Answers
Answer:
Measure of angle x = 74
Measure of angle y = 90
Step-by-step explanation:
The required measure of angle x in the triangle inscribed in the circle is 74°.
Following the given, there is a property of a circle that states that, the angle subtended through the endpoints of the longest chore of the circle(i.e. diameter) on the circumference of a circle is always 90°.
So, y = 90°
Now,
The measure of angle x is given as:
[tex]x + 90 + (180-148)/2 = 180[/tex]
x = 74
Thus, the requried measure of angle x in the triangle inscribed in the circle is 74°.
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Related Questions
A Ferris wheel can accommodate 75 people in 25 minutes. How many people could ride the Ferris wheel in 5 hours? What was that rate per hour?
Answers
Answer:
1 hour rate = 180 - 5 hour rate = 900
Step-by-step explanation:
To make the whole equation easy divide the number of people by the time.
75 / 25 = 3
Now the number of people can be adjusted to any amount of time.
For the hour rate multiply the number of people per minute by 60.
3 x 60 = 180
For the five hour rate use the same exact equation but multiply the 60 by 5 first.
3 ( 60 x 5 ) = 900
Hope this helped.
What are the zeros of this function?
A. x = 0 and x= 4. B. x= -6 and x= -4
c. x= 4 and x = 6
D. x= -6 and x = 5
Answers
Answer:
c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The graphs of f(x) = 10x and its translation, g(x), are shown.
What is the equation of g(x)?
g(x) = 10x – 3
g(x) = 10x + 3
g(x) = 10x – 3
g(x) = 10x + 3
Answers
Answer:
See attachment and explanation
Step-by-step explanation:
Assuming f(x) and its g(x) are the graphs shown in the attachment.
Then we have the base function to be
[tex]f(x) = {10}^{x} [/tex]
We can see from the graph that, f(x) has been shifted up 3 units to obtain g(x).
Hence the equation of g(x) is
[tex]g(x) = {10}^{x} + 3[/tex]
Answer:
g(x) = 10^x – 3 is the answer
\
Step-by-step explanation:
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
{x | x ≤ 2}
{x | -6 ≤ x ≤ 2}
{all reals}
Answers
Answer:
all work is pictured and shown
answer is b
Answer:
{x | x ≤ 2}
Step-by-step explanation:
Solve the linear inequality.
5x-3(x+1)<7
Answers
The solution to the inequality 5x-3(x+1)<7 is x<5.
Step-by-step explanation:
Given inequality is;
5x-3(x+1)<7
Solving the inequality
[tex]5x-3x-3<7[/tex]
Adding 3 on both sides both sides of inequality
[tex]5x-3x-3+3<7+3\\2x<10[/tex]
Dividing both sides of inequality by 2
[tex]\frac{2x}{2}<\frac{10}{2}\\\\x<5[/tex]
The solution to the inequality 5x-3(x+1)<7 is x<5.
Keywords: inequality, division
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Write the percent of free space on the computer as a decimal.
Volume Capacity Free Space % Free Space
(C:) 200 GB 150 GB 75%
Answers
Answer:
0.75
Step-by-step explanation:
Final answer:
To convert 75% to a decimal, divide 75 by 100 to get 0.75. This conversion is necessary to express the percent of free space on a computer in decimal form.
Explanation:
To convert the percent of free space on the computer to a decimal, you can follow these steps:
Take the percent value, which in this case is 75%.Write this percentage as a fraction with a denominator of 100, so 75% becomes ⅔.Divide the numerator by the denominator: 75 ÷ 100 = 0.75.The decimal equivalent of 75% is 0.75. This means that 75% of the computer's storage capacity is free space.
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket. Write and solve an equation to find how much money each boy had after buying his ticket
Answers
Answer:
The money each boy had after buying his ticket is $2.50.
Step-by-step explanation:
Given:
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.
Now, to find the money each boy had after buying his ticket.
Let the money each boy had after buying his ticket be [tex]x.[/tex]
Total number of boys = 4.
Total money they had = $40.
Money each boy spent = $7.50.
Now, to write an equation:
[tex]4(x+7.50)=40[/tex]
Now, to solve the equation for getting the money each boy had after buying his ticket:
[tex]4(x+7.50)=40[/tex]
[tex]4x+30=40[/tex]
Subtracting both sides by 30 we get:
[tex]4x=10[/tex]
Dividing both sides by 4 we get:
[tex]x=\$2.50.[/tex]
Therefore, the money each boy had after buying his ticket is $2.50.
What is 2 2/3 * 1/2 simplified
Answers
Answer:
4/3
Step-by-step explanation:
2 2/3=8/3
(8/3)(1/2)=8/6=4/3
:
The basketball team is ordering hats for its members. Each hat costs $8. The fee to ship any size order of hats is $6. Let h equal the number of hats ordered and c equal the total cost.
Answers
The equation that I think you are looking for is:
c = 8h + 6
Use the unit circle to find tan 60°
a.
c.
b.
3
Please select the best answer from the choices provided
Answers
The correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.
To find the value of [tex]$\tan 60^\circ$[/tex] using the unit circle, follow these steps:
Draw the unit circle, which is a circle with a radius of 1 unit centered at the origin (0,0) on the Cartesian coordinate plane.
Identify the point on the unit circle corresponding to [tex]$60^\circ$[/tex]. This point is located in the first quadrant and makes an angle of [tex]$60^\circ$[/tex]with the positive x-axis.
Since the unit circle has a radius of 1, the coordinates of the point corresponding to 60 are:
[tex]$x$-coordinate: $\cos(60^\circ) = \frac{1}{2}$\\$y$-coordinate: $\sin(60^\circ) = \frac{\sqrt{3}}{2}$[/tex]
Now, we'll use the definition of tangent to find [tex]$\tan(60^\circ)$[/tex]:
[tex]$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$\\Substitute the values of $\sin(60^\circ)$ and $\cos(60^\circ)$ into the formula:$\tan(60^\circ) = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$[/tex]
Simplify the expression:
[tex]$\tan(60^\circ) = \left(\frac{\sqrt{3}}{2}\right) \cdot \left(\frac{2}{1}\right)$$\tan(60^\circ) = \sqrt{3}$[/tex]
So, the correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.
Complete question:
Use the unit circle to find tan 60°.
a. square root 3/3
c. 2 square root 3/3
b. square root 3/2
d. square root 3
How much do you need to subtract from 35/6 to make 5
Answers
Steps:
35/6 - 5 = 5/6
So; 35/6 - 5/6 = 5
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The required number would be 5/6 which subtracts from 35/6 to make 5.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
We have to determine the number which subtracts from 35/6 to make 5.
Let's assume that the required number would be x
As per the given question, the required solution would be as:
⇒ 35/6 - x = 5
Rearrange the terms in the above equation, and solve for x
⇒ x = 35/6 - 5
Take the LCM in the terms
⇒ x = (35 - 30)/6
Apply the subtraction operation in the terms
⇒ x = 5/6
Therefore, the required number would be 5/6.
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The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge
Answers
The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).
[tex]x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7[/tex]
Slope (m) = [tex]\frac{5}{4}[/tex]
To find the missing coordinate r:
Slope formula:
[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]
Substitute the given values in the formula.
[tex]$\frac{5}{4}=\frac{r-1}{-7-(-15)}[/tex]
[tex]$\frac{5}{4}=\frac{r-1}{-7+15}[/tex]
[tex]$\frac{5}{4}=\frac{r-1}{8}[/tex]
Do cross multiplication.
[tex]8 \times 5=4(r-1)[/tex]
40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.
evaluate (4/7 + 8) x (3-(-4))
Answers
Answer:
Step-by-step explanation:
To solve the question, apply BODMAS approach. that is solve the brackets, division, multiplication first before the addition and subtraction.
step 1: take the first bracket (4/7 + 8)
[tex]\frac{4}{7} + 8[/tex] is the same as (4/7)+ (8/1). The LCM is 7. multiply each term by the LCM and divide by the denominator.
[tex]\frac{4}{7} + 8[/tex] = [tex]\frac{(4X1) + (8X7)}{7}[/tex] = [tex]\frac{4+56}{7}[/tex] = [tex]\frac{60}{7}[/tex]
step 2: consider the second bracket (3-(-4))
there is a sign multiplication in the terms. minus (-) x minus (-) = plus (+)
therefore the second bracket (3-(-4)) = 3 + 4 = 7
step 3: multiply both brackets.
(4/7 + 8) x (3-(-4)) = [tex]\frac{60}{7} X 7[/tex] = 60
The answer is 60
What is 5 divided by 8 ?
Answers
Answer:
0.625
Step-by-step explanation:
0.625 * 8 = 5
Answer: 0.625
Step-by-step explanation: When doing 5 divided by 8, you get 0.625
Most bees have a body temperature of 35* Celsius. When they sleep, it can drop by up to 2* celsius. What's their range in body temperature written as an inequality with the variable t?
Answers
33°≤ t ≤ 35°
Step-by-step explanation:
The body temperature of a bee is given as 35°
When it sleeps, it drops by 2°
The sleeping temperature is therefore : 35°-2°=33°
The rage of body temperature is : 33°-35°
If t is body temperature then the rage in body temperature is;
33°≤ t ≤ 35°
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Keywords : body, temperature, sleep,drop,range, variable
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MULTIPLYING POLYNOMIALS
1.(n-4)(n-6)
2.(a+5)(a-6)
3.(4b+6)(b-4)
please help i cant figure these out thank you
Answers
[tex](n-4)(n-6) = n^2-10n+24\\\\(a+5)(a-6) = a^2 -a-30\\\\(4b + 6)(b-4) = 4b^2 -10b-24[/tex]
Solution:
Multiplying polynomials:
Multiplying polynomials is same like multiplying numbers
First, multiply the first term in the first parentheses by all the terms in the second parentheses
Now we multiply the second term in the first parentheses by all terms in the second parentheses and add them to the previous terms
[tex]1)\ (n-4)(n-6)[/tex]
[tex](n-4) \times (n-6) = n^2 -6n -4n +24\\\\Simplify\\\\(n-4) \times (n-6) = n^2 -10n + 24[/tex]
Now let us multiply the second given option
[tex]2)\ (a+5)(a-6)[/tex]
Multiply them together
[tex](a+5)(a-6) = a^2 -6a + 5a - 30\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(a+5)(a-6) = a^2 -a -30[/tex]
Now let us multiply the third given polynomial
[tex]3)\ (4b+6)(b-4)[/tex]
Multiply them together
[tex](4b+6)(b-4) = 4b^2 -16b + 6b - 24\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(4b+6)(b-4) = 4b^2 -10b -24[/tex]
Thus the given polynomials are multiplied
The perimeter of the sign is 28 meters. If the width of the sign is 4meters, what is the length in meters?
Answers
Answer:10
Step-by-step explanation:
28-4-4=20
20÷2=10
10+10+4+4=28
Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete the text. Can he do it in 5 minutes?
Answers
Answer:
yes,in fact he can do it in just 4 minutes.
Step-by-step explanation:
number of words he can text per hour=1500
number of words he can text in a minute=1500÷60 (since there are 60 minutes in an hour,we are dividing 1500 by 60 to get the answer in minutes)
=25 words per minute
number of minutes he has=5.
now, we have to multiply the number of words he can type in a minute by the number of minutes he has,so 25×5=125.
he can type 125 words in 5 minutes.
Sao can text 25 words in a minute. Therefore, Sao can text a total of 125 words in 5 minutes. Thus, 85 words can be texted comfortably within this timeframe.
Explanation:In this situation, we first need to determine how many words Sao can type in one minute. Since he can type 1500 words per hour, and there are 60 minutes in an hour, by dividing 1500 by 60, we determine that Sao can type 25 words per minute. Now, given that Sao has 5 minutes to type the message and he can type 25 words per minute, in 5 minutes, he should be able to type 125 words - 5 (minutes) * 25 (words). This means that if Sao has a message with 85 words, yes, he can complete the text in 5 minutes as 85 is less than 125.
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An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a width of 20 feet. On her floor plan, 1/4 inch will represent 1 foot of the room’s actual width. What will be the width of the Great Room, in inches, on her floor plan?
Answers
Answer:
5 inches
Step-by-step explanation:
we know that
The scale drawing is
[tex]\frac{1}{4}\ in : 1\ ft[/tex]
using proportion find out the width of the great room on her plan
[tex]\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in[/tex]
Answer:
5 inches
Step-by-step explanation:
Hope this helped!!
What is 3.01 and 2/3 as a decimal
Answers
Answer:
2/3 as a decimal is 0.6 recurring
Step-by-step explanation:
See above
Answer:
3.01 is a decimal and 2/3 as a decimal is .666666666666666666 it keeps going on
Step-by-step explanation:
Backpack discounted 10% on sale for $37.80
Answers
Explanation: Multiply $37.80 by 10% you get 3.78 which you then subtract from the original $37.80 making it = $34.02
Type the correct answer in each box.
The graph represents the piecewise function:
Answers
Answer:
f(x) = x + 3 , if -3 ≤ x < -1
f(x) = 5 , if -1 ≤ x ≤ 1
A distribution data has a maximum value of 96, a median value of 56.5, and a minimum of 23. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
Answers
Answer:
The standard deviation estimate by the Range Rule of Thumb = 18.3
Step-by-step explanation:
i) maximum = 96
ii) minimum = 23
iii) standard deviation [tex]\approx[/tex] [tex]\frac{(maximum\hspace{0.1cm} - \hspace{0.1cm} minimum)}{4} = \frac{96 - 23}{4} = \frac{73}{4} = 18.25[/tex]
The standard deviation estimate by the Range Rule of Thumb = 18.3
Salma gives a cashier $20 bill. She is buying an item for $9.85. How much money should salma get back
Answers
Answer:
10.15 dollars is the answer...
Please give me answer! (Photo attached)
Answers
Answer:
B 3*-3* -4/9
Step-by-step explanation:
determine the probability will give brainliest
Answers
Answer:
The second option, 0.3 is the probability.
The formula below is used to convert degrees Fahrenheit (F) into degrees Celsius (C). A cookbook asks us
to set the oven temperature to 350° Fahrenheit. Convert this into degrees Celsius, correct to the nearest
degree.
c= 5(F-32)
———-
9
Answers
Answer:
177° C
Step-by-step explanation:
substitute F = 350 into the formula
C = [tex]\frac{5(350-32)}{9}[/tex] = [tex]\frac{5(318)}{9}[/tex] = [tex]\frac{1590}{9}[/tex] ≈ 177 ( to the nearest degree )
How many hours did you sleep each day this month
Answers
10 hours, none more, none less
The line that has a slope of 2 and passes through (1, -4)
Answers
Answer:
y=2x-6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-1)
y+4=2x-2
y=2x-2-4
y=2x-6
The side length, sofa cube is 4x^2+3. If V=s^3
what is the volume of the cube?
Answers
Answer:
64[tex]x^{6}[/tex] + 144[tex]x^{4}[/tex] + 108x² + 27
Step-by-step explanation:
Using the formula for volume, V = s³, then
V = (4x² + 3)³
This may be expanded as
(4x² + 3)(4x² + 3)(4x² + 3) ← expand the first 2 factors using FOIL
= (16[tex]x^{4}[/tex] + 24x² + 9)(4x² + 3) ← distribute by 4x² and 3
= 64[tex]x^{6}[/tex] +96[tex]x^{4}[/tex] + 36x² + 48[tex]x^{4}[/tex] + 72x² + 27 ← collect like terms
= 64[tex]x^{6}[/tex] + 144[tex]x^{4}[/tex] + 108x² + 27
Answer:
[tex]64x^{6}[/tex] + [tex]144x^{4}[/tex] + [tex]108x^{2}[/tex] + 27
Step-by-step explanation: