Answer:
x = 25
Step-by-step explanation:
Solving
∠CAD = 1/2 ∡ CD180° - 90° - (2x)° = 1/2 (80°)2x = 90° - 40° = 50°x = 25Ivan bought a suit on sale for $152. This price was 60% less than the original price.
What was the original price?
Work Shown:
x = original price in dollars
x - 60% of x = x - 0.60x = 0.40x = sale price in dollars
0.40x = 152
x = 152/0.40
x = 380
If you use mobile payment and lose your phone, you should NOT:
OA. Cancel your card.
OB. Get a new phone and keep using the same card in the app.
OC. Remotely lock your device.
OD. If possible, clear the data off of your device.
Reason:
Yes you should get a new phone, but you should not keep using the same card. Whoever has your phone (assuming anyone found it or stole it) may be able to gain access to the phone, and use the card fraudulently. You should call the credit card company and cancel that card, and get a new card. This is why choice A is eliminated. Choices C and D are eliminated as well so that you protect your privacy from any potential thieves.
1.1 Penny specializes in making tablecloths. She buys fabric in rolls. The length of each roll is 100 and the standard width is 1 m. She cuts the roll into pieces of 1,5 m in length and then puts binding material at the edge of each tablecloth. A packet of binding material contains 24 pieces, each 5 cm long. Each tablecloth has 8 circular designs. Each circular design prece has a diameter of 14 cm
1.2.1 Determine the perimeter of one tablecloth
1.2.2 How many pieces of binding material required for 1 roll of fabric?
1.2.4 Calculate the area of the tablecloth that is not covered with the circular designs.
Area of a circle =
HELP PLEASEEE ASAPPPPPPPP
Pls, look at the picture for the question.
Answer:
B
Step-by-step explanation:
surface area = area of base + area of lateral faces
Area of base:
A = lw
A = 4(4)
A = 16
Area of Lateral faces:
A = 1/2 bh
A = 1/2(5)(4)
A = 1/2(20)
A = 10
There are for lateral faces.
s = 16 + 10 + 10 + 10 + 10
help me plsssssssssssssssssssss
Answer:
can i please have somepoints
Step-by-step explanation:
i need to get an answer to a question and if i don't i might fail a really hard test
Answer:
19/29 probability of bieng an only child
Step-by-step explanation:
Find the volume of a sphere with a surface area of 23041 in2.
Answer:V≈3.29×105in³
Step-by-step explanation:im smart
Help me answer this question :((((
Answer:
97.5
Step-by-step explanation:
75,85,90,105,120,150
90 and 105 are the middle, and median means the middle, but you can only have one answer.
90+105=195
195÷2=97.5
97.5 is the middle of all these numbers
find the local maximum and minimum values using the Second Derivative Test.
Answer:
Find the first and second derivatives:
[tex]\begin{aligned}f(x) & =-x-\dfrac{9}{x}\\& =-x-9x^{-1}\\\\\implies f'(x) & =-1-(-1)9x^{(-1-1)}\\ & =-1+9x^{-2}\\ & = -1+\dfrac{9}{x^2}\\\\\implies f''(x) & = 0+(-2)9x^{(-2-1)}\\& = -18x^{-3}\\& = -\dfrac{18}{x^3}\end{aligned}[/tex]
To find the stationary points (local minimum and maximum) set the first derivative to zero and solve for x:
[tex]\begin{aligned}f'(x) & = 0 \\\\\implies -1+\dfrac{9}{x^2} & = 0 \\\\\dfrac{9}{x^2} & = 1 \\\\9 & =x^2\\\\\implies x & = \pm 3\end{aligned}[/tex]
To determine the type of stationary points, input the found values of x into the second derivative.
[tex]f''(3)=-\dfrac{18}{3^3}=-\dfrac{2}{3} < 0 \implies \textsf{maximum}[/tex]
[tex]f''(-3)=-\dfrac{18}{(-3)^3}=\dfrac{2}{3} > 0 \implies \textsf{minimum}[/tex]
Finally, to find the y-values of the stationary points, input the found values of x into the original function:
[tex]f(3)=-3-\dfrac{9}{3}=-6 \implies (3,-6)[/tex]
[tex]f(-3)=-(-3)-\dfrac{9}{-3}=6 \implies (-3,6)[/tex]
Therefore:
[tex]\large \begin{array}{ r | r | c | c }\textsf{At} \: x= & \textsf{and} \: y= & \textsf{sign of} \: f''(x) & \textsf{conclusion}\\ \cline{1-4} -3 & 6 & + & \textsf{minimum} \\ \cline{1-4} 3 & -6 & - & \textsf{maximum}\end{array}[/tex]
11.4 Conversions of Polar and Rectangular Coordinates
What are the approximate coordinates in the rectangular plane that represent the polar coordinates (6,- pi/6)
? Round values to the nearest thousandth.
Answer: A - (5.196, -3)
Step-by-step explanation: correct on ed
5b) Find the surface area of the triangular prism. Round your answer to two decimal places.
Answer:
693.19 m^2.
Step-by-step explanation:
This consists of 2 triangles and 3 rectangles,
Surface area = 2 * 1/2 * 3 * 9 + 9*31 + 3*31 + 9.49*31
= 27 + 279 + 93 + 294.19
= 693.19 m^2
If f is translated 4 units down to create g, which function represents g? A. g(x) = f(x) + 4 B. g(x) = f(x) - 4
Answer:
g(x) = f(x) - 4.
Step-by-step explanation:
4 down = -4
g(x) = f(x) - 4.
In Detroit the high temperatures in degrees Fahrenheit for
five days in January were -12°, -8°, -3°, 6°, -15°. What was the
average temperature for these five days?
Answer:
-6.4 degrees.
Step-by-step explanation:
The average temperature
= (-12 -8 -3 + 6 - 15) / 5
= -32/5
= -6.4 degrees.
y = 3
3y + 78 + 6y + 13
Step-by-step explanation:
the thing you need to do here is put the value of x and just simply the expression.....
= 3y + 78 + 6y + 13
= 3 × 3 + 78 + 6 × 3 + 13
= 9 + 78 + 18 + 13
= 118
[tex]....[/tex]
Answer:
3×3+78+6×3÷13
9+78+18÷13
88.38
Step-by-step explanation:
i m not sure if it's correct since i didn't follow tye bodmas rule properly and it was bit tricky and it comes in decimal so not sure if it's correct
Rick recorded the information shown below. What type of graph would be the most appropriate for Rick to use
A Line graph
Sure hope this helps you
4) The lower cable meets the tree at a height of 12 feet and extends out 32 feet from the base of the tree. If the tria
similar, how tall is the tree?
56 ft
The tree is ft tall.
Question 4
-. The side views of two different ramps are shown below. Which is a true
tatement about the slope of the ramps?
The statement that is true about the slope of the ramps is: A. Slope of ramp A = slope of ramp B.
What is the Slope?Slope = gradient = rise / run = vertical distance / horizontal distance.
Slope of the side view of ramp A = rise / run = 20 / 30 = 2/3.
Slope of the side view of ramp B = rise / run = 14 / 21 = 2/3.
The slope of A = slope of B = 2/3
The statement that is true of the slopes of both ramps is therefore: A. Slope of ramp A = slope of ramp B.
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Please help and thank you.
X=[?]
x = 6
Step-by-step explanation:Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.
Setting Up the Equation
As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.
AB = ACNow, we can substitute the expressions in the equation.
22x - 33 = 7x +57Solving the Equation
After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.
First, rewrite the equation
22x - 33 = 7x +57Next, add 33 to both sides
22x = 7x + 90Then, subtract 7x from both sides
15x = 90Finally, divide both sides 15
x = 6This gives us our final answer of 6.
Checking the Answer
If you wanted to, you can check your answer by plugging 6 into the original equation.
22(6) - 33 = 7(6) + 57Then solve the equation
99 = 99Since both sides are equal, the answer must be correct.
josiah is running a marathon which is 26 1/5 miles Long. At four 1/4 miles from the start, he meets his wife, who is cheering him on. 7 1/2 miles further down the marathon course, he sees some Friends from his running club volunteering at a water stop. Once he passes his friends, how many more miles does Josiah have left to run?
Once he passes his friends, The miles Josiah has left to run would be 10.95 miles.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Josiah is running a marathon which is 26 1/5 miles long.
At four 1/4 miles from the start, he meets his wife, who is cheering him on.
7 1/2 miles further down the marathon course.
26 1/5 = 131/ 5
7 1/2 = 15/2
The marathon run by Josiah
= 1/4 + 15/2
= 15.25
The miles Josiah has left to run
= 131/ 5 - 15.25
= 10.95
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Which expression is equivalent to 6^4 • 6^3?
(6•6•6•6)+(6•6•6)
(6+6+6+6)•(6+6+6)
(6•6•6•6)•(6•6•6)
(6•6•6•6•6)•(6•6•6•6)
Answer: C)
Step-by-step explanation:
3 1/3 divided by 1 1/5
Answer:
Step-by-step explanation:
3 1/3 is 10/3. 1 1/5 is 6/5. KCF, Keep Change Flip.
10/3 divided by 6/5 becomes 10/3 multiplied by 5/6, or 50/18.
50/18 becomes 25/9, or 2 7/9.
Tanner bought 6 chocolates. Maggie bought c times as many chocolates as Tanner. Write an expression that shows how many chocolates Maggie bought.
Answer:
The equation that we most use to find how many chocolates Maggie bought would be:
6 x c = how many chocolates Maggie bought
Maggie bought c times as many chocolates as Tanner. This means to find how many chocolates Maggie bought we would multiply the c (Being how many times more chocolates Maggie bought) by 6 to find the number of chocolates Maggie bought`.
For example:
If the question stated Maggie bought 4 times as many chocolates as Tanner, the equation would be; 6 x 4 = how many chocolates Maggie bought. Which would be 24 chocolates.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was 516 with a margin of error of 20. Write a confidence interval for the true mean SAT score of the graduating high school seniors.
A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)
What is a confidence interval?A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.
Mean score ± margin of error
Margin of Error = 20
Mean SAT score = 516
Hence,the confidence interval will be:-
= 516 ± 20
Lower boundary = 516 - 20 = 496
Upper boundary = 516 + 20 = 536
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Two angles are complementary. One angle is labeled (2p + 9). The other angle is
labeled 4pº. Find the value of p.
A p = 2.5
B p = 4.5
Cp = 13.5
D p = 28.5
Answer:
p=13.5
Step-by-step explanation:
know: complementary angles add to 90
(2p+9) +4p =90
6p +9 =90
6p= 81
p= 81/6 = 13.5
Three trends each have a balance of $5,000 on their credit cards with a 25%APR. They've
decided that they will not make any other purchases on the cards until they pay of the debt
and make varying amounts of monthly paymentes
• Sharon can only make the credit card minimum payment, $150 per month
• Ceollia can set aside $400 per month to pay back her dett
• Alexander can pay $800 per month for his credit card
After 5 months, how much will each person have paid in interest so far and how large will
their remaining balance be? Use the formulas below to calculate their interest and balance
for each month
Hint Credit card interest is typically compounded daily so n=365Time here is in years, so
make sure you use a fraction for your t value. Need to show monthly interest and balance paid monthly for first 5 months on each person.
here i hope this exaple helps but for the time being while i solve it heres this example
if you currently owe $500 on your credit card throughout the month and your current APR is 17.99%, you can calculate your monthly interest rate by dividing the 17.99% by 12, which is approximately 1.49%. Then multiply $500 x 0.0149 for an amount of $7.45 each month.
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
None of the others are vertical angles
a is supplementary angles
b is supplementary angles
d is alternate interior angles
3 What is the solution to ža>-16? o a O a>-21 a 21 O a
Answer: The answer is the first option: [tex]a > -21\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] × [tex]a > -16[/tex]
[tex]\frac{3}{4}a\cdot \frac{4}{3} > -16\cdot \frac{4}{3}[/tex]
[tex]\frac{3}{4}\cdot \frac{4}{3}a > -16\cdot \frac{4}{3}[/tex]
[tex]a > -16\cdot \frac{4}{3}[/tex]
[tex]a > \frac{-16\cdot 4}{3}[/tex]
[tex]a > \frac{-64}{3}[/tex]
On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park
and then 2.51 miles to the library. On Sunday, Finley rode the bus 2.12 miles to thi
art museum. What is the total number of miles Finley rode the bus on Saturday
and Sunday?
The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles
Calculating distanceFrom the question, we are to determine the total distance travelled by Finley on Saturday and Sunday
From the given information,
On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library
Total distance travelled on Saturday = 3.35 miles + 2.51 miles
Total distance travelled on Saturday = 5.86 miles
Also,
On Sunday, Finley rode the bus 2.12 miles to the art museum
Total distance travelled on Sunday = 2.12 miles
∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles
Total distance travelled on Saturday and Sunday = 7.98 miles
Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.
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11 BAP-Z
Question
Find the volume of the solid figure.
1 cm
3 cm
6 cm
2 cm
3 cm
8 cm
9 cm
Answer:
168 [tex]cm^{3}[/tex]
Step-by-step explanation:
Start by finding the whole prism's volume. 9 x 3 x 8 = 216 Then find the volume of the missing part. 8 x 6 x 1 = 48. Subtract the missing volume from the whole volume. 216 - 48 = 168
Find the sum of the first 14 terms of the finite geometric series given as:
0.5+ (-1) +2+...
The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5
How to determine the sum of the series?The series is given as:
0.5+ (-1) +2+...
The above series is a geometric series, with the following parameters:
First term, a = 0.5Common ratio, r = -2Number of terms, n = 14The sum of the first 14 terms is calculated using:
[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]
So, we have:
[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]
Evaluate
[tex]S_{14}= -2730.5[/tex]
Hence, the sum of the series is -2730.5
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