{16}{15}[/tex] ↔ cosC × tanD
[tex]\frac{4}{5}[/tex] ↔ sinD
Step-by-step explanation:
In the given triangle CBD
∵ ∠B is a right angle
∴ CD is the hypotenuse
→ We can use the trigonometry ratios
∵ sinC = opposite side of ∠C ÷ hypotenuse
∴ sinC = [tex]\frac{BD}{DC}[/tex]
∵ BD = 3 and CD = 5
∴ sinC = [tex]\frac{3}{5}[/tex]
∵ cosC = adjacent side of ∠C ÷ hypotenuse
∴ cosC = [tex]\frac{BC}{DC}[/tex]
∵ BC = 4 and CD = 5
∴ cosC = [tex]\frac{4}{5}[/tex]
∵ tanC = opposite side of ∠C ÷ adjacent side of ∠C
∴ tanC = [tex]\frac{BD}{BC}[/tex]
∵ BD = 3 and BC = 4
∴ tanC = [tex]\frac{3}{4}[/tex]
∵ sinD = opposite side of ∠D ÷ hypotenuse
∴ sinD = [tex]\frac{BC}{DC}[/tex]
∵ BC = 4 and CD = 5
∴ sinD = [tex]\frac{4}{5}[/tex]
∵ cosD = adjacent side of ∠D ÷ hypotenuse
∴ cosD = [tex]\frac{BD}{DC}[/tex]
∵ BD = 3 and CD = 5
∴ cosD = [tex]\frac{3}{5}[/tex]
∵ tanD = opposite side of ∠D ÷ adjacent side of ∠D
∴ tanD = [tex]\frac{BC}{BD}[/tex]
∵ BD = 3 and BC = 4
∴ tanD = [tex]\frac{4}{3}[/tex]
Let us find the answer to each tile
→ sinD = [tex]\frac{4}{5}[/tex] ⇒ 4th answer
→ sinC = [tex]\frac{3}{5}[/tex] ⇒ 2nd answer
→ sinD × cosD = ( [tex]\frac{4}{5}[/tex]) × ([tex]\frac{3}{5}[/tex]) = [tex]\frac{12}{25}[/tex] ⇒ 1st answer
→ tanC × tanD = [tex]\frac{3}{4}[/tex] × [tex]\frac{4}{3}[/tex] = 1 ⇒ Not used
→ cosC × tanD = [tex]\frac{4}{5}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{16}{15}[/tex] ⇒ 3rd answer
Answer: ↔ sinD × cosD
↔ sinC
↔ cosC × tanD
↔ sinD
Step-by-step explanation:
In the given triangle CBD
∵ ∠B is a right angle
∴ CD is the hypotenuse
→ We can use the trigonometry ratios
∵ sinC = opposite side of ∠C ÷ hypotenuse
∴ sinC =
∵ BD = 3 and CD = 5
∴ sinC =
∵ cosC = adjacent side of ∠C ÷ hypotenuse
∴ cosC =
∵ BC = 4 and CD = 5
∴ cosC =
∵ tanC = opposite side of ∠C ÷ adjacent side of ∠C
∴ tanC =
∵ BD = 3 and BC = 4
∴ tanC =
∵ sinD = opposite side of ∠D ÷ hypotenuse
∴ sinD =
∵ BC = 4 and CD = 5
∴ sinD =
∵ cosD = adjacent side of ∠D ÷ hypotenuse
∴ cosD =
∵ BD = 3 and CD = 5
∴ cosD =
∵ tanD = opposite side of ∠D ÷ adjacent side of ∠D
∴ tanD =
∵ BD = 3 and BC = 4
∴ tanD =
Let us find the answer to each tile
→ sinD = ⇒ 4th answer
→ sinC = ⇒ 2nd answer
→ sinD × cosD = ( ) × () = ⇒ 1st answer
→ tanC × tanD = × = 1 ⇒ Not used
→ cosC × tanD = × = ⇒ 3rd answer
Step-by-step explanation:
I will make you brainliest if correct. please explain how you got it if you can
Can anybody help(>v<)
Answer:
-7/10, -0.2, 1/2, 0.7
Step-by-step explanation:
Plzz have brainiest
Can anyone help me with this (9+3n)+(7+4a)
Answer:
Step-by-step explanation:
(
9
+
3
)
+
(
7
+
4
)
(9+3n)+(7+4a)
(9+3n)+(7+4a)
Simplify
1
Rearrange terms
(
9
+
3
)
+
(
7
+
4
)
({\color{#c92786}{9+3n}})+(7+4a)
(9+3n)+(7+4a)
(
3
+
9
)
+
(
7
+
4
)
({\color{#c92786}{3n+9}})+(7+4a)
(3n+9)+(7+4a)
2
Rearrange terms
3
Eliminate redundant parentheses
4
Add the numbers
5
Rearrange terms
Solution
4
+
3
+
1
6
HURRY PLS What is the ratio of cookies with a bite out of them to cookies without a bite taken? *
Answer
1/4
Step-by-step explanation:
find the decimal number exactly halfway between 1.01 and 1.02
Answer:
1.015
Step-by-step explanation:
Just add the number after the hundredth digit, since 5 is halfway we would put the number 5 after the 1.01.
Answer:
0.01
Step-by-step explanation:
because if u subtract 1.01 from 1.02 it will give you the answer
576 is 450% of what number ?
At a fruit stand there are 12 strawberries, 30 blueberries, 16 apples , and 14 bananas. Which ratio expresses strawberries to all fruit.
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
4:3
Step-by-step explanation:
16:12=8:6=4:3
Answer:
4:3
Step-by-step explanation:
16 and 12 can both be divided by 4
16/4 = 4 12/4 = 3
so your simplified ratio is 4:3
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 6750 watt-hours?
Answer:
I LOST ALL MY POINTS NOOOOOO
Which of the following equations shows the commutative property of multiplication?
A.8x0=0
B.3 x 11 = 11 x 3
C.7 + 7 + 7 = 3 x 7
D.(4 x 2) x1 = 4 x (2 x 1)
Answer: D.(4 x 2) x1 = 4 x (2 x 1)
1) Choose the correct answer.
Which of the following statements is NOT a reasonable statement about geometry?
A.You need to take geometry so you will learn how to drive farther and faster.
B.You need to take geometry so you will learn concepts about shapes and relationships that you
can apply to many jobs or careers in the future.
C.You need to take geometry so you will earn the credit toward graduation.
D.You need to take geometry so you will learn to apply logical reasoning skills that you can use
in almost every aspect of life.
Answer:
A
Step-by-step explanation:
Geometry has nothing to do with driving.
two thousand brown trout are introduced into a small lake. the lake has a volume of 20,000 cubic meters. use a table to find the probability that three brown trout are found in any given cubic meter of the lake.
a. find the average number of brown trout per cubic meter.
b.identify µ and x
c. use table 3 in appendix B to find the poison probability
d. interpret the results
e. determine whether the event is unusual. explain
Rewrite the expression by factoring out (w-5)
Answer:
(w - 5)(2w² + 7)
Step-by-step explanation:
Given
2w²(w - 5) + 7(w - 5) ← factor out (w - 5) from each term
= (w - 5)(2w² + 7)
Which lines are perpendicular?
A) A and B
B) A and C
C) B and C
D) A and D
Answer:
B) A and C
Step-by-step explanation:
A and C are negative reciprocals of each other.
equivalent answers for 64 to the power of 2/3
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
Simplify (if you want to)
[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]
64 to the power of 2/3 is 16.
Tamara is creating a model of a rectangle. She has ab26 inches of yellow ribbon to use for the border of the rectangle. She wants the length,/, to be 3 inches greater than the width,w. Which system of equations could tamara use to find the dimnesions of a rectangle that uses all of the ribbon
Answer:
L=8inW=5inStep-by-step explanation:
Step one:
given data
we are told that the border/perimeter of the yellow ribbon is 26in
let the width be x
W=x
and the lenght
L=x+3
Step two:
Required
The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.
we know that the perimeter of a rectangle is given as
P=2L+2W
26=2(x+3)+2x---------This is the expression required
26=2x+6+2x
26=4x+6
26-6=4x
20=4x
divide both sides by 4
x=20/4
x=5in
The width is 5in
The length is
L=x+3
L=5+3
L=8in
helphelp need lots of help. do atleast one idc need hELP
Answer:
31. $70 / 34. 9.5, 9, or 10.
Step-by-step explanation:
31. ok here it looks like they split the cost between each other. if im correct, that means they split the thing in 5. which means Tai is paying for [tex]\frac{2}{5}[/tex] the of the camera. [tex]\frac{1}{5}[/tex] of the total cost of the camera is 35, so 35 x 2 = 70. Tai is paying $70.00
im not good with liters and things like that with ratio, sorry about that
34. ok so the long side of the rectangle is 18 cm, and this has a ratio of 5 : 3. so for every 5 cm the small side is 3 cm. so if something was 18 cm, it would make the shorter side 9.5 or if it only requires whole numbers then either 9 or 10.
i hope this helped, i did my best :)
7. How many servings could you make if you had 3/4 cup of diced onion?
A. 4 servings
B. 15 servings
C. 9 servings
D. 12 servings
Answer:
D. 12 servings
Step-by-step explanation:
Normally, when working with fractions, I would like to make the denominators of both fractions the same.
[tex]\frac{1}{2}[/tex] cup diced onion --- 8 servings
[tex]\frac{2}{4}[/tex] cup diced onion --- 8 servings
[tex]\frac{3}{4}[/tex] cup diced onion --- [tex]\frac{3}{2}[/tex] × 8 servings = 12 servings
Can someone please help me with solving this maths question?
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
round 0.927 to the nearest hundreth
A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.
Step-by-step explanation:
radius
(2,2)-(1,-3)=(1,5)
radius= 5.09 units
PLEASE HELP! BRAINLIEST to correct answer!!!
Answer:
Vertex: (4,9)
X int: (1,0),(7,0) = x=-1, x=-7
y iny: (0,-7)
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is
either 4 or 20 or 34 units because translations
decrease or increase or preserve length.
Is the resulting lin segment 4 or 20 or 34? And do the translations decrease or increase or preserve? That is my question please help me.
Answer:
The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.
Step-by-step explanation:
The given length of the line segment is 20 units.
The line segment is translated up 6 units and left 8 units.
Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.
So, the length of the line segment is preserved on translation.
After translation, the length of the line remains unchanged.
So, the length of the resulting line segment is 20 units.
Karate Dojo charges $25 fee and $50 each month for Karate classes.
Write a linear equation that represents all of the charges from Karate Dojo.
Algebra Question that I need help in since I’m taking a test
Answer:
D, the Addition Property of Equality
Step-by-step explanation:
This is the Addition Property of Equality. The Addition Property of Equality is, "If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal." In this case, the person added 5 to both sides. The expression is still equal to what is was before. I hope this helps!
Answer:
The answer is D
Step-by-step explanation:
Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution
The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.
What are the properties of equality?Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.
There are four types of properties of equality.
Addition property, when two equal quantities are increased by a common value, the equality is preserved.
Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.
Subtraction property, equality is maintained when a common term is subtracted from two equal terms.
Multiplying by a common term do not alter the equality, according to the multiplication property of equality.
Given, An equation 3x + 2 - x = 11x + 9.
The first step would be subraction property of equality.
We'll subtract 2 from each side of the equation.
3x + 2 - x - 2 = 11x + 9 - 2.
3x - x = 11x + 7.
We choose subraction property of equality to separate the vriables and the constants.
learn more about subtraction property of equality here :
https://brainly.com/question/29182336
#SPJ2
find the surface area of the cylinder using pie.
Please someone help with this!!!!
Answer:
Step-by-step explanation:
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A coffee shop worker is putting 18 pounds of coffee into 0.25-pound bags. How many small bags of coffee can the worker make?
Answer:
72 lb bags
Step-by-step explanation:
18 / 0.25 = 72 bags :D
What is the domain of a cube root function?
A. all integers
B. all positive numbers
C. all real numbers
D. all negative numbers
Answer:
C. All real numbers
Step-by-step explanation: