Answers
Given that the triangle is a right triangle, the sum of angles will be:
(4x)°+(7x-20)°+90=180
simplifying and solving for x we get:
4x+7x-20+90=180
11x=180+20-90
11x=110
dividing both sides by 11 we get:
(11x)/11=110/11
this gives us
x=10°
Thus substituting the value of x in:
∠ACB=(7x-20)°
=(7*10-20)
=70-20
=50°
Answer: 50°
Answer:
50°
Step-by-step explanation:
90 + 4x+ 7x - 20(+20) = 180 + 20
4x + 7x = 200 - 90
4x + 7x = 110
11x/11 = 110/11
X = 10
m∠ACB = 7x - 20 = 7(10) - 20 = 50
Related Questions
If a function is odd, then which statement is true?
Answers
Side note: a function is even if f(-x) = f(x) for all x in the domain
Monica measures 91 milliliters of water into 9 tiny beakers. she measures an equal amount of water into the first 8 beakers. she pours the remaining water into the ninth beaker.It measures 19 milliliters. how many milliliters of water are in each of the first eight beakers
Answers
91 ml - 19 ml = 72 ml.
The 72 ml are divided evenly between 8 beakers.
72/8 = 9 ml
There would be 9 ml of water in each of the first 8 beakers.
write and solve an inequality to represent the situation
Answers
9.5 + 3.75e < 25
9.5 is for the necklace, 3.75e is for every earring, and 25 is the amount Dani wants to stay under. Make everything she spends less than, <, 25.
Your friend Zoe is very earnest about the benefits of her special diet. She believes that having kale for breakfast every day will lower your cholesterol.
4a. What's the best method for testing Zoe's claim: a survey, an observational study, or an experiment? Give at least one reason to support your answer. (4 points)
4b. Describe how you would set up a test to determine how much truth there is to Zoe's claims. In particular, what steps would you take to make sure the results were unbiased and valid?
Answers
- The set up I would use is an observational study of a great number of people, over a long period of time, that have to have kale for breakfast every day, with a measurement of their cholesterol over the time. the great number and the long period of study assured that the variable subject of study is statistically represented in an optimal way.
Simplify the expression. (3.14×107)×(1.3×10−3)÷0.2
Scientific notation PLS!
Answers
[tex]3.14 \times 107 = 335.98[/tex]
[tex](335.98) \times (1.3 \times 10 - 3) \div 0.2[/tex]
[tex]1.3 \times 10 = 13 - 3 = 10[/tex]
[tex](335.98) \times (10) \div 0.2[/tex]
[tex]335.98 \times 10 = 3359.8[/tex]
[tex]3359.8 \div 0.2 = 16799[/tex]
[tex]1.6799 \times {10}^{4} [/tex]
30 deciliters he already has 1 liter.How many liters of milk will he need to buy?
Answers
find number of liters in 30 deciliters
1 deciliter= 0.1 liter
multiply total number of deciliters (30) by liters in one deciliter (0.1).
=30 * 0.1 liter
=3 liters
STEP 2:
subtract 1 liter from step 1 answer because he already has one liter
= 3 liters - 1 liter
= 2 liters still needed
ANSWER: He needs to buy 2 liters
Hope this helps! :)
If the mean of a symmetrical distribution is 42, which of these values could be the median of the distribution?
Answers
Answer: 42
Answer:
42
Step-by-step explanation:
The median of a distribution is the exact center of the distribution, you start taking out numbers equally from the outside to the center, and eventually you will find the median, in a symmetrical distribution that means that there are the same number of values to the sides of the median, and the mean of a symmetrical distribution is always going to be equal to the median, so in this case the median and the mean would be the same, 42.
Roy borrows $42,000 to purchase a new truck. How much will Roy need to pay in all if the interest is compounded annually at 3.5% for 10 years? (5 points) $43,125.00 $63,624.00 $59,245.15 $51,709.00
Answers
[tex]a= p(1+r) ^{t} [/tex]
a- amount
p- Is the principal the principal is the amount borrowed
r- is the rate
t- is the time
We will input all the numbers from our question into the formula.
[tex]a= 42,000(1+0.035) ^{10} [/tex]
Our rounded calculation is 59245.15
Roy will have to pay 59245.15
Pedro’s Father is building a shed how many square feet of wood are needed
Answers
For the rectangle A= lw
Use the formulas and add the answer you got for both formulas. Remember b stands for base, h stands for height, l stands for length, and w stands for width. When the when the “letters” are next to each other, like bh, that means to multiply.
The answer should be 2 _ _ ft squared
Try to figure out what the other two missing numbers are! The answer begins with 2, good luck!
Solve for x (Round to the nearest hundredth)
Answers
picking a month of the year in the day of the week (fundamental counting principle)
Answers
If you are picking a month, there are 12 options.
If you are selecting a day of the week, there are 7 options.
If you are doing both, you multiply the two numbers together.
12 x 7 = 84
Using the fundamental counting principle to pick a month of the year in the day of a week would give 84 combinations.
How to find the number of combinations ?
The Fundamental Counting Principle is a concept in combinatorics that helps you calculate the total number of possible outcomes when you have multiple independent choices or events.
Choices for the Month: There are 12 months in a year. So, you have 12 choices for the month.
Choices for the Day of the Week: There are 7 days in a week
To find the total number of possible combinations of a month and a day of the week, you simply multiply the number of choices for each event:
Total Number of Combinations = Number of Choices for Month x Number of Choices for Day of the Week
Total Number of Combinations = 12 months x 7 days
= 84 combinations
In conclusion, there are 84 different combinations of selecting a month of the year and a day of the week using the Fundamental Counting Principle.
Sharon is paving a rectangular concrete driveway on the side of her house. The area of the driveway is 5x^2 + 43x - 18, and the length of the driveway is x + 9.
Additionally, Sharon plans to install a carport over a small portion of the driveway. The volume that the carport can enclose is 48x^3 + 68x^2 - 8x - 3, and the area of driveway beneath the carport is 8x^2 + 10x - 3.
Determine the width of the entire driveway and height of the carport in terms of x. Replace the values of m and b to complete the expression that represents the width of the entire driveway on the first line, and then replace the values of m and b to complete the expression that represents the height of the carport on the second line.
You have to type the answer in mx+b
im just trying to graduate....
Answers
The height of the carport is 6x+1.
We complete polynomial long division for both of these.
For the driveway:
Dividing 5x²+43x-18 by x+9, we first see how many times x will go into 5x². It goes in 5x times; we write this in the division problem above 43x. Multiplying back through,
5x(x+9) = 5x²+45x. This goes below 5x²+43x. We now subtract:
5x²+43x-(5x²+45x)= -2x; this goes below the 45x we wrote earlier. Bring down the -18.
Now we see how many times x goes into -2x; it goes -2 times. This goes beside our 5x in our answer at the top. Multiplying back through,
-2(x+9) = -2x-18. This goes below our -2x-18 we had, and gives us an answer of 5x-2 with a remainder of 0.
For the carport:
To divide 48x³+68x²-8x-3 by 8x²+10x-3, we see how many times 8x² will go into 48x³. It will go 6x times; write this above -8x. Multiplying back through,
6x(8x²+10x-3) = 48x³+60x²-18; write this below 48x³+68x²-8x. Now subtract:
48x³+68x²-8x-(48x³+60x²-18) = 8x²+10x; this goes below our 48x³+60x²-18. Bring down the -3.
Now we want to see how many times 8x² will go into 8x². It goes 1 time; write this beside our 6x at the top. Multiplying back through,
1(8x²+10x-3) = 8x²+10x-3; write this below the 8x²+10x-3 we have already down. When we subtract these, we get a remainder of 0, with our answer up top as 6x+1.
Answer:
Width: 5x-2
Height: 6x+1
Step-by-step explanation:
Ricardo just received a shipment of 50 tool sheds for his garden supply store. Each shed costs him $40. Which of the following could Ricardo use to find the total amount he will pay for the tool sheds?
Answers
50• 40= $2000
The answer is multiply 50 and 40
Ricardo will calculate the total amount he will pay for the 50 tool sheds by multiplying the quantity (50 sheds) by the cost per shed ($40), which equals $2,000.
To calculate the total amount Ricardo will pay for the 50 tool sheds he received, he needs to multiply the number of sheds by the cost per shed. Since each shed costs him $40, the calculation to find the total cost is as follows:
Multiply the quantity of tool sheds by the cost per shed: 50 sheds imes $40 per shed.
Calculate the product to find the total cost: 50 imes $40 = $2,000.
Therefore, Ricardo will pay a total of $2,000 for the 50 tool sheds.
which types of triangles can be formed by taking the cross section of a cube
Answers
Hope this helps!!
There are 453.592 grams in one pound . A semi slick , Kevlar tire weighs about 520 grams . What is the tires weighs in pounds ?
Answers
520 gr 1 lb
--------- * -------------- = 1.15 lb (answer)
1 453.6 gr
"What is the tire's weight in pounds?"
convert: 7 tons 500 lb to lb
Answers
Final answer:
7 tons and 500 pounds equals 14,500 pounds, which is calculated by converting tons to pounds and adding the additional pounds.
Explanation:
To convert 7 tons and 500 pounds to pounds only, follow these two steps:
Convert tons to pounds. Since 1 ton is equal to 2,000 pounds, you multiply the number of tons by 2,000. For 7 tons, it would be 7 × 2,000 = 14,000 pounds.
Add the additional pounds to the converted weight. So, you would add 500 pounds to 14,000 pounds, resulting in 14,500 pounds.
Therefore, 7 tons and 500 pounds is equivalent to 14,500 pounds.
The coordinate plane represents a map. Each grid unit represents 20 miles. A retail company has a warehouse at N(40, 60). A store is located at P(40, −30). How long will it take a truck driving at 50 miles per hour to drive from warehouse N to this store?
Answers
The truck will take 36 hours to travel from warehouse N to store P.
To calculate the time it will take for a truck to travel from warehouse N to store P, we need to first determine the distance between the two points in the coordinate plane. Since each grid unit represents 20 miles, we will use the coordinates of N(40, 60) and P(40, -30) to calculate the distance in grid units and then convert that into miles. The two points share the same x-coordinate, so the truck is only traveling in the north-south direction. By subtracting the y-coordinate of P from that of N, we find that the two points are 90 grid units apart in the y-direction (60 - (-30) = 90). After converting the grid units into miles by multiplying by 20, the total distance is 90
20 miles = 1800 miles.
The truck drives at a speed of 50 miles per hour, so we divide the total distance by the truck's speed to find the time it takes to travel from N to P:
1800 miles / 50 miles per hour = 36 hours.
4.05E+9 In scientific notation ?
Answers
the picture below should help you :>
4.05E+9 in scientific notation is 4.05 x 10^9.
4.05E+9 in scientific notation is 4.05 × 109. When a number is given in scientific notation, the coefficient is multiplied by 10 raised to the power of the exponent.
A dice is rolled and a marble is selected at random from a bag with 2 red marbles, 2 green marbles, 2 yellow marbles, 1 purple marble and 1 blue marble. Find the P(odd and not green).
Answers
1/3 times 3/4
So, the answer is 3/12
Simplify: 1/4
The table shows summary statistics for guests' ages at two parties.
Party Median age (years) Range (years)
1 17 27
2 19 20
Which conclusion is true?
A. A typical guest at Party 1 was younger than a typical guest at Party 2, and guests' ages were more variable at Party 1 than at Party 2.
B. A typical guest at Party 1 was younger than a typical guest at Party 2, and guests' ages were less variable at Party 1 than at Party 2.
C. A typical guest at Party 1 was older than a typical guest at Party 2, and guests' ages were more variable at Party 1 than at Party 2.
D. A typical guest at Party 1 was older than a typical guest at Party 2, and guests' ages were less variable at Party 1 than at Party 2.
Answers
the range of 1 is 27, the range of 2 is 20 so the range of 1 is larger, which means there is more variance
the answer should be
A. A typical guest at Party 1 was younger than a typical guest at Party 2, and guests' ages were more variable at Party 1 than at Party 2.
Can someone please help me with this.
Answers
V4,3= 50.27
V2,12= 150.80
V3,10= 94.25
9. F is correct.
10. A= 4/3πr³
A=4/3(3.14)(7inch)³= 1436.03 inch³
11.
(w+7)+(-5)
w+(7-5)
(w+2)
So A is a correct simplification (w+2)
12. V=πr²h
V=(3.14)(8in)²(7inch)= 1406.72 inch³
Plz help identify the slope of 8x-3y=12 without graphing the line.
Answers
The diameter of a DVD is 12 centimeters. The hole in the center of a DVD has a diameter of 1.5 centimeters. Find the area of the DVD. Round to the nearest hundredth if necessary.
Answers
The area of the circular DVD is given by A = 111.33 cm²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the area of the circular DVD be A
Let the diameter of the DVD = 12 cm
So , the radius of the DVD = 6 cm
Now , the diameter of the hole = 1.5 cm
So , the radius of the hole = 0.75 cm
And , area of the circular DVD be A = π [ ( 6 )² - ( 0.75 )² ]
On simplifying , we get
The area of circular DVD is A = π ( 36 - 0.5625 )
The area of circular DVD is A = π ( 35.4375 )
The area of circular DVD is A = 111.33 cm²
Hence , the area of the circular DVD is 111.33 cm²
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The number of wild flowers growing each year in a meadow is modeled by the function f(x).
f(x)=[tex] \frac{1000}{1+9e^{-0.4x} } [/tex]
Which statements are true about the population of wild flowers?
Select each correct answer.
A. Initially there were 100 wild flowers growing in the meadow.
B. 42 more wildflowers will grow in the 11th year than in the 10th year.
C. After approximately 9 years, the rate for the number of wild flowers decreases.
D. In the 15th year, there will be 1050 wild flowers in the meadow.
Answers
30 POINTS - The tables below represent the profits earned by a merchandiser from four new consignments of t-shirts. Each consignment contained t-shirts of five different sizes. If we were to plot each of the t-shirt sizes and the profit earned on each new size, we would get a different graph for each consignment. Almost all the graphs showed some association between the two variables, except one consignment, which showed no association. Which of the following consignments shows no association?
Answers
Graph 1, 3, and 4 showed a similar linear association, with the exception of graph 3 having a negative slope. In graph 2, however, the data is scattered which showed no association between the two variables.
Note: Refer to the attached pictures.
Ken's cafe serves hot cocoa.each serving has 9 grams of chocolate.how many grams of chocolate are in 8 servings of hot cocoa?
Answers
answer = 72 grams
The list shows the scores made be each member of Jaime's discussion group on the last test. 69 79 62 93 73 81 73 78 Which box-and-whiskers plot correctly displays the information? f Box-and-whiskers plot G g Box-and-whiskers plot J h Box-and-whiskers plot F j Box-and-whiskers plot H
Answers
Explanation
We first order the data from least to greatest:
62, 69, 73, 73, 78, 79, 81, 93
The median is the middle data value. Since there is an even number of values, the median is between 73 and 78:
(73+78)/2 = 151/2 = 75.5
The Upper Quartile (UQ) is the median of the upper half of data, cut by the median. This half has an even number of data points, so the UQ is between 79 and 81:
(79+81)/2 = 160/2 = 80
The Lower Quartile (LQ) is the median of the lower half of data, cut by the median. This half has an even number of data points, so the LQ is between 69 and 73:
(69+73)/2 = 142/2 = 71
The center line of the box will be at 75.5, the median. The left edge of the box is at the LQ, 71. The right edge of the box is at the UQ, 80. There is a whisker extending from the right side of the box to the highest value, 93. There is a whisker extending from the left side of the box to the lowest value, 62.
Final answer:
To choose the correct box-and-whiskers plot for Jaime's discussion group scores, we must calculate the five key statistics and match them with a plot displaying those exact values, factoring in the majority of scores in the 70-89 range.
Explanation:
To determine which box-and-whiskers plot correctly displays Jaime's discussion group scores, we need to calculate five key statistics: the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and the maximum. These statistics help us create an accurate box plot representation of the dataset.
First, we organize the scores in ascending order: 62, 69, 73, 73, 78, 79, 81, 93. From here, we can identify the minimum (62) and maximum (93) scores directly. The median score will be the average of the fourth and fifth scores since we have an even number of observations, which is (73+73)/2 = 73. The lower quartile (Q1) is the median of the lower half of the data, which would be (69+73)/2 = 71. The upper quartile (Q3) is the median of the upper half of the data, which is (79+81)/2 = 80.
Now that we have all the necessary statistics, we can select the box plot that matches these values. Jaime's scores are mostly within the 70-89 range, reflecting a majority of C and B grades, with a few scores in the 60-69 and 90-100 ranges, which correspond to D/F and A ranges respectively. The correct box-and-whiskers plot will show a box ranging from Q1 (71) to Q3 (80), a median line at 73, a whisker extending to the minimum score of 62, and another whisker extending to the maximum score of 93.
Math Financial Literacy HELP
Answers
Since her taxabnle income is at least 39,250 but less than 38300 her tax is 5944 but she paid 6155. 6155-5944=211
Write the standard form of the equation of the circle with the radius of 12 and center at the origin.
Answers
The standard form of the equation of the circle with the radius of 12 and center at the origin is,
⇒ x² + y² = 144
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
the radius of circle is, 12 and center at the origin.
Now, We know that;
Standard form of circle with center origin and radius r is,
⇒ x² + y² = r²
Here, r = 12
Hence, The standard form of the equation of the circle with the radius of 12 and center at the origin is,
⇒ x² + y² = 12²
⇒ x² + y² = 144
Thus, The standard form of the equation of the circle with the radius of 12 and center at the origin is,
⇒ x² + y² = 144
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For the equation, y= -x - 4, tell whether it’s graph passes through the first quadrant. Explain how you know.
A.) No; for x<0 the y-values are negative.
B.) Yes; for x>0 some y-values are positive.
C.) No; for x>0 the y-values are negative.
D.) Yes; for x<0 some y-values are positive.
Answers
The graph of the equation y = -x - 4 does not pass through the first quadrant because for x < 0, the y-values are negative.
Explanation:The given equation is y = -x - 4. To determine whether its graph passes through the first quadrant, we need to assess the values for x and y. In the first quadrant, both x and y values are positive.
If we substitute any positive value for x into the equation, we will obtain a negative value for y. Therefore, the graph does not pass through the first quadrant. Hence, the correct answer is option A.