A figure is shown.
8x
7x
44.4°
What is the measure, in degrees, of the highlighted angle?
Answers
We know that the sum of a straight line is 180° . So here there are 3 angles in a straight line . And the sum is 180° . So that ,
[tex]\tt\to Sum_{(angles \ of \ a \ straight \ line)}= 180^o \\\\\tt \to 7x + 8x + 44.4^o = 180^o \\\\\tt\to 15x = 180^o - 44.4^o \\\\\tt\to 15x = 135.6^o \\\\\tt\to x =\dfrac{135.6^o}{15}\\\\\tt\to \boxed{\orange{\tt x = 9.04^{\circ} \approx 9^{\circ} }}[/tex]
So the measure of angle that is highlighted will be 8x = 8(9) = 72°
Answer:
72.32degrees
x is 9.04
Step-by-step explanation:
7×9.04=63.28
8×9.04=72.32
44.4+63.28+72.32=180
Related Questions
CAN SOMEONE PLEASE HELP ME
Answers
Answer:
isosceles
Step-by-step explanation:
What is the slope of the line tangent to the curve square root (x) +square root (y) = 2 at the point ( 9/4, 1/4 )? (photo attached of answer choices)
Answers
Answer:
B. [tex]\displaystyle -\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
The definition of a derivative is the slope of the tangent line
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Implicit Differentiation
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \sqrt{x} + \sqrt{y} = 2[/tex]
[tex]\displaystyle (\frac{9}{4}, \frac{1}{4})[/tex]
Step 2: Differentiate
Implicit Differentiation
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle x^{\frac{1}{2}} + y^{\frac{1}{2}} = 2[/tex][Function] Basic Power Rule: [tex]\displaystyle \frac{1}{2}x^{\frac{1}{2} - 1} + \frac{1}{2}y^{\frac{1}{2} - 1}\frac{dy}{dx} = 0[/tex][Derivative] Simplify: [tex]\displaystyle \frac{1}{2}x^{\frac{-1}{2}} + \frac{1}{2}y^{\frac{-1}{2}}\frac{dy}{dx} = 0[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle \frac{1}{2x^{\frac{1}{2}}} + \frac{1}{2y^{\frac{1}{2}}}\frac{dy}{dx} = 0[/tex][Derivative] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] term [Subtraction Property of Equality]: [tex]\displaystyle \frac{1}{2y^{\frac{1}{2}}}\frac{dy}{dx} = -\frac{1}{2x^{\frac{1}{2}}}[/tex][Derivative] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] [Multiplication Property of Equality]: [tex]\displaystyle \frac{dy}{dx} = -\frac{2y^{\frac{1}{2}}}{2x^{\frac{1}{2}}}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = -\frac{y^{\frac{1}{2}}}{x^{\frac{1}{2}}}[/tex]Step 3: Evaluate
Find slope of tangent line
Substitute in point [Derivative]: [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{(\frac{1}{4})^{\frac{1}{2}}}{(\frac{9}{4})^{\frac{1}{2}}}[/tex][Slope] Exponents: [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{\frac{1}{2}}{\frac{3}{2}}[/tex][Slope] Simplify: [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{1}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentiation - Implicit Differentiation
Book: College Calculus 10e
Charlie made hamburgers
for his family and they
each had a diameter of 7
cm. If he made 12
hamburgers. What is the
total area for all 12?
Answers
Answer:
461.58
Step-by-step explanation:
How much is 1/3 cup of butter equivalent measurement?
Answers
Answer: equal 5 tablespoons plus 1 teaspoon butter.
Step-by-step explanation:
Answer:
1/3 cup would equal 5 tablespoons plus 1 teaspoon butter
Step-by-step explanation:
i Hope this was the answer you was looking for. If not just go to one of my questions and take the points that you need to gain back!!!
- If A = 2x + 4 and B = 5x – 10 what is the value of
B-A?
Answers
Answer:
3x - 14Step-by-step explanation:
5x-10 - (2x+4)
= 5x - 10 -2x - 4
=3x-14Allison and Sean were splitting nachos. If Allison ate 5/12 of the nachos and Sean ate 1/5 of the nachos, what fraction of the nachos did they eat together?
Answers
Answer:
thank for points
Step-by-step explanation:
Answer:
37/60
Step-by-step explanation:
Because 5/12+1/5=37/60
pls help me i’ll give u brainlest if correct
Answers
Answer:
0%
Step-by-step explanation:
there is only one card with a 6; if you select the 6 card and do not replace it there is zero possibility of selecting another 6 card
A number between 0 and 1, expressed as one number over another, is called a
Answers
Answer:
its called a frcaction
Step-by-step explanation:
#carryonlearning
what is photosynthesis
Answers
Answer:
writing m thoda problem h lakin samagh lena
Answer:
Photosynthesis is the process by which plants make there own food.
Step-by-step explanation:
Hope this will help you!
express -17/8 in decimal form
Answers
Answer:
-2.125
Step-by-step explanation:
Find the surface area of the Triangular prism.
A = bh
A = 1/2(bh)
Answers
Answer:
Surface area of triangular prism =1/2(bh)
=1/2(3*4)
=6
Vertices A (-1,1) and Vertices B (-4,1) of Square ABCD are shown below. What is the perimeter?
Hint: find the Vertices C and D first, then find the perimeter. A square is the same length all around!
Answers
Answer:
12
Step-by-step explanation:
Distance from (-4,1)to (-1,1) =|-4|-|-1|=3
Side of square =3
Since each side of square is equal.
3x4=12
If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then perimeter of the square ABCD is 12 units.
What is Distance?The length along a line or line segment between two points on the line or line segment.
The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.
The coordinates of C are (-4, -2) since it is directly below B.
The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.
The coordinates of D are (-1, -2) since it is directly to the right of C.
Now we have the coordinates of all four vertices
A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).
To find the perimeter, we add up the lengths of all four sides:
AB = BC = CD = AD
= √[(xB - xA)² + (yB - yA)²]
= √[(-4 - (-1))² + (1 - 1)²]
= 3
So the perimeter is P = AB + BC + CD + AD
= 3 + 3 + 5 + 3
= 14
Therefore, the perimeter of the square ABCD is 12 units.
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ3
URGENT HELP NEEDED ASAP
PHOTO ATTACHED
CALCULUS
Answers
Answer:
Option A
Step-by-step explanation:
From the piecewise function given in the picture,
f(x) = k³ + x If x < 3
= [tex]\frac{16}{k^2-x}[/tex] If x ≥ 3
Here, function is discontinuous at x = 3
If the function is continuous at x = 3 then,
k³ + 3 = [tex]\frac{16}{k^2-3}[/tex]
(k³ + 3)(k² - 3) = 16
k⁵ - 3k³ + 3k² - 9 = 16
k⁵ - 3k³ +3k² - 25 = 0
By using a graphing tool we can get the point where k = 2.081.
Option A is the answer.
A square flower bed that is 7 feet long is surrounded by a square lawn that is 17 feet long. What is the area covered by the lawn?
Answers
Answer:
40
Step-by-step explanation:
7*4=28
17*4=68
68-28=40
Answer:
240 Sq Feet
Step-by-step explanation:
the flower bed is 7*7= so 49 Square Feet
The Lawn, including the garden is 17*17= 289 square feet
the lawn without the garden is 289-49= 240 sq feet
3 1/4 pints =____ fl oz?
Answers
Answer:
52
Step-by-step explanation:
Answer:52
Step-by-step explanation:
The state government claims that the average earnings for a high school student who works during the summer is $1,500. A survey of 200 local high school students determined that the average amount of money earned at a summer job in the area was $1,100 and a 90% confidence interval was found to be ($975, $1,225). The confidence level is interpreted to mean that:
Answers
Answer:
B. if we repeat our survey many times. then about 90% of our confidence intervals will contain the true amount earned at a summer job.
Step-by-step explanation:
Find the value of x.
6
14
3x-12
21
x = [?]
Answers
If you bought a lunch for $4.60 and the tax rate was 6%,
How much is the total owed?
Answers
Answer: It would be $4.88
Directions: Find the area of a circle with given radius. Round off your answer to the nearest hundredths.
1. r= 3.2 m
2. r = 17 mm
3. r = 36.5 mm
4. r = 83 cm
5. r = 5.8 m
A. Find the volume of the following:
Formula: V = e x e x e
6. e = 45.25 cm
7. e = 29 cm
Formula: V = L x W x H
8. l = 23 cm
w= 14 cm
h = 11 cm
9. l = 41 cm
w= 28 cm
h = 17 cm
10. l = 20 cm
w= 18 cm
h = 14 cm
Answers
Answer:
Part A:
1. 32.17
2. 907.92
3. 4185.39
4. 21642.43
5. 105.68
Part B:
6. 92652.203125 or 92652.20
(not sure if you wanted rounded or exact number)
7. 24389
Part C:
8. 3542
9. 22848
10. 5040
Step-by-step explanation:
Part A:
To find the area of the circle, use the following formula:π × r²"r" is the radius of the circle, or the distance between the center and the edge of the circle.Example:Radius - 10π × r²π × 10²π × 100≈314.16Part B:
To find the volume of a cube, multiply e × e × eExample:e = 5 cme × e × e5 × 5 × 5 = 125 cm³Part C:
To find the volume of a figure, multiply length × width × heightExample:L = 5cm, W = 2cm, H = 6cm5 × 2 × 6 = 60 cm³
Helpp click on picture
Answers
g(x) = 3x2 – 2x + 7 2x + 5 Find g(-1)
Answers
Answer:
2x+5= g(−1)=12
Step-by-step explanation:
Simplify is simple
What is the equation of the exponential function??
Anthony's mom bought a new Prius in 2018 that cost
$28,000. She looked up the current value and saw that
it was only $22,000 after two years! She is worried
about how much her car will be worth in 3 more years.
What is the exponential equation?
1
How much will the car be worth in 3 years?
Submit
Answers
Answer:
$19500Step-by-step explanation:
Let the depreciation rate is x per year, then we have:
28000*x² = 22000x² = 22000/28000x² = 0.7857x = √0.7857 x = 0.8864Exponential function for this case is:
V(t) = 28000*0.8864^t, where V(t) - future value, t- number of yearsValue of the car after 3 years:
V(3) = 28000*0.8864^3 V(3) = 19500What is the slope of the line?
Answers
Answer:
1
Step-by-step explanation:
a bottle of soft drinks costs $2. the commission paid on one bottle is 2% of the cost price.find the commission on 24 bottles of soft drinks
Answers
Answer:
$0.96
Step-by-step explanation:
First, find the cost of the 24 bottles, by multiplying 24 by 2
24(2)
= 48
Find the commission by finding 2% of 48
48(0.02)
= 0.96
So, the commission will be $0.96
The commission on 24 bottles of soft drinks is $0.96.
How to find the commission on 24 bottles of soft drinks?Given:
a bottle of soft drinks costs $2. the commission paid on one bottle stands at 2% of the cost price.
First, we want to estimate the cost of the 24 bottles, by multiplying 24
by 2
[tex]= 24*(2)[/tex]
= 48
To find the commission by estimating 2% of 48
commission = 48*(0.02)
commission = 0.96
So, the commission will be $0.96.
Therefore, the commission on 24 bottles of soft drinks is $0.96.
To learn more about algebra
https://brainly.com/question/17201233
#SPJ2
Find the 97th of the arithmetic sequence 25, 29, 33, ...
Answers
Answer:
If im not wrong is 409
Step-by-step explanation:
have a nice day :)
16. Under the Christmas tree at my house, there are five presents for my wife, three presents for me, and 8
presents for my son. (Hint: How many packages are under the tree in total?)
a) What percentage of the presents are for my wife?
b) What percent of the presents are for my son?
c) What percent of the presents are for me?
Answers
Answer:
a) 31.25%
b) 50%
c) 18.75%
The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of Honda Accords. Click on the datafile logo to reference the data. The estimated regression equation is Round your answers to the nearest dollar. a. Estimate the selling price of a four-year-old Honda Accord with mileage of miles.
Answers
Answer:
hello your question is incomplete below is the complete question
The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of 33 Honda Accords. Click on the datafile logo to reference the data. The estimated regression equation is Selling price = 20385.25049 - 0.03739 Mileage - 686.33668 age. Round your answers to the nearest dollar. a. Estimate the selling price of a four-year-old Honda Accord with mileage of 40,000 miles.
answer : ≈ $16144
Step-by-step explanation:
Determine the selling price of a four-year-old Honda Accord with mileage of 40,000 miles.
Given data :
Age= 4 year, Mileage=40,000 miles
Hence the selling price
= 20385.25049 - 0.03739 Mileage - 686.33668 age
= 20385.25049 - 0.03739(40,000) - 686.33668 ( 4 )
= $16144.32
It takes 3 hour 15 minutes to fly from city a to city b at constant speed. Find how long the journey takes if
A) the speed is 1×1÷2 times of the original speed and
B) if the speed is three-quarters of the original speed.
Answers
Answer:
a) t= 2hours and 10 minutes
b) t=4hours and 20 minutes
v1t1=v2t2
Answer:
Step-by-step explanation:
rate = distance / time distance is constant (a-b) so call it D
time = distance / rate rate = speed (ie miles per hour = mph)
time = distance / speed
A) if the new speed is 1.5 of the original speed
original time = 3.25 hours or 195 minutes
3.25 = D / 1 new time = D/1.5 find new time
3.25 is to D as new time is to D/1.5
3.25/D = new time / D/1.5 multiple D/1.5 on both sides
(3.25/D) ( D/1.5) = new time the distance D cancels
3.25 (D / D) / 1.5 = new time
3.25 / 1.5 = 2.167 hours or 2 hours and 10 minutes
B) if the speed is 3/4 the original speed
original time = 3.25 hours or 195 minutes
3.25 = D / 1 new time = D/(3/4) find new time
3.25 is to D as new time is to D/0.75
3.25/D = new time / D/0.75 multiple D/0.75 on both sides
(3.25/D) ( D/0.75) = new time
3.25 (D / D) / 0.75 = new time
3.25 / 0.75 = 4.333 hours or 4 hours and 20 minutes
Find the slope of a line that contains the two points 0, 1 and 1, 3
Answers
Answer:
The slope is 2.
Step-by-step explanation:
Use the slope formula:
m = y2 - y1 / x2 - x1
Plug in the numbers from the ordered pairs:
m = 3 - 1 / 1 - 0
m = 2/1
Simplify:
m = 2
Matthew rakes leaves to earn money. The points in this graph represent the total amount of money Matthew earns based on the number of hours he rakes leaves. Matthew wants to purchase sneakers that costs $48. How many hours does Matthew need to rake leaves to earn enough money to buy the sneakers?\
Answers
Answer:
it will take him 6 hours to earn enough money to buy the sneakers
Step-by-step explanation:
I took the test
Answer:
The answer should be 6
Step-by-step explanation:
I took the test too
