Answer:
If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Step-by-step explanation:
We are given sinФ = 7/12
We need to find cosФ
The basic trigonometric functions of right triangle are:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
We need values of adjacent and hypotenuse to find cosФ
Using Pythagoras theorem we can find the value of adjacent
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]
We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]
Inserting values and finding adjacent:
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]
So, value of Adjacent is [tex]\sqrt{95}[/tex]
Now finding cosФ
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12
[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]
So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
The legs of a right triangle are 5 units and 15 units. What is the length of the hypotenuse? (4 points)
1. 200 units
2. square root 200 units
3. square root 250 units
4. 250 units
Answer:
3.) Square Root of 250
Step-by-step explanation:
helpp ill mark u as brain list
Answer:
the second one
-1 -2
3 0
5 1
7 2
HELP THIS IS DUE IN 15 MINUTE AND I DONT KNOW HOW TO SOLVW IT
Answer:
infinity
Step-by-step explanation:
they are the same line on a graph so they have infinty solutions
I'll give Brianiest for the first answer if correct pleaseee!!
Answer:
its b
Step-by-step explanation:
they have the same slope
1)-4/-6=2/3
2)-2/-3=2/3
BUT different y-int
1)-6/-26=1/4
2)-3/-6=1/2
so no solution
Edward deposited $9,500 into savings account 2 years ago. The simple interest rate is 4%. How much money did Edward earn in interest ? What would be his new account balance
Answer:
$760 earned in intrest
$10260 new account balance
Step-by-step explanation:
First we have to find 4% of 9500
use the formuala
[tex]\frac{4}{100} =\frac{x}{9500}[/tex]
4×9500=38000
38000÷100=380
now 380×2=760
add 760 to 9500 for new account balance
SUPER EASY HELP ME
Which of the following relations is a function?
A.
(2, 0), (-5, 3), (5, 1), (-5, 5)
B.
(2, 4), (-5, 6), (2, 3), (-6, 2)
C.
(5, 1), (-5, 4), (2, 1), (5, 2)
D.
(2, 4), (-5, 2), (5, 1), (-6, 2)
Answer:
D
Step-by-step explanation:
it is a function because the x-value does not repeat
2(x²+3x)+12=0 write in standard form
Answer:
2 x^2 + 6 x + 12 = 0
Step-by-step explanation:
Expand the following:
2 (x^2 + 3 x) + 12 = 0
2 (x^2 + 3 x) = 2 x^2 + 2 (3 x):
2 x^2 + 2 3 x + 12 = 0
2×3 = 6:
Answer: |
| 2 x^2 + 6 x + 12 = 0
What is the product? [-3 4 2 -5]x[3 -2 1 0]
Answer:
71829x
Step-by-step explanation:
Answer:
The correct answer is option A
Step-by-step explanation
You got this! keep going! :D
Help 2.0 mathhhhhhhhhhh
Answer:
the answer is -13/15
Step-by-step explanation:
hope this helps
Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)^2
LOOK AT THE PICTURE REALLY EASY
Answer:
D
Step-by-step explanation:
We have the equation:
[tex]x+9=4(x-1)^2[/tex]
To convert this to standard form, we can simply expand.
First, expand the right-hand side:
[tex]x+9=4(x^2-2x+1)[/tex]
Distribute the right:
[tex]x+9=4x^2-8x+4[/tex]
Subtract 9 from both sides:
[tex]x=4x^2-8x-5[/tex]
Finally, subtract an x from both sides:
[tex]0=4x^2-9x-5[/tex]
Flip:
[tex]4x^2-9x-5=0[/tex]
Hence, our answer is D.
I have this question I've thought about it but I couldn't get the answer i really will appreciate if anyone helps me out with it the question is Malia bought 14 cans of cat food. Each can weigh 8 ounces. How many total ounces of cat food did she buy?
Answer:
112 ounces
Step-by-step explanation:
Malia bought 14 cans of cat food
Each of the can weighs 8 ounces
Therefore the total ounces of cat food bought can be calculated as follows
= 14×8
= 112 ounces
Jen and Brandy are studying soil. They each collected a sample of soil from the front yard of the school and then analyzed its components. Finally, they compared their results and found that they were very different. Their findings are recorded in the chart below.
How should Jen and Brandy proceed?
A.They should discuss their results and try to figure out why they are different.
B. They should ignore the differences in their results and complete their lab report.
C. They should argue about which student is right.
D. They should ask their teacher which set of results are more accurate.
Answer:
c.
Step-by-step explanation:
:)
Answer:
A
Step-by-step explanation:
i did the quiz and got a 96%
Does this table represent a direct variation?
Answer:
yes, correct me if im wrong
Step-by-step explanation:
No it is not a direct variation or A
The cost of 5 pounds of vegetables is $7.55. What is the constant of proportionality that relates the cost of dollars, y,
to the number of pounds of vegetables, x?_(Write a numeric value in decimal form. Do not include units)
Answer:
1.51
Step-by-step explanation:
[tex]y[/tex] = Cost in dollars of vegetables
[tex]x[/tex] = Number of pounds of vegetables
[tex]y\propto x[/tex]
[tex]\Rightarrow y=kx[/tex]
where k = Constant of proportionality
[tex]k=\dfrac{y}{x}[/tex]
In one case
[tex]y = 7.55\$[/tex]
and [tex]x = 5\ \text{pounds}[/tex]
[tex]k=\dfrac{7.55}{5}\\\Rightarrow k=1.51[/tex]
The constant of proportionality is 1.51.
how to check the answer of x over -4 + 3 = - 7
Answer:
[tex]\frac{x}{4} + 3 = -7\\\\\frac{x}{4} = -10\\\\x = -40[/tex]
Sally and Joan were able to dust the house in 3 hours together. It takes Joan 10 hours to finish the same job alone. Without help, how long would it take Sally to finish the same job ?
Answer:
4.3 hours
Step-by-step explanation:
Let the number of hours Sally does a job = x
Let the number did hours Joan does a job be equal to y
Sally and Joan were able to dust the house in 3 hours together.
1/x + 1/y = 1/3
It takes Joan 10 hours to finish the same job alone.
Hence,
1/x + 1/10 = 1/3
1/x = 1/3 - 1/10
Least common dey = 30
1/x = 10 - 3/30
1/x = 7/30
Cross Multiply
x × 7 = 30
7x = 30
x = 30/7
x = 4.2857142857 hours
Approximately = 4.3 hours
Without help, it would take Sally 4.3 hours to finish the same job.
Suppose 3 rooms cost $596 and 5 rooms cost $860. Write an equation that represents the total cost for the number of rooms.
Find the slope of the line passing through the two points.
(12, 1), (36, 42)
Answer:
m=41/24
Step-by-step explanation:
The slope of the line passing through the points (12, 1), (36, 42) is m=41/24.
To find slope, we need to use the slope formula*.
42 - 1/36 -12 = 41/24
m = 41/24
c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.
Answer:
3 times
Step-by-step explanation:
Firstly we calculate the number of minutes between 8 and 11 am
The number of hours is 3 hours
The number of minutes is 180 minutes since 1 hour is 60 minutes
Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180
The multiples are;
60, 120, 180
This means that they leave together 3 times
Can someone answer this?
Indirect proof and inequalities in triangles Geometry
Answer:
1 and 3
Step-by-step explanation:
and the bottom is 4
I’ll Mark u as brainless if you solve this
i think the person below me is correct and the answer is 12
Answer:
M equals 12
I hope this helps you.
Which best describes the relationship between the 125° angle and angle A?
They are same side interior angles. Angle A measures 55°.
They are alternate interior angles. Angle A measures 125°.
They are vertical angles. Angle A measures 125°.
They are corresponding angles. Angle A measures 55°.
Answer:
A.
Step-by-step explanation:
They are same side interior angles. Angle A measures 55°.
PLEASE MARK IT AS BRAINLIEST
Answer:
They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
just is
Solve 6x^2-2x+1=0 using any method.
Answer:
[tex]x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]
There are no real roots.
Step-by-step explanation:
[tex]6x^2-2x+1=0\\x=\frac{2-\sqrt{2^2-4*6} }{2*6} \\x=\frac{2-\sqrt{-20} }{12}\\x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]
please help me due in a few minutes
Answer:
7 units down
Step-by-step explanation:
x+4
x-3
4-(-3) =7
please help , picture above!
Answer:
The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE
Step-by-step explanation:
AE is a continuous line with consistent slope.
AC is a segment of this line and is the hypotenuse of triangle ABC.
CE is also a segment of AE and is the hypotenuse of triangle CDE.
Hope this helps.
The marked price of an article is Rs.100. If its sold at Rs.80 , find the discount rate.
Please answer quick.
Answer:
20%
Step-by-step explanation:
Given parameters:
Marked price = Rs. 100
Selling price = Rs. 80
Unknown:
Discount rate = ?
Solution:
The price on the label of an article is the marked price;
Discount amount = Marked price - selling price
= Rs. 100 - Rs. 80
= Rs. 20
Discount rate = [tex]\frac{Discount }{Marked price } x 100[/tex]
Discount rate = [tex]\frac{20}{100}[/tex] x 100 = 20%
Guy’s pls help me!!
What is the product of x^2 - 2x + 3 and x +1?
1) x^3 - x^2 + x + 3
2) x^3 - 2x^2 + 3x
3) x^2 - 3x +2
4) x^2 - x+4
HELP ASAP!!! WILL GIVE BRAINLIEST which expression gives the length of pq in the triangle shown below?
Answer:
C
Step-by-step explanation:
The Pythagorean Theorem says [tex]a^{2} +b^{2} =c^{2}[/tex], with c being the hypothomes, which is not part of the right angle. So, when you square a and b, you get [tex]c^{2}[/tex]. To find the value of c, you find its square root.
Hope I helped!!!
There were 20 cups of pudding left in the cafeteria after lunch. The lunch aide poured the extra pudding into quart sized containers how many quart sized containers will she need?
Answer:
5
Step-by-step explanation:
1 galon =16 tazas
1/4 de galon=4 tazas
1+.25= 1.25 ó 1+1/4=1, 1/4 y eso lo multiplico por 4
1.25 ×4= 5
Graph the line
y=-x+5
HURRY PLEASE!
Answer:
last one on the left an go up and place dot in between 4 and 6
Step-by-step explanation: