Answer:
Perimeter = 271 meters
Step-by-step explanation:
third angle measure would have to be 180 - 122 = 58 degrees
you can use the law of sines:
sin 58° = sin 74°
90 b
.85 = .96
90 b
cross-multiply: .85b = 86.4
b = 102
now do again to find third side:
sin 58° = sin 48°
90 c
.85 = .74
90 c
.85c = 67
c = 79
now you know all 3 sides so add them to get perimeter (79+102+90) = 271
What is the slope of a line perpendicular to the line whose equation is 4x – y = 9.
Fully reduce your answer.
Help
ANSWER: -1/4
EXPLANATION:
4x-y=9
y=4x-9
(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)
(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient
So, m1 x 4= -1
m of perp line= -1/4
Help if you know the answer it due ASAP
Answer: ∠2 and ∠7
Step-by-step explanation:
Alternate exterior angles are a pair of angles on the outer side of each of the parallel lines but on opposite sides of the transversal.
Hope I helped!
7.7 is what percent of 8? Round to the nearest tenth.
Answer:
96.25 unrounded 96.3 rounded
Step-by-step explanation:
Answer:96.3
Step-by-step explanation:7.7/8=.9625 then times that by 100 and get 96.25 but round the 2 since the 5 is behind it and telling it to go up so you get 96.3
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
Write an inequality for the graph. pls help
Please help me 123 or 4
Answer:
3
Step-by-step explanation:
because divide Pt from both sides to get r=i/(pt)
write an equation in slope-intercept form for this line.
Answer:
y = - 8x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 8, then
y = - 8x + c ← is the partial equation
To find c substitute (- 1, 4 ) into the partial equation
4 = 8 + c ⇒ c = 4 - 8 = - 4
y = - 8x - 4 ← equation of line
The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
c. As the price of the bananas decreased by 15%, 3 more bananas were bought for 100 dollars. What is the price of bananas per dozen at present
Answer:
which question is this referred to?
Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.
Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?
Yes, Shawn has guessed well so far, so it is clear that he cannot miss.
No, all of the cards have been blue so far, so the next one must also be blue.
Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Answer:
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020
FIND THE VALUE OF X.
GIVEN ABCDEF~JKLMNP.
pls help I'm so confused X+8 What is the solution of 5x-1 > O? O x5-8 or X> 5 1 0x 5 x8 1 0 -85 0 -8 < X < 7
Step-by-step explanation:
(x + 8) / (5x - 1) > 0
Multiply both sides by (5x - 1)², which is always positive for all real values of x in the domain.
(x ≠ 1/5)
=> (x + 8)(5x - 1) > 0
=> x < -8 or x > 1/5.
The answer is the 2nd option.
Plss help this is due tmrr
Answer:
1) 17.80
2) 25.09
Step-by-step explanation:
1) From the diagram,
Opposite = x
Hypotenuse = 22
Angle of elevation = 54°
According to SOH trigonometry identity
sin theta = opposite/hyp
sin 54 = x/22
x = 22sin54
x = 17.798
Hence the value of x is 17.80 to the nearest hundredth
2) Opposite = 11
hypotenuse = x
Angle of depression = 26°
sin 26 = opp/hyp
sin 26 = 11/x
x = 11/sin26
x = 11/0.4384
x = 25.09
Hence the value of x to nearest hundredth is 25.09
so like imma ask dis one more time
Answer:
1/4+1/32
Step-by-step explanation:
1/4+1/4=1/2
1/32+1/32=1/16
I hope this helps:
(5, -7)
(10, 5)
2
5+
Answer:
Whats the Question
Step-by-step explanation:
This doesn't make sense
A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?
Answer:
Dimension = 6 feet × 3 feet
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 6 feet
Distance around the fence (Perimeter) = 18 feet
Dimension of the fence =?
Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:
Length (L) = 6 feet
Perimeter (P) = 18 feet
Breadth (B) =?
Perimeter of rectangle is given by:
P = 2(L + B)
18 = 2 (6 + B)
Clear the bracket
18 = 12 + 2B
Collect like terms
18 – 12 = 2B
6 = 2B
Divide both side by 2
B = 6/2
B = 3
Thus, the breadth of the rectangular fence is 3 feet
Dimension of the rectangular fence is given by:
Dimension = length × Breadth
Length (L) = 6 feet
Breadth (B) = 3 feet
Dimension = 6 feet × 3 feet
The figure shows a truss used in the construction of a building. The measure of ∠1 is 39°. Find the measure of ∠2.
Answer:
39
Step-by-step explanation:
Since the first measure is 39 that means the second is 39 because its the same.
The radius of the circle on a basketball court is 6 feet. What are the approximate
circumference and area of the circle?
Circumference: 37.7 feet
Area: 113.0 square feet
Circumference: 18.8 feet
Area: 37.7 square feet
Circumference: 18.8 feet
Area: 113.0 square feet
Circumference: 12.0 feet
Area: 18.8 square feet
Answer:
C= 37.69ft
A= 113.09ft
Step-by-step explanation:
Circumference=
=37.69
Area=
Area = pi * 6 ^2
Area =113.09
Multiply (3+b) × (4+2b)
(3+b)*(4+2b)=3*4+3*2b+b*4+b*2b=
=12+6b+4b+2b^2=12+10b+2b^2=2(6+5b+b^2)=
=2(b^2+5b+6)
C=242 use 22/7 as pie find the radius
Answer: r=38.5
Step-by-step explanation:
Use circumference equation 242=2(22/7)r
20 points
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answer:
I think the answer is A, D, E, F, and G.
Tell me if i'm right or wrong please.
Answer:
adefg
Step-by-step explanation:
Find the vault of each variable
Translate the phrases to algebraic expressions.
The sum of 8 times a number and 3
Answer:
8x+3
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
An elevator is on the 15th floor. it goes down eight floors. What floor is the elevator on now?
Answer:
7
Step-by-step explanation:
15 - 8 = 7
Which of the following rational functions is graphed below?
Answer: Choice C [tex]f(x) = \frac{1}{x(x+4)}[/tex]
========================================================
Explanation:
The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.
The vertical asymptote is due to a division by zero error.
When x = 0, the denominator x(x+4) turns into 0 since
x(x+4) = 0(0+4) = 0*4 = 0
Similarly, when x = -4, the denominator is also zero
x(x+4) = -4(-4+4) = -4*0 = 0
So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.
This is why the answer is choice C. [tex]f(x) = \frac{1}{x(x+4)}[/tex]
plz help meee 2 more problems and I am done
Answer:
Step-by-step explanation:
Figure 1,
EA and EB are the opposite rays.
EC bisects angle FEG.
a). m∠FEC = [tex]\frac{1}{2}(m\angle FEG)[/tex]
(2x + 6) = [tex]\frac{1}{2}(40)[/tex]
2x + 6 = 20
2x = 14
x = 7
b). ED⊥AB
Therefore, m∠AED = 90°
m∠AED = 11y + 13 = 90°
11y = 90 - 13
11y = 77
y = 7
Figure 2,
NC bisects ∠WNB,
Therefore, ∠WNC ≅ ∠CNB
m∠WNC = m∠CNB
3v - 4 = 2v + 6
3v - 2v = 4 + 6
v = 10
Therefore, m∠WNC = x = (3v - 4)
x = 3(10) - 10
= 30 - 10
x = 20
Which of the following values of x makes this equation true? (-4x – 3) - (7x - 3) = 22
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-4x-3)-(7x-3) =22 Equation
Step 2
(-4x-3)-(7x-3) =22 Simplify
-11x=22
Step 3
-11x=22 Divide
Answer
x=-2
Now we have to,
→ find the required value of x.
Then the value of x is,
→ (-4x - 3) - (7x - 3) = 22
→ -4x - 3 - 7x + 3 = 22
→ -11x + 0 = 22
→ x = -22/11
→ [ x = -2 ]
Thus, the value of x is -2.
Gavin is saving up to buy a new phone. He already has $100 and can save an additional $7 per week using money from his after school job. How much total money would Gavin have after 10 weeks of saving? Also, write an expression that represents the amount of money Gavin would have saved in w weeks.
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Mathematical expression:
A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.
Here we have
Gavin is saving up to buy a new phone.
He already has $100 and can save an additional $7 per week using money from his after-school job
Let us assume that he worked for 'w' weeks
The amount earned for 'w' weeks = 100 + 7w
Hence, the required expression is 100 + 7w
The total amount saved in 10 weeks = 100 + 7(10) = $ 170
Therefore,
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Learn more about Expression at
https://brainly.com/question/21394250
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She said I drove her away with my emotions
What is the coefficient in the inequality 3x=10?