Answer:
[tex]p = 19.18[/tex]
Step-by-step explanation:
This question is illustrated using the attachment and will be solved using cosine formula
[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]
Let the strawberry side be s, the Green beans be b and the pumpkins be p.
The cosine formula in this case is:
[tex]g^2 = s^2 + p^2 - 2spCosG[/tex]
Where
[tex]s = 10[/tex]
[tex]g = 18[/tex]
[tex]<G =68[/tex]
The equation becomes
[tex]18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68[/tex]
[tex]324 = 100 + p^2 - 20 * p * 0.375[/tex]
[tex]324 = 100 + p^2 - 7.5p[/tex]
Collect Like Terms
[tex]p^2 - 7.5p + 100 - 324 = 0[/tex]
[tex]p^2 - 7.5p - 224 = 0[/tex]
Using quadratic formula:
[tex]p = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Where
[tex]a = 1[/tex]
[tex]b = -7.5[/tex]
[tex]c = -224[/tex]
[tex]p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}[/tex]
[tex]p = \frac{7.5\±\sqrt{56.25+896}}{2}[/tex]
[tex]p = \frac{7.5\±\sqrt{952.25}}{2}[/tex]
[tex]p = \frac{7.5\± 30.86}{2}[/tex]
[tex]p = \frac{7.5 + 30.86}{2}[/tex] or [tex]p = \frac{7.5 - 30.86}{2}[/tex]
[tex]p = \frac{38.36}{2}[/tex] or [tex]p = \frac{-23.36}{2}[/tex]
[tex]p = 19.18[/tex] or [tex]p = -11.68[/tex]
But length can not be negative.
So:
[tex]p = 19.18[/tex]
Please help i will mark braniliest and 30 points
If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7
A) x=8
B) x = 7
C) x = 12
D) x= -8
Answer:
D) x = -8
Step-by-step explanation:
All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.
Mr. Grant's credit card bill was $2,684.72. If he has already paid off $1,865.24 of the amount due, how much more does he have to pay?
A.
$817.48
B.
$819.48
C.
$821.41
D.
$822.48
E.
$825.41
Answer: for plato users .
B. $819.48
Step-by-step explanation:
Zoe paid 18.60 in sales tax and tips for dinner. The sales tax is 11% and she tipped 20%. What was the price of Zoe’s dinner before sales tax and tip?
Answer:
$60 was the price of Zoe's dinner, before sales tax and tip.
Step-by-step explanation:
Sales tax = 11% * original price = 0.11 * x= 0.11xTips for dinner = 20% * original price = 0.20 * x = 0.2x0.11x + 0.2x = 18.600.31x = 18.60x = 60$60 was the price of Zoe's dinner, before sales tax and tip.Answer:
$60 was the price of Zoe's dinner, before sales tax and tip.
Step-by-step explanation:
1. Sales tax = 11% times original price = 0.11 times x= 0.11x
2. Tips for dinner = 20% times original price = 0.20 times x = 0.2x
3. 0.11x + 0.2x = 18.60
4. 0.31x = 18.60
5. x = 60
6. $60 was the price of Zoe's dinner, before everything else
Which of the following is the correct slope-intercept form of the equation -4x + 2y = 14?
y = 2x + 7
y = 4x + 14
y = -2x + 7
y = -4x + 14
which graph represents the system of equation? Y greater than negative 1/3 x + 4 + 2x - 3y less than equal to 12
Answer:7x/3 - 3y +4 hope this helps!
Step-by-step explanation:
point)
Complete the missing value in the solution to the equation:
6x + x = y + 2x
(3,
Answer:
-2
Step-by-step explanation:
{(0, 1), (1, 4), (2, 5), (3, 7)}
not a function or function
Answer:
It's a function
Step-by-step explanation:
a water tower casts a shadow that is 21ft long.a tree casts a shadow that is 8ft long estimate the height of the water tower
Answer:
I ain't never seen 2 pretty bestfriends
Step-by-step explanation:
SOMEONE PLEASE ANSWER
the equation is 7x-3 over 9 > 8-2x
Answer:
solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]
The graph is attached below.
Option C is correct option.
Step-by-step explanation:
We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]
First we will solve the inequality to find value of x
Solving:
[tex]\frac{7x-3}{9}\geq 8-2x[/tex]
Step 1: Multiply both sides by 9
[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]
Step 2: Adding 3 on both sides
[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]
Step 3: Add 18x on both sides
[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]
Step 4: Divide both sides by 25
[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]
So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]
The graph is attached below.
Option C is correct option.
Solve 4x + 8y = 16 for x.
O A. x=-8y + 4
O B. x= -2y+ 16
O C. x= -2y+ 4
D. X = 8y + 16
4x + 8y = 16
4x = 16 - 8y
4x = 4 (4 - 2y)
x = 4( 4 - 2y)/4
X = 4 - 2y
X = -2y + 4
help fast please it's timed
Answer:
2x= 3x-7
-x=-7
x=7
so, the first option
Step-by-step explanation:
what is the coefficient of -2x+8=10
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x+8=10
Step 1: Subtract 8 from both sides.
−2x+8−8=10−8
−2x=2
Step 2: Divide both sides by -2.
−2x−2=2−2
x=−1
Answer:
Answer:
-2
Step-by-step explanation:
The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.
#3, #19, and #16 please!!
The diameter of a circle is 10 m. Find its circumference in terms of \piπ.
Answer:
31.42 m
Step-by-step explanation:
10* π= 31.415( which can round to 31.42)
Step-by-step explanation:
Diameter= 10 m
Circumference of a circle= π×Diameter
= π×10
= 31.41593 or 31.42
Multiply the vector in the graph by a scale factor of Negative one-half.
The resulting vector will be
✔ shorter than
the original vector.
The resulting vector will be in Quadrant
✔ II
shorter than and II are the answers
Answer: The answer is shorter than and ll
Step-by-step explanation:
When multiplying the vector in the graph by a scale factor of -1/2. The resulting vector will be shorter than and II. Option D is correct.
Multiply the vector in the graph by a scale factor of Negative one-half.The resulting condition for the vector is to be determined.
The scale factor is defined as the ratio of modified change in length to the original length.
What is a vector?A vector is defined as phenomenon that has two independent belongings magnitude and direction. The term also denotes the mathematical or geometrical replica of such a quantity. Norms of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.
Here, The scale factor is -1/2, where a negative sign shows that the vector will get inverted and 1/2 implies that it will be shortened by 1/2.
Thus, when multiplying the vector in the graph by a scale factor of 1/2. The resulting vector will be shorter than and II. Option D is correct.
Learn more about scale factors here:
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1) Slope = -4, y-intercept = 2
Please help my grade are low!!
Answer:
250%of4.4=look it up girl
Step-by-step explanation:
Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.
Answer:
x = 20
Step-by-step explanation:
You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]
a = 12
b = 16
and c would be x.
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
square root
c = 20 or x = 20
Solve for y y + 7 = 9
Answer:
y = 2
Step-by-step explanation:
Given
y + 7 = 9 ( subtract 7 from both sides )
y = 2
Simplifying
y + 7 = 9
Reorder the terms:
7 + y = 9
Solving
7 + y = 9
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + y = 9 + -7
Combine like terms: 7 + -7 = 0
0 + y = 9 + -7
y = 9 + -7
Combine like terms: 9 + -7 = 2
y = 2
Simplifying
y = 2
-FrxziteTheLxoser- I hoped i helped you today! :)
The amount of time between interest payments is known as:
A. period.
B. simple interest.
C. interest.
D. principal.
A. period.
This is the answer
PLEASE HELP!!!!!!!!! 32 POINTS.
Sandy has 15 roses, 5 daisies, and 10 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?
Answer:
5
Step-by-step explanation:
Sandy has 15 roses, 5 daises and 10 tulips
She wants to arrange the flower in such a way that each bouquet will have the same flower in it
Therefore the greatest number of flowers that will be in each bouquet is 5 flowers this is so inorder to make each bouquet contain equal number of flowers, this means that one bouquet must not be greater than the other.
Find the unit rate
5 calculators cost $180 ________________________
Mowed 6 yards for $30 ________________________
10 chocolate bars cost $17 ____________________
5 movie tickets cost $35 __________________________
$19 for 5 books _______________________________
200 bagels in 2 hours ________________________
56 people can ride the Ferris Wheel in 4 hours _____________
5 cans of green beans for $3.20 ______________________
3 pounds of bananas for $3.06 ________________________
4 tickets to the movies costs $36 ___________________
PLEASE HELP BRAINLIEST IF CORRECT
Answer:
vvvvvvvv
Step-by-step explanation:
A.36
B.5
C.1.70
D.7
E.3.80
F.100
G.14
H.0.64
I.1.02
J.9
Basically you dived the two numbers for your awnser
On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?
Answer:
80 children
Step-by-step explanation:
(200 * 40) /100 = 80
Emma's sister is nine years older
than Emma. Their combined ages
add up to 49. How old is Emma?
(The answer isn’t 40 bc it say that her sister is 9 years OLDER then Emma) pls help
Answer:20 I believe
Step-by-step explanation:
Answer:
yeah it should be 20 they're correct
What's the answer to this?
Answer:
3 the answer is 3
Step-by-step explanation:
help with these equations please!
please helppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I have a math question I need help answering.
determine the account balance at 2 years if $20,000 was invested in an account that conference annually at 4.5 % per year. Round to the nearest cent.
Write an equation that represents the transformations formed by the following items:
(a) horizontally shifting the graph 4 units to the left of f(x) = √x and then vertically compression by a factor of 1/3
(b) vertically stretching the graph by a factor of 4 of f(x) = √x and then vertically shifting the graph 3 units up
(c) horizontally stretching the graph of f(x) = √x by a factor of 2 and then vertically shifting the graph 6 units down
Answer:
a) [tex]f(x) = \frac{1}{3} \sqrt{x+4}[/tex]
b) [tex]f(x)=4\sqrt{x} + 3[/tex]
c) [tex]f(x) = 2\sqrt{x} -6[/tex]
Step-by-step explanation:
a) The function will be;
⇒ f (x) = 1/3 √(x + 4)
b) The function will be;
⇒ f (x) = 4√x + 3
c) The function will be;
⇒ f (x) = 2√x - 6
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
There are some transformations are given.
Now,
For (a);
The function is horizontally shifting the graph 4 units to the left of
f(x) = √x.
So, The function become;
f (x) = √(x + 4)
And, Then vertically compression by a factor of 1/3.
So, The function become;
f (x) = 1/3 √(x + 4)
For b:
The function is vertically stretching the graph by a factor of 4 of f(x) = √x.
So, The function become;
f (x) = √x + 3
And, Then vertically shifting the graph 3 units up.
So, The function will be;
⇒ f (x) = 4√x + 3
For c;
The function is horizontally stretching the graph of f(x) = √x by a factor of 2.
So, The function become;
f (x) = 2√x
And, Then vertically shifting the graph 6 units down.
So, The function will be;
⇒ f (x) = 2√x - 6
Thus,
a) The function will be;
⇒ f (x) = 1/3 √(x + 4)
b) The function will be;
⇒ f (x) = 4√x + 3
c) The function will be;
⇒ f (x) = 2√x - 6
Learn more about the translation visit:
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