8.12
Given the diagram below, what is cos(45") ?
450
Triangle not drawn to scale
A. 2-3
B. 4/2
C.
D. JE
Answers
The value of cos 45° in the given triangle is 1/√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given right triangle the hypotenuse is 8√2
In the given triangle the two legs are equal.
Let x be the length of the two legs
By Pythagoras theorem, let us find the length of a leg.
x²+x²=(8√2)²
2x²=64(2)
2x²=128
Divide both sides by 2
x²=64
Take square root on both sides
x=8
Now let us find the cosine function, the ratio of adjacent side and hypotenuse
cos45 = 8/8√2
=1/√2
Hence, the value of cos 45° in the given triangle is 1/√2, Option C is correct.
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Related Questions
Shauna needs a new backpack. Tee one she wants cost $28 The store is having a 15% sale off backpacks this Friday What will the price of the backpack be?
Answers
Answer:it should be $23.80
Step-by-step explanation:28/100x85=23.80
What is the Unit price of 20 tickets for $14.00 ?
Answers
Answer: 1 ticket = 70 cents.
Step-by-step explanation:
If you get 20 tickets for 14.00, then we have to divide 14 by 20.
14 ÷ 20 = 0.7, or 70 cents. Because of this, each ticket will cost 70 cents.
Enjoy
CAN SOMEONE HELP MEEE PLEASEE!!
Answers
Answer:
D.6h+18
Step-by-step explanation:
0.965 x 102 help me plz
Answers
98.43
May nilbin be with you
Answer:
0.965× 102= 98.43
This is right ans
Make h the subject
G=5h-2f÷3
Answers
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )
10 (a) Simplify
t+t+t
Answers
3 bc im right and your wrong im bigger your smaller and idek what im saying
Mondays at pizza pan you can cheese to toppings at no extra cost for your pizza to tacos are mushroom sausage peppers and extra cheese how many different pizza's could you order
Answers
Answer:
We can order 35 different types of pizza based on the toppings.
Step-by-step explanation:
There are 3 different types of pizza crust which a person can choose for his pizza. On Monday's company has introduced new campaign in which a person can choose extra toppings of his choice at no additional cost. The topping are of 7 different types. The total number of different pizza which a person can have is 7C3. Solving through computation technique we get 35.
. A theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has
3 more seats than the previous one. Find the total number of seats in the theater.
Answers
-16+ x= -15
Need this answer
Answers
Answer:
x=1
Step-by-step explanation:
Add
16
to both sides of the equation.x=−15+16 Add −15 and 16.x=1
Answer:
Step-by-step explanation:
-16 + x = - 15
Add 16 to both sides
-16 + 16 + x = -15 + 16
x = 1
ANSWER CHOICES LISTED!!!
what was done to the linear parent function f(x)=x to get the function g(x)=1/7 x?
A. Vertically stretched by a factor of 7
B. Shifted 1/7 unit up
C. Vertically compressed by a factor of 7
D. Horizontally compressed by a factor of y
Answers
Answer:f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
A vertical compression by a factor of 7, would result in in g(x) being 1/7 times f(x)
54 POINTS!!!!! PLEASE HELP LOL
Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice.
Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer
How many hours each day does Amber spend coaching each sport?
Show your work.
Answers
Answer:
10(1*2)+s
Step-by-step explanation:
Suponha que, em sua empresa familiar,
Dona Joana vende um salgadinho a x reais
(por unidade). A quantidade vendida por dia
diminui com o preço e é dada por 32 – x.
Portanto, a equação quadrática
x (32 – x) = 31
significa que, com o preço x, o total
apurado nas vendas, isto é, a receita, é igual
a 31 reais por dia.
Qual o menor preço X do salgadinho para
que isto ocorra?
Answers
Answer:
1 Real
Step-by-step explanation:
Para encontrarmos o menor preço "x", do salgadinho que a empresa familiar Dona Joana costuma vender, basta resolvermos a equação quadrática informada pelo enunciado. Veja:
x(32 − x) = 31
Com a equação de 2º grau na forma fatorada, é possível desmembrarmos em duas outras equações. Uma delas é x = 31, que veio dos termos em negrito: x(32 − x) = 31, e a outra raiz é: 32 - x = 31, que veio dos termos em negrito x(32 − x) = 31.
Calculando as raízes:
x = 31
ou
32 - x = 31 ⇔ -x = 31 - 32 ⇔ -x = -1 ⇔ x = 1
Assim, as raízes são x = 31 e x = 1.
Testando os valores:
Para x = 31:
x(32 − x) = 31
31(32 - 31) = 31
31(1) = 31
31 = 31
Para x = 1
x(32 − x) = 31
1(32 - 1) = 31
1(31) = 31
31 = 31
Ok, está correto! E o menor valor do salgadinho para que a receite dê R$ 31,00 é R$ 1,00.
Resposta:
Portanto, o menor preço que o salgadinho pode ter para que a receita seja igual 31 reais é R$ 1,00.
Sherry is making snack mix for a school field trip.
The recipe shows the amount of each ingredient needed to make 6 bags.
Complete each statement to adjust the ingredients for each new situation if Sherry uses this recipe.
1. To make 18 bags of snack mix, Sherry needs____ cups of almonds
2. Sherry needs 6 cups of granola to make____ bags of the snack mix.
3. If Sherry uses 1 cup of cranberries, she will need to use____ cups of raisins.
4. The recipe will make____ bags of the snack mix if Sherry uses only 1 cup of granola.
Answers
Answer:
Step-by-step explanation:
1- To make 18 bags of snack mix, Sherry needs 4.5 cups of almonds.
As the original recipe is for 6 bags, and here Sherry wants to triple that amount. You have to multiply 1.5 x 3.
2- Sherry needs 6 cups of granola to make 12 bags of the snack mix.
If Sherry gets 6 bags using 3 cups of granola, she will get 12 by using 6 cups of granola.
3- If Sherry uses one cup of cranberries, she will need to use 2 cups of raisins.
As 1 cup of cranberries is the double of what the recipe states, Sherry should also double the amount of cups of raisins.
4- The recipe will make 2 bags of the snack mix if Sherry uses only one cup of granola.
As 1 cup of granola is a third of the amount detailed in the recipe for 6 bags, the amount of bags will also be reduced to a third. 6/3=2
PLZ MARK BRAINLIEST IT TOOK LONG TO WRITE PLZZ
16. Which is greater, 4^-2 or
2^-4? How do you know?
Answers
Answer: if this is a fraction 4\2 is greater
Step-by-step explanation: First you need same denominaters the lest coomon is four 2 over 4 is fine 4 over 2 two times 2 is 4 and 4 times 4 is 16 with will leave you with 16/4 or 2/4 simplfied 4/2 is greater
Answer:
The expressions are equal.
Step-by-step explanation:
Notice that [tex]a^{-b}=\frac{1}{a^b}[/tex] for all (real) [tex]a,b[/tex]. So [tex]4^{-2}=\frac{1}{4^2} = \frac{1}{16}[/tex] and [tex]2^{-4} = \frac{1}{2^4} = \frac{1}{16}[/tex]. Therefore, the expressions are equal.
If each muffin contains the same amount of sugar, how many kilograms of sugar, to the nearest thousandth, are in each corn muffin? Dry Ingredients for 1,000 Corn Muffins Ingredient Number of Kilograms Cornmeal 180 Flour 140 Sugar 64.1 Baking powder 12 Salt 3.15 Each corn muffin contains .600 kilograms of sugar.
Answers
Answer:
0.060 kg
Step-by-step explanation:
Number of corn muffins = 1000
Muffins Ingredient _Number of Kilograms Cornmeal _______180
Flour __________140
Sugar ________ 64.1
Baking powder _12
Salt ________3.15
The number of Kilograms of sugar in each corn muffin :
Kilogram of sugar / number of corn muffins
= 64.1 / 1000
= 0.0641 kg
To the nearest thousandth :
0.060 kg
JD opened a savings account with $400. The simple interest rate is 3% per year.
How much total money, including interest, will be in his account after 2 years?
Answers
Answer:
$424
Step-by-step explanation:
3%=0.03
400X0.03=12
12X2
24(2 YEARS)
400+24=$424
2k divided by (3+4)x1 to the 0 power + (5x5) k=7
Answers
geometry: pls help :(
Answers
CF=32
DF=28
this should be right:)
help i need help please
Answers
Answer:
hope it is correct
Step-by-step explanation:
i think it is more than, can , cannot, and required
The picture shows a blue rectangle split into 6
equal parts and an orange rectangle split into 6
equal parts.
Drag figures to each box so that their total area is equal to the number given.
Answers
Answer:
what is the answer?
Step-by-step explanation:
Answer:
Answers are in the pictures.
Step-by-step explanation:
am i right or wrong? i think im right but im not sure please help will give brainliest. if im wrong please explain the right answer to me
Answers
Answer:
Correct, good job!
Step-by-step explanation:
45% of $450:
$450 × 0.45 = $202.50
Add the 45% of $450 to $450
$202.50 + $450 = $652.50
I used a different method to double check your work
The following graphs are transformations of f(x) = x^2.
Complete the boxes below to describe the transformations.
A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _
Answers
Step-by-step explanation:
Let's look at A(x) and see how it is different from f(x)
it is shifted downwards by 8 unitsit is not shifted to the left or the rightTherefore A(x) = f(x) - 8
Let's look at B(x) and see how it is different from f(x)
it is not shifted downwards or upwardsit is shifted to the left 7 unitsTherefore B(x) = f(x + 7)
Let's look at C(x) and see how it is different from f(x)
it is shifted upwards by 4 unitsit is shifted to right by 5 unitsTherefore C(x) = f(x - 5) + 4
Let's look at D(x) and see how it is different from f(x)
it is not shifted downwards or upwardsit is not shifted to right by 12 unitsTherefore D(x) = f(x - 12)
Determine the end behavior of the function: f(x)= -3x*4
Answers
Help me with my math pls
Answers
[tex]18 - ( \sqrt[3]{27} )^{3} [/tex]
Answer: -9
[tex]( \sqrt[3]{ - \frac{1}{8} } )^{3} + 3 \frac{3}{4} [/tex]
Answer: 3 5/8.
[tex]5 \sqrt[3]{729} - 24 [/tex]
Answer: 21.
[tex] \frac{1}{4} - 2 \sqrt[3]{ \frac{1}{216} } [/tex]
Answer: 7/12.
[tex]54 + \sqrt[3]{ - 4096} [/tex]
Answer: 38.
[tex]4 \sqrt[3]{8000 } - 6[/tex]
Answer: 74.
does anyone know how to do number 3
Answers
Answer:
Do it yourself. You find the answer by using the midpoint formula (it is attached to this response). Just substitute the x and y values and do simple algebra.
Joann is buying a new couch with a discount of 18%. If the original cost of the couch was $610, what is the discounted price?
Which equations represent the final cost, x, of the couch?
Select all that apply.
x=610−610(0.18)
x=610(0.82)
x=610+610(0.18)
x=610(82)
x=610(1+0.18)
x=610−610(18)
x=610(1−0.18)
Answers
Answer:
$500.92
Step-by-step explanation:
-4(x-5)+8x=9x-3
Can somebody help me with this problem
Answers
Answer:
6.2x
Step-by-step explanation:
x = -17/5
hope its helpful ❤❤❤
THANK YOU.
❤
2. Jacque Cousteau is in a submarine at a depth of 112m. The submarine is rising at a constant rate of 2 metres every 3 seconds. a) Write an equation to represent the submarine's depth, D in metres, with respect to time, t, in seconds.
Answers
I hope this makes sense!!!!
Match each condition to the number of triangles that can be constructed to fit the condition. condition A: one side measuring 4 inches, another side measuring 8 inches, and a third side measuring 10 inches condition B: one angle measuring 60°, another angle measuring 40°, and a third angle measuring 90° condition C: one side measuring 4 inches, another side measuring 8 inches, and the angle between them measuring 70° condition D: one side measuring 5 inches, another side measuring 7 inches, and a third side measuring 12 inches condition E: one angle measuring 30°, another angle measuring 80°, and the length of the included side measuring 8 inches condition F: one angle measuring 40°, another angle measuring 80°, and a third angle measuring 60°
Answers
Answer:
I think the guy above me means:
No Triangles: A, C
One Triangle: D, F
Many Triangles: B, E
Step-by-step explanation:
¯\_(ツ)_/¯
The no triangle possible: B and D, one triangle possible : A, C, and E, and many triangles: F.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
Checking for the A)
4 + 8 > 10
There is one triangle possible.
For B)
60 + 40 + 90 = 190 ≠ 180 degree
No triangle possible because the sum of the angles in triangle is 180 degree.
For C)
There are two sides are given and one angle so SAS
One triangle is possible.
For D)
7 + 5 = 12
There is no triangle possible because the sum of the two sides is equal to the third side.
For E)
By the rule of ASA one triangle is possible.
For F)
60 + 80 + 40 = 180 degree
There are three angles are given, but no sides are given, so many triangles are possible.
Thus, the no triangle possible: B and D, one triangle possible : A, C, and E, and many triangles: F.
Learn more about the triangle here:
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Find the y-intercept.
Answer:
Answers
Answer:
usually the last numeral in an equation
Step-by-step explanation:
that'll be the y intercept
Answer:
shouldn't it be X.............m