Answer:
(D)[tex]x=104^{\circ}[/tex]
Step-by-step explanation:
Given: It is given that circle O is circumscribed about quadrilateral ABCD such that ∠ABC=91° and ∠ADC=x-15°.
To find: the value of x.
Solution: It is given that circle O is circumscribed about quadrilateral ABCD such that ∠ABC=91° and ∠ADC=x-15°.
We know that the sum of opposite angles of the cyclic quadrilateral is 180°, therefore
[tex]{\angle}ABC+{\angle}ADC=180^{\circ}[/tex]
Substituting the given values, we have
[tex]91^{\circ}+x-15^{\circ}=180^{\circ}[/tex]
[tex]x+76^{\circ}=180^{\circ}[/tex]
[tex]x=104^{\circ}[/tex]
thus, the value of x is [tex]104^{\circ}[/tex].
Hence, option D is correct.
Answer:
the answer is 104 i just took quiz 6.11.3
Step-by-step explanation:
What is the monthly payment of a financed amount of $14,452 with an APR of 8.9 percent? The term is for 5 years and the monthly payment per $100 is $2.41. $332.80 $348.29 $100.00 $241.00
Answer:
$348.29
Step-by-step explanation:
The payment is calculated by multiplying the rate per hundred times the number of hundreds. The latter is found by dividing the loan amount by $100.
$2.41 × $14,452/$100 ≈ $348.29
Answer:$299.16
Step-by-step explanation:
Financed amount = $14452
APR = 8.9%
Period / time = 5 years
monthly payment = $100 for every $2.07
To calculate the monthly payment of a financed amount we multiply the financed amount by the ratio of the given amount paid per $100
The monthly payment would be = 14452 * 2.07/100 = 14452 * 0.0207
= $299.16 approximately
therefore the monthly payment of a financed amount of $14452 is equal to $299.16
Alexandria, a car dealer, earns 40% commission of her luxury vehicles sales. Last year, her sales were $480,000. What was the total dollar amount of her commission last year?
Answer:
192,000
Step-by-step explanation:
480,000x.40 = 192,000 commission.
Answer:
480000 * 0.40 = $192,000
The total dollar amount of her commission last year is $192,000
Step-by-step explanation:
A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is shown in the following table:
Product Function Year 1
(dollars) Year 2
(dollars) Year 3
(dollars)
Product 1 f(x) = 4x + 8 12 16 20
Product 2 g(x) = 2^x 2 4 8
Product 3 h(x) = x^2 + 12 13 16 21
Product 4 j(x) = x^3 1 8 27
Based on the data in the table, for which product does the price eventually exceed all others?
Product 1
Product 2
Product 3
Product 4
It’s product two right???
Product 4 after the third year is 27 which is higher than the rest after 3 years.
And because x is raised to the third, the amount would Increase by being raised to the 3rd every year.
The answer is Product 4.
Expand logb square root of 41/97
Answer:
A
Step-by-step explanation:
logb √(41/97)
Square root can be written in exponent form:
logb (41/97)^½
Using log exponent rule:
½ logb (41/97)
Using log quotient rule:
½ (logb 41 - logb 97)
is it virtually impossible to completely avoid criticism
Well yes but this doesn't belong in math by the way.
What is the volume of a sphere whose radius is 6 ft
Answer:
Option C. [tex]288\pi\ ft^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a sphere is equal to
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
we have
[tex]r=6\ ft[/tex]
substitute
[tex]V=\frac{4}{3} \pi (6)^{3}[/tex]
[tex]V=288\pi\ ft^{3}[/tex]
The volume of the sphere with a radius of 6 ft is 904.78 ft³.
Explanation:The volume of a sphere can be calculated using the formula: V = (4/3)πR³. Given a radius of 6 ft, we can substitute this value into the formula to find the volume:
V = (4/3)π(6 ft)³
V = (4/3)π(216 ft³)
V = 904.78 ft³
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What is the probability of randomly selecting an odd number from the numbers 1-15
Answer:
7/15
Step-by-step explanation:
odd numbers are those that do not have divides ie1,2,3,5,7,11,13
The probability of randomly selecting an odd number from the numbers 1-15 is 8/15.
What is the probability?
Probability is used to know the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability that a randomly selected number would be odd = number of odd numbers / total numbers
Odd numbers between 1 and 15 = 1 , 3, 5, 7, 9, 11, 13, 15
Probability that a randomly selected number would be odd = 8/15
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On Friday 17.5 total gallons of water were used. on Saturday, 31.5 total gallons were used. On Saturday 24.75 total gallons were used. What is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water
Answer:
6.25 gal
Step-by-step explanation:
Least amount of water used: 17.5 gal
Greatest amount used: 24.75 gal
Difference: 24.75 gal - 17.5 gal = 6.25 gal
The thirstiest dishwasher used 6.25 gal more than the thriftiest dishwasher.
Answer:
0.75
Step-by-step explanation:
friday, it is 4, saturday is 3.5, sunday is 3.25. 4-3.25 is 0.75.
So far, Greg has driven 5.1 miles. He needs to drive a total of 25 miles. How many more miles must Greg drive?
Answer: 19.9
Step-by-step explanation:
25 - 5.1 = 19.9
Answer:
19.9
Step-by-step explanation:
25-5.1
= 19.9
To make sure:
19.9+5.1
=25
I hope this help you.
Write the rule for the translation
Answer:
(x, y)-->(x-7, y+4)
Step-by-step explanation:
To get from T to T', you have to move the image 7 units to the left of the preimage. From that point, you have to move up 4.
HELP DO NOT UNDERSTAND THIS QUESTION AT ALL THE BEST ONE WILL BE MARKED AS BRAINLIEST
Step-by-step answer:
A line with slope (or gradient) m, passing through a point (x0,y0) can be represented by the equation:
(y-y0) = m(x-x0) ......................(1)
Here,
(x0,y0) = (1,7), and
slope/gradient = -2
Substitute values into (1) above gives
(y-7)=2(x-1)
Expand and simplify
y-7 = 2x-2
y =2x -2 + 7
y=2x+5
is the final answer.
Nine lollies cost less than $10, while ten lollies cost more than $11 how much does each lollipop cost?
$21 it will cost for lollipop
Answer:
$1.10
Step-by-step explanation:
1.10 times 10
Suppose f(x)=x-4.
Find the graph for f(1/4x)
Answer:
#4
Step-by-step explanation:
Graph #4 is the correct one. Multiplying x by 1/4 widens the original graph by a factor of 4. That "-4" shifts the graph 4 units to the right.
Find the product. 3 y2z (2 y2z + 4 yz - y + z )
A. 4 y6z2 + 13 y3z12 - 3 y2z2 - 3 yz
B. 6 y4z2 + 12 y3z2 - 3 y3z + 3 y2z2
C. 6 y2z4 - 12 y2z3 + 3 yz3 - 3 y2z2
D. 3 y4z2 + 3 y3z2 - 6 y3z - 4
Answer:
I believe B. is the correct answer.
6y4z2 + 12y3z2 - 3y3z + 3y2z2
Step-by-step explanation:
Answer:
the answer is 6y4z2 + 12y3z2 - 3y3z + 3y2z2
Step-by-step explanation:
Joanne divided 14 of a pastry into 3 equal pieces. Which fraction of the original pastry represents each of the 3 pieces Joanne cut?
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Note Is a 1/4 of a pastry instead of 14 of a pastry
we know that
To find the fraction of the original pastry that represents each of the 3 pieces cut by Joanne, divide 1/4 by 3
so
[tex](1/4)/3=\frac{1}{12}[/tex]
Answer:
1/12
Step-by-step explanation:
Analiza la sigientes preguntas y subraya la respuesta correcta segun corresponda a al resolver el sistema
Como? No entiendo perdón
PLEASE HELP ASAP 50 Pts + BRAINLIEST TO RIGHT/BEST ANSWER
Answer:
[tex]f(x)=(x+2)(x-5)(x-6)[/tex]
Step-by-step explanation:
we know that
If the zeros of the function are
x=-2, x=5 and x=6
then
The factors are
(x+2), (x-5) and (x-6)
therefore
The polynomial function in factored form is equal to
[tex]f(x)=(x+2)(x-5)(x-6)[/tex]
sketch the graph of y = sin(x) over the interval [-π /2 , π /2 ]
Is it just the regular graph within those numbers?
Correct. It is only interested in the portion of the graph confined to this interval
prove that 5^31–5^29 is divisible by 100.
5^31-5^29
=5^29(5^2-1)
=5^29(25-1)
=5^29(24) ...a
100=5^2x4 ...b
Divide a by b
5^29(24) / 5^2 x 4
=5^27 x 6
This, 5^31-5^29 is divisible by 100.
Match the type of graph with its description.
1. bar graph
2. line graph
3. scatter plot
4. histogram
5. box-and-whisker plot
a. Compares data that is in categories.
b. Used to see trends in data.
c. Organizes data into 4 groups of equal size, and is often used to compare two sets of data.
d. Shows change over time.
e. Shows frequency of data, using equal intervals with no space between the bars.
1. bar graph - Compares data that is in categories.
2. line graph - Shows change over time.
3. scatter plot - Used to see trends in data.
4. histogram - Shows frequency of data, using equal intervals with no space between the bars.
5. box-and-whisker plot - Organizes data into 4 groups of equal size, and is often used to compare two sets of data.
School is almost over, good luck!!
Two trains leave stations 494 miles apart at the same time and travel toward each other. One train travels at 100 miles per hour while the other travels at 90
miles per hour. How long will it take for the two trains to meet? do not do any rounding.
Answer:
The trains will meet after 2.6 hours.
Step-by-step explanation:
Add up the distances traveled by the two trains:
distance1 = (100 mph)(t hours)
distance2 = (90 mph)(t hours)
Sum of distance1 and distance2 = 494 miles = (190 mph)(t hours)
Solving for t, we get t = 494 miles / 190 mph = 2.6 hours
The trains will meet after 2.6 hours.
It will take 2.60 hours for the two trains to meet.
Explanation:To find out how long it will take for the two trains to meet, we can use the formula: time = distance / speed.
Since the trains are traveling towards each other, we can add their speeds together to get the effective speed: 100 mph + 90 mph = 190 mph.
Now we can plug in the values: time = 494 miles / 190 mph = 2.60 hours.
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Vector u has a magnitude of 5 units and a direction angle of 30°. Vector v has a magnitude of 7 units and a direction angle of 120°. What is the direction angle of their vector sum?
A. 82.21°
B. 84.46°
C. 85.11°
D. 86.13°
Answer:
B. 84.46°
Step-by-step explanation:
Since the vectors are at right angles to one another, even a crude diagram will quickly show you that the direction of the sum is ...
30° + arctan(7/5) ≈ 84.4623° ≈ 84.46°
What is the constant of proportionality in a question like "The cost of 3 pounds is 6.75. What is the Constant of proportionality that relates the cost of dollars,y, to the number of pounds of grapes,x? (Grade 7)
Answer:
Step-by-step explanation:
The constant of proportionality is simply the ratio expressed as a decimal.
So in the example, the constant of proportionality is 6.75 $ / 3 lb = 2.25 $/lb.
What is the value of x?
sin49° = cosx
Enter your answer in the box.
x = ? °
Answer:
x =41°Step-by-step explanation:
⇒ sin (49°) = cos (90° - 49°) = cos (41°)
Sinus is a periodic trigonometric function, defined in the context of a right triangle as the ratio of the opposite leg to the hypotenuse.
Cosinus is a periodic trigonometric function, defined in the context of a right triangle as the ratio of the adjacent leg to the hypotenuse.
Final answer:
To find the value of x where sin49° equals cosx, we utilize the identity sin(90° - x) = cos x, which yields the answer x equals 41°.
Explanation:
To find the value of x where sin49° = cosx, we use the trigonometric identity sin(90° - x) = cos x. Since sin49° is given, we can set up our equation as:
sin(90° - x) = sin49°.
This reveals that 90° - x = 49°
Solving for x, we get:
x = 90° - 49°
x = 41°
Therefore, the value of x is 41°.
A sphere has radius of 42 m. If the radius is divided by 6, what is the effect on the surface area? HELP ASAP!
The surface area is multiplied by 6.
The surface area is multiplied by 36.
The surface area is divided by 36.
The surface area is divided by 6.
A sphere with radius [tex]r[/tex] has surface area [tex]4\pi r^2[/tex]. Divide the radius by 6 and you get a surface area of [tex]4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2[/tex], so that the final surface area is divided by 36.
E is 3 more than D
F is 5 less than D
A). Write an expression for “e” in terms of “d.
B). Write an expression for “f” in terms of “d.
C). Work out E-F and symplify your answer.
Part A:
We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D
Therefore:
E = D + 3
Part B:
We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D
Therefore:
F = D - 5
Part C:
To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A
Therefore:
E - F = (D+3) - (D-5)
E - F = D + 3 - D + 5
E - F = 8
Hope this helps :)
The expression for 'e' in terms of 'd' is e = d + 3. The expression for 'f' in terms of 'd' is f = d - 5. The difference between 'E' and 'F' is 8.
Explanation:A) e = d + 3
To express 'e' in terms of 'd,' we can simply say that 'e' is equal to 'd' plus 3. This is because the question states that 'E is 3 more than D.'
B) f = d - 5
To express 'f' in terms of 'd,' we can say that 'f' is equal to 'd' minus 5. The question states that 'F is 5 less than D.'
C) E - F = (d + 3) - (d - 5) = d + 3 - d + 5 = 8
To find the difference between 'E' and 'F,' we can substitute the expressions we found for 'e' and 'f' into the equation. Simplifying the expression further, we have 'E - F = (d + 3) - (d - 5) = d + 3 - d + 5 = 8.'
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Identify m∠EOF. HELP PLEASE!! I don't understand!
Answer: 119°
Step-by-step explanation:
A circle equals 360° degress. If you subtract the two angles shown in the picture you'll get 238°.
Now vertical angles are congurent thus if we divide 238 into 2 we get 119°.
Answer:
it's 119
step explanation:
i guessed and got it rt, lol.
NEED HELP ASAP ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
what is the value of x assume that the line is tangent to the circle
Answer:
70
Step-by-step explanation:
An angle on the circle is half of the intercepted arc. Since the circle is 360, you can subtract 220 from 360 and find the intercepted arc which is 140. Divide that by 2 and you get 70.
Three Friends are starting a food truck and a contributing a total of 140,000 to begin operations. Their investments are in the ratio of 2:5:7. What is the difference in investment betweenThe smallest investor and the largest Al smallest investor and the largest inverstor
Answer:
Step-by-step explanation:
The sum of those numbers is 14. Let's divide 14000 by 14 to get the number of parts (each part will be an investment in dollars) and we get 10,000. So if a person invests 2 parts, he invests 2(10,000). A person that invests 5 parts invests 5(10,000), and likewise for the person investing 7 parts: 7(10,000). That gives us 20,000 + 50,000 + 70,000 = ?
(140,000)
The difference in investment between the largest and the smallest is 50,000
Final answer:
To find out the investments of three friends in a ratio of 2:5:7, one part is calculated as $10,000. The smallest investor contributes $20,000 and the largest investor contributes $70,000. Hence, the difference in their investments is $50,000.
Explanation:
The question is asking to determine the individual investments of three friends in a food truck business based on their total contributions amounting to $140,000 and the ratio of their investments being 2:5:7. First, we find the total number of parts in the ratio (2+5+7=14 parts). To find the value of one part, we divide the total investment by the number of parts ($140,000 \/ 14 = $10,000 per part).
Now, we can calculate each friend's investment:
The difference in investment between the smallest and the largest investor is $70,000 - $20,000 = $50,000.
Power set: let B=(0), then p(b)=?
If [tex]B=\{0\}[/tex] then [tex]p(B)=\{0\}^{B[0]}=\boxed{1}[/tex].
Hope this helps.