The angle A for the given triangle will be 65°.
What is a triangle's definition?
In geometry, triangles have three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The total of three triangle angles equals 180°. The triangle is enclosed by only one plane. Triangles are classified into three different categories based on their sides.
Scalene Triangle - The length of each side varies.
Isosceles Triangle - A triangle having two equal-length sides and one that is not.
Equilateral Triangle - A triangle with three sides of equal length.
Now,
let the right angle is at B
then AC=hypotenuse and AB=Base
then cos A=B/H=8/19
cosA=0.4210
∠A=65°
hence,
The angle A for the given triangle will be 65°.
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2. Troy had 3/8 of a pizza left over from his party. He ate 3/4 of the leftover pizza for breakfast. How much of the
whole pizza did Troy have at breakfast?
3. 3/5 of a bag of coffee weighs 6/7 pound. How much does a whole bag of coffee weigh?
The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds
A fraction is defined as a part of a whole quantity.
1. Leftover pizza = 3/8
Pizza used as breakfast = 3/4 of left-over pizza
= 3/4 of 3/8
The of is calculated by the use of multiplication
The fractions are multiplied as follows:
The numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Pizza used as breakfast = 3/4 * 3/8
= 3 * 3 / 4 * 8
= 9/32
2. 3/5 of bag of coffee weighs = 6/7 pounds
1 bag of coffee weighs = 6/7 ÷ 3/5
The fractions are divided as follows:
The fraction to be divided is reciprocatedThe numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Thus, = 6/7 * 5/3
= 6 * 5 / 7 * 3
= 30/21
= 10/7 pounds
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Find the equation of a line that contains the points (-3,-1) and (-4, -7). Write the equation in slope-intercept form.
Answer:
y = 6x + 17
Step-by-step explanation:
First you can find the slope:
m = (y2-y1) / (x2-x1)
m = (-7 - (-1)) / (-4 - (-3))
m = (-7 + 1) / (-4 + 3)
m = -6 / -1
m = 6
_______
Then we can plug what we know into the point-slope form:
y - y1 = m (x - x1)
(you can pick either one of the points to plug in as (x1, y1))
y - (-7) = 6 (x - (-4))
y + 7 = 6 (x + 4)
_______
Now we can change the point-slope form into slope-intercept form by solving for y:
y + 7 = 6 (x + 4)
y + 7 = 6x + 24
y = 6x + 17
please help me im d-mb
Answer:
5621 years
Step-by-step explanation:
Plug everything in first.
\(N=N_0e^{-kt}\\\\\implies 0.57 = e^{-0.0001t}\\\\\implies\ln \left(0.57\right)=-0.0001t\\\\t=-\frac{\ln \left(0.57\right)}{0.0001}\)
Round to closest amount of years = 5621 years
What is 2.08 • 107 written in standard notation?
Answer:
D.
Step-by-step explanation:
20,800,000 it matches more
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Whoever answers the questions correctly gets brainlist
Answer:
2. B
3. B
4. 2(7k+5h)
5. $325
Step-by-step explanation:
2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.
3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.
4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).
5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.
a. If Links printing store will make a 150 copies for the cost of $15.00, then what is theunit rate of price per copy?
ANSWER
$0.10
EXPLANATION
We have that 150 copies are made for a total cost of $15.00
The unit rate of price per copy is the price of each copy of the printing.
To find the unit rate of price per copy, we have to divide the total price by the total number of copies.
So, we have:
\(\frac{15}{150}\text{ = \$0.10}\)This means that the unit rate of price per copy is $0.10
Planes A and B are shown.
m
n
B
MA
If a new line, p, is drawn parallel to line /, which
statement is true?
O
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /
O Line p must be drawn in the same plane as line n.
The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
The given planes are A and B,
A new line, p, is drawn parallel to line l,
Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.
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The image of the remaining question is attached below.
find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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I was confused on how to go about this.
Find the area of the triangle.
A = 14 m^2
Step-by-step explanation:
The equation for the area of a triangle is...
\(A=\frac{1}{2}bh\)
For this we need the base and the height. Looking at the picture, we can see that the height is 4. The base is split into 2 parts, so we just need to add the 3 and the 4 together, that will make our base 7. Now we can plug these into the equation, but I'm also just going to make the 1/2 a 0.5.
\(A=0.5*4*7\)
\(A=\)
14 m^2
Which of the following tables represents a linear relationship that is also proportional
Answer picture below
Answer:
c=200+0.4Yd find determine equlibirum level investment is =400
Answer:im pretty sure its D
Step-by-step explanation:it goes through the origin
2/10=g/20 in proportions
Answer
Step-by-step explanation:
10g = 40
g = 4
Please help me with my math answer
Step-by-step explanation:
20 ml is your answer
i hope it helps u
Answer:
If I'm reading it correctly the answer should be 20.
To get that answer all you do is 4x5.
A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10 days.
Find the formula for the daily rate. Type your answer as a fraction.
Answer:
r=ln3/10
Step-by-step explanation:
The daily rate is given by 3 to the power x divided by 10.
We have given that a sample of bacteria is growing at a continuously compounding rate.
The sample triples in 10 days.
What is the formula for the daily rate?The daily rate of the bacteria growth is. exponential growth is in the form
y = abˣ
where y, x are variables.
a is the initial value
Sample triples, in 10 days. therefore the value of b=3.
Therefore we get,
\(y=3a^{\frac{x}{10}\)
\(y=a3^{\frac{x}{10}\)
Therefore the daily rate is given by \(3^{\frac{x}{10}\).
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PLEASE HELP ME!! I NEED HELP WITH THIS
Answer: It is answer C.
Step-by-step explanation: Because of the location and angle of the line, it intersects at 9 on the y axis and 1 on the x, therefore giving you 9 over 1
A rectangular room is 1.3 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.
The dimensions of the room are approximately 5.87 meters by 7.63 meters.
Let's assume the width of the room is "x" meters.
According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.
Perimeter = 2(length + width)
Substituting the values we know:
27 = 2(1.3x + x)
Simplifying:
27 = 2(2.3x)
27 = 4.6x
Dividing both sides by 4.6:
x = 27 / 4.6
x ≈ 5.87
The width of the room is approximately 5.87 meters.
To find the length, we can multiply the width by 1.3:
Length = 1.3 * 5.87 ≈ 7.63
The length of the room is approximately 7.63 meters.
Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.
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Please help with this question.
Answer:
15, 9, 3, -3
Step-by-step explanation:
y= -3x+3
for x= -4, -2, 0, 2 substitute in your equation
y= (-3)*(-4)+3= 12+3= 15
y= -3*-2+3 = 6+3 = 9...
Solve for e 0.75(8+e)=2-1.25e
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing. Express your mathematical thinking.
Pls help step by step, loves <3 (special right triangles)
Answer:
x ≈ 30,37
y ≈ 29,00
Step-by-step explanation:
Use trigonometry:
\( \sin(38°) = \frac{9}{x} \)
Now, use the property of the proportion to find x:
\(x = \frac{9}{ \sin(38°) } ≈30.37\)
Do the same thing to find y:
\( \tan(38°) = \frac{9}{y} \)
\(y = \frac{9}{ \tan(38°) } ≈29.00\)
Which equation is correct?
427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
427 × 3 = 400 + 20 × 3 + 7 × 3
427 × 3 = 400 × 3 + 20 × 3 + 7
427 × 3 = 4,000 × 3 + 200 × 3 + 70 × 3
Answer:
A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
Step-by-step explanation:
\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)
Therefore, the first option is correct
Find the area of the region bounded by
• y = √x,
• y = 2-x², and
y = -√2x.
The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.
Firstly, we'll graph the equations and find the points of intersection:
y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u
(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u
)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.
The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$
We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$
Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
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In the diagram at right, DE is a midsegment of triangle ABC. If the area of triangle ABC is 96 square units, what is the area of triangle ADE? Explain how you know.
The area of triangle ADE is,
⇒ A = 48 square units
We have to given that,
In the diagram , DE is a midsegment of triangle ABC.
And, The area of triangle ABC is 96 square units
Now, We know that,
Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.
Hence, the area of triangle ADE is half the area of triangle ABC,
That is,
A = 96 / 2
A = 48 square units
Thus, The area of triangle ADE is,
⇒ A = 48 square units
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Sam borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5%. The total interest that he paid was $40. How
much money did he borrow?
If necessary, refer to the list of financial formulas.
X
Answer:
$200
Step-by-step explanation:
We use simple interest formula
A = P(1+RT)
= P(1+0.05×4)
A = 1.2P
Interest = Amount - principal
40 = 1.2p -p
40 = 0.2p
P = $200
Amount = 1.2 X 200
= $240
The amount borrowed was the principal which was = $200
Solve F=9/5C+32 for C.
A.F−32/9
B.5/F−32
C.9/5(F−32)
D.5/9(F−32)
Answer:
C
Step-by-step explanation:
Round each measurement to the nearest ten. Then estimate the area of the rectangle.
The required estimated area of the rectangle is 4000 square units.
What is an estimate?The estimate is a process, and it includes the rough over-calculation that makes one have a close value to the exact value.
Here,
Rounding the length and width of the rectangle to the nearest ten, we get:
Length = 80
Width = 50
To estimate the area of the rectangle, we can use the formula:
Area = length x width
Substituting the rounded values, we get:
Area = 80 x 50
Area = 4000
Therefore, the estimated area of the rectangle is 4000 square units.
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Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
simplificar cada expresion numerica. -24+(-65)÷5
Answer:
-37
Step-by-step explanation:
-24+(-65) /5
-24 + (-13)
-37
Answer:
-37
Step-by-step explanation:
-24+(-65)/5
-24+(-65/5)
-24 - 13
-37
I need help I’m going to open a Business soon so nabeel sandbox is 7 feet wide, 5 feet long and 2 feet deep. What is the volume of the sandbox
Answer:
The volume of the sandbox is 70.
To find the volume, you multiply length, width, and height.