Answer:
x=6 and y=−10
Step-by-step explanation:
You can also solve this system by elimination.)
6x+2y=16;2x−2y=32
Step: Solve6x+2y=16for x:
6x+2y+−2y=16+−2y(Add -2y to both sides)
6x=−2y+16
it's proceeds
Give each trig ratio as a fraction in its simplest form.
Sin Q = Cos Q = Tan Q = Sin R = Cos R= Tan R=
Answer:
sin q = 14/50
cos q = 24/25
tan q = 7/24
sin r = 24/25
cos r = 7/25
tan r = 24/7
Step-by-step explanation:
The required trigonometric ratio are as follows;
[tex]SinR= \frac{24}{25}, CosR = \frac{7}{25}, TanR = \frac{24}{7} \\\\SinQ = \frac{7}{25}, CosQ = \frac{24}{25}, TanQ = \frac{7}{24}[/tex]
WE have to determine the trigonometric function in simplest form.
In order to find trigonometric ratio, In right angle triangle QRP.
Length of PR = 14
Length of QR = 50
To find length of PQ using Pythagoras theorem.
[tex](H)^{2} = (P)^{2} + (B)^{2}\\\\(50)^{2} = (14)^{2} + (B)^{2} \\\\B^{2} = 2500 - 196\\\\B^{2} = 2304\\\\B = 48[/tex]
Length of PQ is 48.
Therefore,
Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse)
Then,
[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{14}{50}\\\\SinQ = \frac{7}{25}[/tex]
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{48}{50} \\\\CosQ = \frac{24}{25}[/tex]
The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{14}{48} \\\\TanQ = \frac{7}{24}[/tex]
And In right angle triangle RPQ,
Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{48}{50}\\\\SinQ = \frac{24}{25}[/tex]
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{14}{50} \\\\CosQ = \frac{7}{25}[/tex]
The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{48}{14} \\\\TanQ = \frac{24}{7}[/tex]
To know more about Trigonometric function click the link given below.
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The charge for a bicycle repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total cost (c) of the repair?
Answer:
15.78
Step-by-step explanation:
4 goes into 18 (4 quarters in 1 hour), 4.5 then 4.50+ 9.28+2= $15.78
Which three lengths CANNOT be the lengths of the sides of a triangle? *
5 points
23m, 17m, 14m
O 11m, 11m, 12m
05m. 7m, 8m
Answer:
0.5m 7m 8m cannot be the lengths of the sides of a triangle.
Divide the given polynomial by the given monomial.
Answer:
Looks like all of your questions have been answered.
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes my homework is due today
Answer: 38
Step-by-step explanation: to evaluate an expression for these variables, plug in those numbers for the variables.
Plugging in -1 for y and -19 for z gets you this:
-2(-1)^2(-19)
Now simplify according to order of operations (PEMDAS - parenthesis exponents multiplication/division addition/subtraction)
-1^2 = 1
-2(1) = -2
-2(-19) = 38
Your answer is 38
Please help this is times
I NEED HELP ASAP
FIND THE MEASURE OF MISSING ANGLE
Answer:
50
Step-by-step explanation:
a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees
if ABC is a straight line and angle CBD=119
Hello this is not question .
-20 = -5 - 3x I need help on this
Answer:
x=5
Step-by-step explanation:
add 5 to both sides
-20+5 = -3x
-15=-3x (divide)
x=5
Factorise the following.
Answer:
viii. 2x(1 - 2x)(1 + 2x)(1 + 4x²)
ix. 4xy
Step-by-step explanation:
viii. 2x - 32x⁵
= 2x(1 - 16x⁴)
= 2x(1² - (4x²)²)
= 2x(1 + 4x²)(1 - 4x²) ( a² - b² = (a + b)(a - b))
= 2x(1 + 4x²)(1² - (2x)²)
= 2x(1 + 4x²)(1 - 2x)(1 + 2x)
ix. (x+y)² - (x - y)²
= (x+ y + x - y)( x + y - x + y)
= 2x x 2y
= 4xy
VOLUME!! *last question*
Answer:
D.756
Step-by-step explanation:
thanks me later
pa follow po thankyou
Which set of sides would make a right triangle?
Answer:
c
Step-by-step explanation:
Alternate exterior angles are congruent
Which angle forms a pair of alterhate
exterior angles with angle 3?
f
<3 = 41?)
Answer:
Angle 6
Step-by-step explanation:
The opposite exterior angle to angle 3 is angle 6.
For another example, the opposite exterior to angle 1 is angle 8.
If you were to cut them out and put them over each other, they're congruent. Hope that helped you out :)
Answer:
<3=<6 forms a pair of alternate
exterior angles with angle 3.
A density graph for all of the possible times from 50 seconds to 300 seconds
can be used to find which of the following?
A. The probability of a time from 75 seconds to 350 seconds
B. The probability of a time from 25 seconds to 250 seconds
C. The probability of a time from 150 seconds to 350 seconds
D. The probability of a time from 75 seconds to 250 seconds
Answer: D. took quiz :)
Step-by-step explanation:
Answer: d. the probability of a time from 75 seconds to 250 seconds
Step-by-step explanation:
I need an idea for how to film something maybe around 30 seconds using this criteria. I can use anything in my house and have one actor.
EXERCISE
Use framing to shoot a scene that creates a feeling of a character being trapped (claustrophobia), then emerging from that sense of entrapment.
● Use six shots
● Do not use camera movement
● Do not rely on acting
Answer: you can maybe show them being trapped in the bathroom them come in with a sharp knife and splash or put ketchup on the part you stabbbed them
Step-by-step explanation:
What is an equation of the line that passes through the points (- 2, 1) and (- 8, 4) ?
Answer:
y=-x/2
Step-by-step explanation:
m=(4-1)/(-8-(-2))
m=3/-6
m=-1/2
b=y-mx
b=1-(-1/2*(-2))
b=1-1
b=0
y=-x/2
Brian purchased a trophy in the shape of a square pyramid for the most valuable player on his lacrosse team. The trophy had a slant height of 4 inches and each side of its base measured 4 inches. Brian wanted to engrave on the four sides of the trophy but not on the base of the trophy. How many square inches of the trophy were available for engraving?
Answer:
up , up , up , upitdy.
ngl im not sure bro but somehow i got 16 4x4=16
Step-by-step explanation:
There are 200 male students at a particular school. Of these, 58 play football. 40 play basketball, and
8 play both
a) Draw and label a Venn diagram for this situation.
b) How many play both sports.
c) How many play basketball but not football?
d) How many play football but not basketball?
e) How man do not play football or basketball?
CORRECT ANSWERS ONLY
Answer:
B) 8 play both
C)32 play only basketball
D) 50 play only football
E) 110 play none
The Venn Diagram is a method of representing stets in a logical manner. The number of students who don't play any of the sports is 110.
What is Venn Diagram?The Venn Diagram is a method of representing stets in a logical manner.
Given that there are 200 male students at the school. Also, Of these, 58 play football, 40 play basketball, and 8 play both.
A.) The venn diagram can be drawn as shown below.
B.) The number of students who play both sports is 8.
C.) The number of students who play basketball but not football, are the student in the blue circle. Therefore, the number of students is 32.
D.) The number of students who play football but not basketball, are the student in the red circle. Therefore, the number of students is 50.
E.) The number of students who don't play any of the sports,
= Total student - Basketball playing student - Football playing student
- both sports playing student
= 200 - 50 - 32 - 8
= 110
The number of students who don't play any of the sports is 110.
Learn more about Venn Diagram:
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2³(3÷4+x)+12=2 iuybki[ojiouhnkluibkjb
Answer:
what?
Step-by-step explanation:
hansnskekkwkwnw
Answer:
X=-2
Step-by-step explanation:
1. Open up the brackets
You then get
6+8x+12=2
2. Send the whole numbers to the other sides
8x= 2-6-12
8x = - 16
3. Divide both sides by 8 to leave x alone
X=-2
the scientific notation, 170.04 is written as
Answer: 1.7004 × 10^2
Step-by-step explanation:
Help please i need i will mark you brill
Answer:
(x^2)*(56+3.42)
i think that is the answer
Step-by-step explanation:
Find the interest on $4,000 at 3% for 4 months.
Answer:
$80 interest will be owed for 4 months
Step-by-step explanation:
P is the principal amount, $4000.00.
r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.
t is the time involved, 3....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.25....year time periods.
To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:
Electromagnetic radiation is more common than you think. Radio and TV stations emit radio waves when they broadcast their programs; microwaves cook your food in a microwave oven; dentists use X rays to check your teeth. Even though they have different names and different applications, these types of radiation are really all the same thing: electromagnetic (EM) waves, that is, energy that travels in the form of oscillating electric and magnetic fields.
Consider the following:
radio waves emitted by a weather radar system to detect rain drops and ice crystals in the atmosphere to study weather patterns;
microwaves used in communication satellite transmissions;
infrared waves that are perceived as heat when you turn on aburner on an electric stove;
the multicolor light in a rainbow;
the ultraviolet solar radiation that reaches the surface of the earth and causes un-protected skin to burn; and X rays used in medicine for diagnostic imaging.
Which of the following statements correctly describe the various forms of EM radiation listed above?
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
D. They propagate at different speeds through non-vacuum media depending on both their frequency and the materialin which they travel.
E. They require different media to propagate.
Answer:
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
Step-by-step explanation:
Electromagnetic waves have electric and magnetic fields which travel in the free space together. They travel at the speed of light and accelerate by particle oscillates. EM radiations are differently used for different purposes. They are modified in order to create micro waves or radio waves.
Find the value of x.
Then find the value of y.
Answer:
x = 2°y = 150°Step-by-step explanation:
First, let's find x:-
(15x-2)° = (9x+10)°
15x-2 = 9x+10
6x = 12
x = 2°
Now, let's find y:-
28 + y° = 180°
y = 180-28
y = 150°
______________________
Hope this helps you!
Have a great day!
please help
a) Complete the table for the graph of y = 0.98 for values of x from 0 to 5
(2)
0
1
3
X
2
4
5
y
(1
b) Which of the following could be the graph of y = 0.94 ?
B.
A
C
Total marks
C C
Answer:
Either B or C but i'll have to say B if I had to choose.
Step-by-step explanation:
[tex] {0.9}^{0} = 1[/tex]
[tex] {0.9}^{1} = 0.9[/tex]
[tex]0.9 ^{2} = 0.81[/tex]
[tex] {0.9}^{3} = 0.729[/tex]
[tex] {0.9}^{4} = 0.6561[/tex]
[tex] {0.9}^{5 } = 0.59049[/tex]
As we can tell it decreases slowly.
What’s b I have to type it in
Answer: solve the problems and then divide it
Step-by-step explanation:
A bowl of mixed vegetables contains carrots, broccoli, and cauliflower. If the bowl contains 80 vegetable pieces, and 25% of the pieces are carrots, how many carrots are in the bowl?
Answer:
Number of carrot pieces in bowl = 20
Step-by-step explanation:
Given:
Total number of vegetable pieces = 80
Percent of carrot = 25%
Find:
Number of carrot pieces in bowl
Computation:
Number of carrot pieces in bowl = Total number of vegetable pieces x Percent of carrot
Number of carrot pieces in bowl = 80 x 25%
Number of carrot pieces in bowl = 80 x 0.25
Number of carrot pieces in bowl = 20
Answer:
20
Step-by-step explanation:
I took it on Edge
A health fitness research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend each week exercising at the center. They want to estimate the mean within a margin of error of 0.4 hours with a 95% level of confidence. Previous data suggest that the population standard deviation (sigma) is 2.6 hours. What is the smallest sample size that meets these criteria
Answer:
the smallest sample size is 163
Step-by-step explanation:
The computation of the smallest sample size that meets these criteria is shown below:
n = (Z a/2 × Standard deviation ÷ Margin of error ) ^2
Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )
Standard Deviation ( S.D) = 2.6
Margin of error i.e. ME =0.4
n = ( 1.96 × 2.6 ÷ 0.4) ^2
= 163
Hence, the smallest sample size is 163
Factor -9y - 3 with a negative GCF
Answer:
-3(3y-1)
Step-by-step explanation:
−9y−3
Factor out 3.
3(−3y−1)
Rearrange Terms.
-3(3y-1)
PLEASE HELP ME!?!
(2 questions)