Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4 ) ← 2 points on the line
m = [tex]\frac{4-0}{1-0}[/tex] = [tex]\frac{4}{1}[/tex] = 4
HURRY!!
In an isosceles triangle, the measure of a base angle is 65º. Find
the number of degrees in the measure of the vertex angle.
Answer:
Your answer is 50 degrees.
Step-by-step explanation:
An isosceles triangles base angles are equal.
A triangle's angles add up to be 180 degrees.
65+65+x = 180
130+x = 180
x = 50
Vertex angle is 50⁰.
What are triangles?A closed two-dimensional figure with three sides, three angles, and three vertices is called a triangle. The smallest polygon with the fewest sides is the triangle. A triangle can be divided into three categories based on its sides:
Scalene Triangle: Each side measures differently.
Isosceles Triangle - Different sides of a triangle are of a similar measure and the excess side has an alternate measure.
An equilateral triangle has three sides that are all the same size.
Given an isosceles triangle,
measure of base angle = 65⁰
in an isosceles triangle two angles are equal and sum of all the angles is 180⁰, the equal angles are called base angle;
let vertex angle be x , according to triangle property
sum of all the angles is 180⁰,
base angle + base angle + vertex angle = 180
65 + 65 + x = 180
x = 180 - 130
x = 50⁰
Hence the the measure of the vertex angle is 50⁰.
Learn more about triangles;
https://brainly.com/question/2773823
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Look at the parallelogram pictured in Figure 1. What is the area of the
parallelogram?
Answer:
45m²
Step-by-step explanation:
=> Area = base × height
=> A = 5m × 9m
=> A = 45m²
need help on question 26
Answer:
y = 2x - 3.
Step-by-step explanation:
26, The slope is 2 and y-intercept is -3
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?
Answer:
27 tiles
Step-by-step explanation:
First, find the total area of the kitchen.
Use the area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sq ft
Find the area of the square tiles, using the same formula:
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sq ft
Find how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, they will need to buy 27 tiles
Answer:
27 tilesTo find the total area of the kitchen.
We know,area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sqft
NowTo find the area of the square tiles
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sqft
AtlastFind how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, Tiles Needed= 27
Hope This Helps You ❤️Mr. Jones surveyed his class to find out how many students feel that Math is their favorite subject. Based on these results, how many students would say that Math is their favorite subject if he asked all 150 students in the 6th grade class.
Answer:
im not sure
Step-by-step explanation:
I remember doing this but i forget
What is the probability of a customer buying a vegetable that is not an onion at this store?
79%
81%
90%
19%
The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 5. If Geoffrey used 20 cups of water, how many cups of orange juice concentrate did he use?
Answer: 8 cups
Step-by-step explanation:
Let the cups of orange juice concentrate that he used be represented by x.
Therefore, based on the information, we can form an equation which will be:
2/5 = x/20
Cross multiply
5 × x = 2 × 20
5x = 40
x = 40/5
x = 8
Therefore, he used 8 cups of orange juice concentrate.
A rep hockey team has two goalies. Goalie A has a save percentage of 0.92 and Goalie B has a save percentage of 0.89. If goalie A plays 75 percent of the games and goalie B plays 25 percent of the games then: a) Determine the probability that a save has been made by either goalie A or goalie B. b) If a save has been made, what is the probability that is was goalie A? c) If a goal was let in, what is the probability it was goalie B?
Answer:
a) 0.9125
b) 0.756
c) 0.314
Step-by-step explanation:
The save percentage of Goalie A = 0.92
The save percentage of Goalie B = 0.89
The percentage of the games Goalie A plays = 75 percent
The percentage of the games Goalie B plays = 25 percent
a) The probability that a save has been made by either Goalie A or Goalie B
Therefore we get;
The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69
The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225
For mutually exclusive events, we have;
P(A) or P(B) = P(A) + P(B)
∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125
The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125
b) Where there are 10,000 attempts, made evenly in all games, we have;
The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500
The number of saves Goalie A makes = 0.92 × 7,500 = 6,900
The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000
The number of saves for 10,000 attempt = 9,125
∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756
c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;
P(Goal B) = 2,500 - 2,500 × 0.89 = 275
The number of goals let in by Goalie A, we have;
P(Goal A) = 7,500 - 7,500 × 0.92 = 600
Therefore, the total number of goals let in = 300 + 275 = 875
The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.
Alfred paid $36,187.89 for his new car. If he took out a loan and was given a 3.15 % interest rate compounded semi-annually for ó years, how much did he borrow? Round your answer to the nearest whole number.
Answer:
[tex]A = P(1+\frac{r}{n})^{nt}\\\\[/tex]
A = 36187.89
r= 3.15% = 0.0315
n = 2
t = 6
[tex]36187.89= P(1 + \frac{0.0315}{2} )^{2*6)[/tex]
[tex]36187.89 = P( 1+0.01575)^{12}\\\\P = \frac{36187.89}{1.01575^{12}} = 30000.0024[/tex]
Answer $30,000
How many solutions does the system have ?
Answer:
one
Step-by-step explanation:
althought the lines look parallel the
slope on the blue line is 1
slope on the red line is 3.5
therefor there is one solution
need help please to pass
Answer: None of the other answers are correct
Step-by-step explanation: Hope this help :D
Dana Wright operates an airport limousine service. He owns the limo and does his own driving. He values his driving time at $25 per hour. He pays a commission fee of $10 to the person who brings him the business. A trip to the airport takes three hours and uses $25 worth of gasoline. If Dana charges each customer $200, what is his contribution margin per unit of sale? How much does Dana make on each trip as a driver? As the owner of the business?
Determine the explicit formula for the following arithmetic sequence. Put it in the form
an
7, 12, 17, 22,...
What will the 30th term in the sequence be?
Answer:
Tn=5n+2
Step-by-step explanation:
Tn=5n+2
T30=5*30+2
T30=150+2
T30=152
Convert 12/5into a percent
Answer:
[tex]240\%[/tex]Step-by-step explanation:
[tex] \frac{12}{5} \: into \: percentage[/tex]into decimal form:
[tex]2.4[/tex]
[tex]2.4 \times \frac{100}{100} [/tex][tex] \frac{(2.4 \times 100)}{100} [/tex][tex] \frac{240}{100} [/tex][tex]240\%[/tex]
Hint:
[tex] \frac{100}{100} = 100 \div 100 = 100\% = 1[/tex][tex]p\% = \frac{p}{100} = p \div 100[/tex]Hope it is helpful...The graphs of linear functions fand g are shown on the grid.
which function best represented by the graph of g
Answer:
g(x) = 3f(x)
Step-by-step explanation:
We can see that for function g;
When x = 1, y = 3
When x = 2, y = 6
When x = -1, y = -3
When x = -2, y = -6
For function f;
When x = 1, y = 1
When x = 2, y = 2
When x = -1, y = -1
When x = -, y = -2
We can see that the output of g(x) is always 3 times that of f(x) for same values of x.
Thus;
g(x) = 3f(x)
(4rxt – 8r2x + x²) – (6rx² + 5rxt – 2x)
Find the sum or difference
Please help! I’m stuck and can’t figure it out
Answer:
[tex]sum = (4 - 5)rxt - (8 + 6) {rx}^{2} + (1 + 2)x \\ = - rxt - 14 {rx}^{2} + 3x \\ \\ difference = (4 + 5)rxt + (6 - 8) {rx}^{2} + ( - 2 + 1)x \\ = 9rxt - 2 {rx}^{2} - x[/tex]
[tex] \small{ \underline{{ \blue{becker}}}}[/tex]
SUPER CONFUSED! EXPLAIN PLS! EMERGANCY!
Answer:
73.12m²
Step-by-step explanation:
Okay, you can break this figure into a half-circle and a triangle, we're going to start with the triangle (using the handy formula sheet you have up there)
12 x 8 = 96
96 x ½ = 48
Now we do the semicircle (the formula for a circle is pi x radius² )
the radius is half of the diameter so:
8 ÷ 2 = 4
4² = 16
we're using 3.14 for pi so:
3.14 x 16 = 50.24
Now we'd normally stop there, but this is only a semicircle, so we have to chop it in half again:
50.24 ÷ 2 = 25.12
Now we add both of those together:
48 + 25.12 = 73.12
So the area of the figure is 73.12m²
hope this helps:)
Find BDC of the geometry question.
Answer:
∠ BDC = 54°
Step-by-step explanation:
The inscribed angle BDC is half the measure of its intercepted arc , so
∠ BDC = [tex]\frac{1}{2}[/tex] × 108° = 54°
In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow
Answer:
15/60 or 1/4, which is 25%
Step-by-step explanation:
a) Make t the subject of the formula
[tex]( \sqrt{t + 2) \div u = 1} [/tex]
When using the quadratic formula to solve 7x2 – 3x + 2 = 0, which number will be squared as part of the formula?
Answer:
The value of b will be squared
Step-by-step explanation:
Recall that the quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]
You will see that the only squared coefficient is b.
Find the value of x.
Answer:
46degrees
Step-by-step explanation:
Find the value of x.
Using the circle theorem which states that
The angle at the vertex is half the difference that at the intercepted arcccs
x = 1/2(152 - 60)
x = 1/2 (92)
x = 92/2
x = 46degrees
Hence the value of x is 46degrees
What is 5x-3 equal to
Answer:
-15
Step-by-step explanation:
Answer:
-15 hdbdudbdjsbakznzbzjzbzbz
Norma makes bags.
She makes 17 bags an hour.
Norma works for 6 hours each day, 5 days a week.
Each bag is checked.
If the bag is perfect, it is put in a box.
When there are 12 bags in a box it is full.
One week 90% of the bags Norma made were perfect.
Work out the number of boxes completely filled with bags made by Norma.
Answer:
38
Step-by-step explanation:
She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.
Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.
If there are 459 bags, and each box can hold 12, how many boxes will be full? Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.
38 boxes will be full, with 3 remainder bags.
Tanvi's favorite holiday activity is making gingerbread houses. She always uses 7 pieces of licorice to make a window. This year, Tanvi used 56 pieces of licorice for the windows on her gingerbread house. How many windows are on tanvi gingerbread house this year
y = kx
In the equation, what does "k" represent?
Answer: it’s the number that stays the same
Step-by-step explanation: ex. y = 24(6x)
Consider triangle ABC.
What is the value of y in the triangle?
С
809
Angle y =
B В
Answer:
50
Step-by-step explanation:
Meliah wants to make a gallon of punch. She uses 2 quarts of orange juice, 1 cup of lemon juice, and 2 1/2 pints of pineapple juice. How many cups of water should she add to make 1 gallon?
Answer:
2 cups of water
Step-by-step explanation:
Meliah wants to make a gallon of punch.
Note that
1 gallons = 16 cups
For Orange juice
She uses 2 quarts of orange juice,
1 quart = 4 cups
2 quarts = x
Cross Mulitiply
2 × 4 cups = 8 cups
For lemon juice
1 cup of lemon juice
For pineapple juice
2 1/2 pints of pineapple juice.
1 pint = 2 cups
2 1/2 pints = x
Cross Mulitiply
2 1/2 × 2 cups = 5 cups
Total number of cups
= 8 cups orange juice + 1 cup lemon juice + 5 cups of pineapple juice
= 14 cups
Hence, the number of cups of water she should add to make 1 gallon is calculated as:
16 cups - 14 cups
= 2 cups of water
Isabella is playing a board game. The probability that Isabella will lose a turn on her next turn is 11%. Which word or phrase describes the probability that Isabella will lose a turn?
Answer:
unlikely
Step-by-step explanation:
11% is closer to 0 than it is to 1/2. when something may occur, but significantly less than half of the time, we say it is unlikely
What is Harry's unpaid balance?
0 $74.89
O $89.89
O $112.50
0 $127.50
Answer:
what is harry unpaid balance
0$74.89