Isosceles triangle has three sides, three angles, a base, a height, and an area in which two sides are equal to each other .
What is an isosceles triangle simple definition?
An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles
the sum of triangle is 180, sum of all the interior angles is equal to 180.
so if you know two angles then apply sum of triangles and find out the value of the third triangle.
isosceles triangle
An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.
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23
Luke invested £4000 in a savings account for 3 years.
Compound interest was paid at a rate of 1. 8% each year.
Alexa also invested £4000 in a savings account for 3 years.
Simple interest was paid at a rate of 1. 8% each year.
Luke got more interest than Alexa in total over the 3 years.
How much more?
You must show all your working.
The amount luke made more than alexa is $3.91 .
What is simple interest ?
simple interest can be defined as the ratio of product of principal amount , rate and time and 100.
Luke investment,
This is compound interest so the future value formula will be used:
= Amount * ( 1 + rate) ^ no. of years
= 4,000 * ( 1 + 1.8%)³
= $4,219.91
Alexa investment:
Simple interest is calculated with the formula:
= Amount * ( 1 + rate * time)
= 4,000 * ( 1 + 1.8% * 3)
= $4,216
Amount Luke made more than Alexa:
= 4,219.91 - 4,216
= $3.91
Hence , The amount luke made more than alexa is $3.91 .
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For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper.
Objects (A-E)
Scales (1 - 7)
А
Scales
AA person
1. 1:17
B A footballfeld (220 yards by 53 yards)
2. 1 cm: 1m
c The state of Washington (about 240 miles by 380 miles) 3 1:1000
The floor plan of a house
4. Itimile
E A rectangular farm (5 miles by 2 mile)
5 1:100,000
& 1 mm 1 km
7. 1:10,000,000
B
С
E
The appropriate scale for a drawing are-
2) 1 cm: 1 m 3) 1:10005) 1:100,0001) 1 in: i ft4) 1 ft : 1 mileExplain the term scale of drawing?When ever a drawing is said to be "to scale," it signifies that each piece is proportionate to the genuine or hypothetical entity; it may be smaller or larger by a specific amount.The scale describes the actual length that each length just on scale graphic corresponds to.The appropriate scale for a drawing that fits on a regular sheet of paper
A. A person : 2) 1 cm: 1m B. A football field (120 yards by 5 1/3 yards) : 3) 1:1000C. The state of Washington (about 240 miles by 360 miles) : 5) 1:100,000D. The floor plan of a house : 1 in: i ftE. A rectangular farm (6 miles by 2 mile) : 4) 1 ft : 1 mileTo know more about the scale of drawing, here
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The correct question is attached-
What is the area of this half (semi) circle in square centimeters ?
314 cm
78.5 cm
157 cm
39.25 cm
Answer:
39.25 cm
Step-by-step explanation:
A=[tex]\pi r^{2}[/tex]
=[tex]\pi 5^{2}[/tex]
=78.5
[tex]\frac{78.5}{2}[/tex] = 39.25
Please help with this question!!!
brillianst is given out!
Answer:
Part A is D 125 E and A part B is C
Step-by-step explanation:
What is the formula for a isosceles triangle?
The formula for an isosceles triangle is A = (1/2) * b * h, where b is the base, h is the height, and A is the area.
The formula for an isosceles triangle is A = (1/2) * b * h. This formula is used to calculate the area of an isosceles triangle. To use the formula, you need to know the base, b, and the height, h, of the triangle. The base is the length of any one of the two equal sides of the isosceles triangle, and the height is the distance from the base to the opposite vertex. Once you have these measurements, you can plug them into the formula to calculate the area of the triangle. The formula multiplies the base, b, by the height, h, and then divides the product by two. This will give you the area of the triangle, A.
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Tori bought one share of Macy's stock on Nov 1, 2016 for $33. 38. Four years later, she sold it and the closing price for that day was $5. 9. A) How much money did she gain/lose with this stock? b) What is her rate of return?
(a) He made $382.05. This was the amount of money he made from the stock.
(b) The investment yielded a 96.40% return.
How can I find out how much I made and what my investment returned?
The amount of money made is calculated by dividing the price at which the stock was sold by the price at which it was purchased. If this figure is negative, money was lost; if positive, money was made.
Tori lost money when she purchased one share of Macy's stock on November 1, 2016, for $33.38 and then sold it for $5.09 on that same day's closing price.
= $5.09 - $33.38
= -$28.29
Her rate of return will be:
= -28.29/33.38 × 100
= -84.75%
The amount he made with the stock is indicated below taking into account the values of the problem:
778.38 - 396.33 = $382.05.
The return on the investment is given by the amount earned/lost divided by the initial value, and multiplied by 100% to obtain the value as a percentage, hence it is of:
382.05/396.33 x 100% = 96.40%.
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How do you write log base 10 in Word?
Log<sub>10</sub> is an expression used to represent logarithmic functions with a base of 10. To write log<sub>10</sub> in Microsoft Word, you can use the “Insert Equation” feature.
To access this, select Insert on the top menu bar, followed by Equation. In the new window that appears, select the Greek and Math Symbols tab. In this tab you will find the log<sub>10</sub> symbol that looks like an upside-down “y”. You can then click on the symbol and it will be added to your document.
If you need to type out the equation, you can type “log<sub>10</sub>” and it will automatically be converted to the log<sub>10</sub> symbol. You can also use the shortcut CTRL+Alt+L to insert the log<sub>10</sub> symbol directly into your document.
If you are using a Mac, you can use the shortcut Command+Shift+L. The log<sub>10</sub> symbol is commonly used in mathematics and science, particularly in algebra and calculus. It is used to represent the logarithm of a particular number to the base 10.
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which graph represents the linar function y=1/3x-4?
Answer:
(0,-4)
Step-by-step explanation:
alejandro has 70 marbles. darius has M marbles. if alejandro has 10 times as many marbles does darius have?
Answer:
70 TIMES 10 IS (700), THATS YOUR ANSWER!
Step-by-step explanation:
NO WEBSITES/ fake links, inappropriate/ wired/ not helping comments or your getting reported! Help me with ALL the problems!
Answer:
1). 0.625
2). 0.5
3). 0.6
4). 1.75
5). 0.6666 (repeating decimal)
hope this helped!
x+2y=3x+4 into y=mx+b form
x + 2y = 3x + 4
2y = 3x + 4 - x
y = (2x + 4)/2
y = x + 2
Answer: y=x+2
Step-by-step explanation:
you subtract x on the left on both sides then you'll have 2y=2x+4 we have to get y by itself so divide it by 2 on both side and when you do that on the right you divide both 2x and 4 by 2 thus giving y=x+2
Mr. E makes oatmeal raisin cookies by mixing 3 pounds of cookie dough and 6 quarts of raisins. Assume that he continues to use the same rate to make more batches of cookies. How many pounds of cookie dough should Mr. E mix with 48 quarts of raisins?
Answer:
24 pounds
Step-by-step explanation:
48 quarts of raisins divided by 6 is equal to 8.
So 3 pounds of cookie dough times 8 = 24.
24 pounds of cookie dough.
What is the relationship between Za and Zb / choose 1 answer.
Answer:
they are supplementary angles since they add up to 180
1) Find the value of 7x + 3y when x = 12 and
y = - 6.
Answer:
66
Step-by-step explanation:
7(12)+3(-6)
84-18=66
Answer:66
Step-by-step explanation:
X = 12
Y = -6
(7*12)+(3*-6)
84-18=66
Find the value of b.
Image is below please explain and give correct answer !!
The value of b is degree 104.we can find by using vertically opposite theorem.
What is vertically opposite in maths?Vertical Angles are when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.The point where they meet is called a vertex.
How do we identify opposite angles?Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles meaning they are equal or have the same measurement.
Now we have
(b-308)=(-2b+4)
b+2b=4+308
3b=312
b=104
Hence the value of b is 104 degree.
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x^2 +3x+37=0 Help solve
Answer: x =(3-√157)/2=-4.765
x =(3+√157)/2= 7.765
Step-by-step explanation:
Larry and Carol are both members of a population, and a simple random sample is being conducted. If the chance of Larry being selected is 1/800, what is the chance of Carol being selected
By simple reasoning, The chance of Carol being selected is 1/800.
What in probability is a random process?A collection of random variables, typically indexed by time, makes up a random process. Here, the process S(t) is an illustration of a continuous-time random process. In general, a random process X(t) is a continuous-time random process if t can take real values in an interval on the real line.
A straightforward random sample is being taken from a population that includes both Larry and Carol.
So both of them have an equal chance of being chosen.
Now, Larry's likelihood of being chosen is 1 in 800.
The likelihood of Carol being chosen is then 1 in 800.
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The measure of A is 75º. What is the measure
of its supplement?
Measurement supplement:
Answer:
105
Step-by-step explanation:
Supplementary angles are two angles that add up 180 degrees.
if one is 75, then the other would be 105
hope this helps :)
(i made a mistake so i edited it, thanks for the reminder in the comments)
Answer:
105 degrees
Step-by-step explanation:
Supplementary Angles are angles whose measurements equal 180 degrees
To find the supplement subtract this known measurement angle A
180 - 75 = 105 degrees
What is n?
No links!! I repeat NO links
Answer:
30
Step-by-step explanation:
The sum of the angles in a triangle is always 180
n + 80 + 70 = 180
n + 150 = 180
n = 30º
Roaline tate thay he will be able to buy the 700 dollar PlayStation Before marko can. If roaline ha 200 dollar in the bank and depoit 100 dollar each week, will he be able to buy the PlayStation before Marko
Yes , she will be able to buy the PlayStation before Marko as she only needs 5 weeks to collect the remaining amount of money.
Cost of PlayStation given = 700 dollars
Amount of money which Rosaline has = 200 dollars
Now, if she has 200 dollars and deposits 100 dollar every week , this means she will be able to collect 700 dollars in 5 weeks of time.
100 dollar = 1 week
therefore, this relation means that 500 dollars = 5 weeks
Hence , she will be able to buy the PlayStation in about 5 weeks from the time she starts collecting the money.
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systems of inequalities
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System of Inequalities :System of inequalities is basically a set of two or more inequalities in one or more than one variable. System of inequalities have multiple solutions & there is more than one constraints on the particular solutions. Here, are symbol used in inequalities .
→ > is the greater than symbol. The quantity to the left of the symbol is greater than the quantity to the right .
→ < is the less than symbol. The quantity to the left of the symbol is less than the quantity to the right .
→ ≥ is the greater than or equal to symbol. The quantity to the left of the symbol is either greater than the quantity to the right, or it is equal to the quantity to the right.
→ ≤ is the less than or equal to symbol. The quantity to the left of the symbol is either less than the quantity to the right, or it is equal to the quantity to the right.
→ ≠ is the not equal to symbol. The quantity to the left of the symbol is not equal to the quantity to the right
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What is the value of the expression -9.23 + 4.204?
Answer:
-5.026
Step-by-step explanation:
-9.23 + 4.204
= -5.026
how do i answer part b
Answer: The slope is the cost per hour (in this case $20 per hour).
=========================================================
Further Explanation:
Recall that,
[tex]\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}[/tex]
The rise tells us how much to go up or down, depending if the rise is positive or negative. The run tells us how much to go to the right. Always move to the right.
In this problem, the change in y is the change in price. The change in x is the change in hours. Dividing the two items gives cost per hour, aka unit cost.
-----------------------
Example:
Let's pick two points from this line and use the slope formula. I'll pick (1,60) and (3,100) as they are the only two points with coordinate labels.
So,
[tex](x_1,y_1) = (1,60) \text{ and } (x_2,y_2) = (3,100)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{100 - 60}{3 - 1}\\\\m = \frac{40}{2}\\\\m = 20\\\\[/tex]
The slope is 20, or 20/1
It says that each time the number of hours x goes up by 1, the cost variable y goes up by 20.
Put simply: The hourly fee is $20 per hour.
This matches what it says in the instructions when your teacher wrote "A roofer charges $60 for the first hour and $20 per hour for each additional hour".
Suppose that $2000 is loaned at a rate of 7%, compounded semiannually. Assuming that no payments are made, find the amount owed after 4 years.
Answer:
$2581.60
Step-by-step explanation:
In order to find the amount owed after 4 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the amount owed after t years
P is the principal, or initial amount borrowed
r is the interest rate
n is the number of times the interest is compounded per year
t is the number of years
Plugging in the given values, we have:
A = $2000(1 + 0.07/2)^(2*4)
= $2000(1.035)^8
= $2000(1.2908)
= $2581.60
Therefore, the amount owed after 4 years would be $2581.60.
The ratio of newspapers to magazines at the corner store is 9 to 5. Which combination of newpapers and magazines could the corner store have?
Answer:
9 newspapers and 5 magazines
18 newspapers and 10 magazines
27 newspapers and 15 magazines
36 newspapers and 20 magazines
45 newspapers and 25 magazines
54 newspapers and 30 magazines
63 newspapers and 35 magazines
72 newspapers and 40 magazines
81 newspapers and 45 magazines
90 newspapers and 50 magazines
Step-by-step explanation:
You basically just have to follow this formula
9x newspapers and 5x magazines
x can equal literally any positive integer you want!
just make sure you multiply the 9 and the 5 by the same numebr to keep the ratio the same!
What is the x-intercept of 2x y =- 4?
The x-intercept will be -2.
Now, According to the question:
How do you find the x-intercept?
To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y.
Here the equation is 2x-y = -4.
For finding the x-intercept
let us put the value of y as 0 we get,
2x−0=−4
⇒2x=−4 .
Dividing both sides by 2 we get,
2x2=−4/2⇒x=−2 .
Therefore, the x-intercept is -2.
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What happens when you add 1/3 to negative 1/3?
Answer:
0
Step-by-step explanation:
The answer is 0 because 1/3 cancel out the negative 1/3
Suppose the average yearly salary of an individual whose final degree is a master's is $ 41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $ 109 thousand. Find the average yearly salary of an individual with each of these final degrees.
Suppose the average yearly salary of an individual whose final degree is a master's is $ 41 thousand less than twice that of an individual. the average yearly salary of an individual with each of these final degrees is: $50,000 (Bachelor's degree) and $59,000 (Master's degree )
How to find the average yearly salary?Let x represent the average yearly salary of an individual with the bachelor's degree
Let (2x-41000) represent the average yearly salary of an individual with the master's degree
Let the sum of these salaries = 109000
So, x + (2x-41000) = 109000
Simplify and solve:
3x = 109000 + 41,000
3x = 150,000
Divide both side by 3x
x= 150,000/3
x = 50,000 (Bachelor's degree)
So,
(2x-41000)
= 2(50,000) - 41,000
=100,000 - 41,000
= $59,000 (Master's degree )
Therefore the average yearly salary is $50,000 (Bachelor's degree) and $59,000 (Master's degree )
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What is the rule for an acute triangle?
Answer:
it must be less than 90 degrees
y = (x + 2)(x − 3)
Find the zero of the function
Answer:
The zeros are {-2, 3}
Step-by-step explanation:
Set each of these factors equal to zero, in turn, set each factor = to 0 and solve the resulting equation for x:
x + 2 = 0 yields x = -2;
x - 3 = 0 yields x = 3
The zeros are {-2, 3}