Answer:
√34
Step-by-step explanation:
To find the distance between two points, you can use the distance formula, which is:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
We can plug in the points (3, 7) and (-2, 10) to get:
d = √[(-2 - 3)^2 + (10 - 7)^2]
We can simplify.
d = √[(-5)^2 + (3)^2]
d = √(25 + 9)
d = √(34)
d = √34
Solve Similar Triangles (advanced)
Solve for X.
Given:
[tex]m\angle B=90^\circ, m\angle D=90^\circ, AB=x, BD=9, BC=1, DE=5[/tex].
To find:
The value of x.
Solution:
In triangles ABC and ADE,
[tex]\angle B\cong \angle D[/tex] (Right angles)
[tex]\angle A\cong \angle A[/tex] (Common angles)
[tex]\Delta ABC\sim \Delta ADE[/tex] (AA property of similarity)
We know that the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{AB}{AD}=\dfrac{BC}{DE}[/tex]
[tex]\dfrac{x}{x+9}=\dfrac{1}{5}[/tex]
On cross multiplication, we get
[tex]5x=x+9[/tex]
[tex]5x-x=9[/tex]
[tex]4x=9[/tex]
[tex]x=\dfrac{9}{4}[/tex]
[tex]x=2.25[/tex]
Therefore, the value of x is 2.25 units.
The price of a cell phone call costs $4.35 for 3 minutes. How much would a 20-minute call cost?
Answer:
29 dollars
Step-by-step explanation:
first find the cost for one minute
4.35/3 = 1.45$ per minutes
1.45 x 20 = 29 dollars
Mr. Hurd's son Kaden baseball team won 13 games during the spring season of 2020. They won 17 games during the fall season of 2020. What was the percent of increase in games won? Round to the nearest tenths.
Answer:
30.8% increase.
Step-by-step explanation:
17 - 13 |13| * 100% = 4 13 * 100 = 30.8%
I hope this helped you!
Which postulate or theorem can be used to prove
AABD ACBD?
F. Side-Angle-Side
G. Angle-Side-Angle
H. Side-Side-Side
J. Angle-Angle-Side
K. The triangles are not congruent.
Answer:
F. side-angle-side
Step-by-step explanation:
the answer is F because side AB is congruent to CB (side)
the angle is given that m<ABD is 90 degrees which also means m<CBD is also 90 degrees. (angle)
segment BD is a reflexive property (side)
How do you find mass using FG?
To find the mass of an object, one can use the formula (Force x Distance) / Gravitational Constant (FG). This formula involves multiplying the force applied to an object by the distance it moves, and then dividing the result by the gravitational constant (FG). The resulting number is the mass of the object in kilograms.
Mass can be found by using the formula (Force x Distance) / Gravitational Constant (FG).
For example, if a force of 10N is applied to an object that is moving 2 meters, the mass of the object can be calculated as follows:
Mass = (10 N x 2 m) / FG
Mass = 20 / 9.8
Mass = 2.04 kg
Finding mass using the force-distance formula (FG) is a simple process. To use it, one needs to know the force applied to an object, the distance it moves, and the gravitational constant (FG). The force and distance values can be measured or calculated depending on the situation. The gravitational constant is a fixed number and is equal to 9.8 m/s2. To calculate the mass, one needs to take the force multiplied by the distance and then divide it by the gravitational constant (FG). The resulting number is the mass of the object in kilograms. This formula is useful for calculating the mass of objects in a variety of situations. It is also useful for verifying the mass of an object that has already been measured.
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Last week, 188 students went to a museum. All 4 buses were full and 8 students had to ride in cars. How many students rode on each bus?
Answer: 45
Step-by-step explanation:
What is the answer to 2/5 of 60?
Answer: 24
Step-by-step explanation:
2/5 times 60 = 24
of means to multiply.
During free time yesterday, 7 preschoolers chose to draw, and 7 preschoolers chose to do other activities. Based on past data, if 20 preschoolers are at school today, how many should you expect to draw?
Answer:
Step-by-step explanation:
The vote goes half and half: 7 draw, 7 other activities.
Half and half of 20 students works out to 10 draw, 10 engage in other activities.
7 ⋅ 3 + 8 ⋅ 2 since its to short am gonna put this hi
Answer:
the answer is 37
Step-by-step explanation:
What is a equivalent ratio
Answer:
Step-by-step explanation:
In ratio and proportion , when we compare two ratios or we can say two fractions then they are said to be equivalent when both of them are same.
Alex has five cups of strawberries. He wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Does Alex have enough strawberries to make both recipes? Solve this problem any way you choose. Grade 5
Alex has five cups of strawberries and wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Alex has enough strawberries to make both recipes.
To check if Alex has enough strawberries, we add the amount of strawberries needed for the fruit salad (1 3/4 cups) and the amount needed for the jam (3 1/2 cups)
1 3/4 cups + 3 1/5 cups
= 1 + 3/4 + 3 + 1/5
Multiplying 3/4 with 5/5 and 1/5 with 4/4 to make denominator equal
= 1 + 15/20 + 3 + 4/20
= 4 + 19/20
= 4 19/20 cups
4 19/20 is less than 5 cups. So Alex has enough strawberries for both recipes.
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I don’t know this question
The phrase b2 - 4ac is referred to as the discriminant for the quadratic equation ax2 + bx + c = 0.
What is a discriminant formula?The phrase b2 - 4ac is known as the discriminant for the quadratic equation ax2 + bx + c = 0. How many roots f(x) has is shown by the discriminant's value: - The quadratic function has two unique real roots if b2 - 4ac > 0 A repeated real root exists in the quadratic function if b2 - 4ac = 0.
D=b2 - 4ac, discriminatory
The constant term c.
In mathematics, a discriminant is a parameter of an object or system that is calculated to help with its classification or solution. For the cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc 4b3 4a3c 27c2, while the discriminant for the quadratic equation ax2 + bx + c = 0 is b2 4ac.
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A boat is traveling due east for 130 miles. The boat travels another 72 miles at a bearing N38E. Determine the distance, direction angle, and bearing of the boat from its original location.
The distance and bearing of the boat from its original location are about 183.33 miles, N71.97°E
What is the bearing of a location?A bearing is a description of the amount by which a north or south headed line is deflected in the eastern or western direction.
The initial direction in which the boat is traveling = Due east
The distance the boat travels in the direction due east = 130 miles
The distance the boat travels in the direction N38°E = 72 miles
Therefore;
The distance the boat has traveled from its original location is found using the law of cosines as follows;
The included angle between the 130 miles distance the boat travels east and the 72 miles distance the boat travels N38°E = 90° + 38° = 128°
Let d represent the distance of the boat from its original location, we get;
d² = 130² + 72² - 2 × 130 × 72 × cos(128°) ≈ 33609.1828181
d ≈ √(33609.1828181) ≈ 183.33
The distance of the boat from its original location is about 183.33 miles
Let the angle formed by the direction of the boat to its destination and the path the boat travels east, according to the law of sines, we get;
183.33/(sin(128°) ≈ 72/(sin(B))
(sin(B)) ≈ 72 × (sin(128°))/183.33
m∠B ≈ arcsin(72 × (sin(128°))/183.33) ≈ 18.03°
The bearing of the boat from its original location is; N(90° - 18.03°)E = N71.97°E
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If 23 jugs of water fills 184 cups how many cups will fill one jug show your math
Answer:
To find out how many cups a single jug of water fills, you can divide the total number of cups filled by the number of jugs:
184 cups / 23 jugs = <<184/23=8>>8 cups/jug
This means that one jug of water fills 8 cups.
Step-by-step explanation:
Homework please help
Answer:
A
Step-by-step explanation:
[tex]y = \frac{9}{4}x - 8 \\\\y = \frac{9}{4}x +\frac{9}{4} \\\\\frac{9}{4}x - 8 = \frac{9}{4}x +\frac{9}{4}\\\\-8 = \frac{9}{4}\\[/tex]
This equation is incorrect, therefore there are no solutions.
There are 45 coins consisting of nickels and dimes. If the total value of the coins is $3.75, how many nickels are there?
A 10
B 12
C 15
D 22
Answer:
15 nickels
Step-by-step explanation:
Choose variables: n = number of nickels, d = number of dimes.
There are two pieces of information given:
There are 45 coins, so n + d = 45.
The total value is $3.75 (let's use cents in order to avoid decimals), so
5n + 10d = 375
Solve the first equation for d by subtracting n from both sides.
d = 45 - d
Substitute this expression for d in the value equation:
5n + 10(45 - n) = 375 See? The only variable is now n!
Distribute the 10 (multiply).
5n + 450 - 10n = 375
450 - 5n = 375
-5n = -75
n = 15
There are 15 nickels.
please look at the pic and help im desperate
Answer:
c
Step-by-step explanation:
How do you graph the equation y = 1x / 2 + (-5)
To graph the equation y = 1x / 2 + (-5), you will need to plot several points that satisfy the equation and then connect them with a line.
To do this, you can pick a few values of x, substitute them into the equation to find the corresponding values of y, and then plot these points on the coordinate plane.
For example, if you choose x = -2, the corresponding value of y is (-2) * (1 / 2) + (-5) = -5.5. If you choose x = 0, the corresponding value of y is (0) * (1 / 2) + (-5) = -5. And if you choose x = 2, the corresponding value of y is (2) * (1 / 2) + (-5) = -4.
You can then plot these points on the coordinate plane and connect them with a line to graph the equation.
Im really sorry that I was unable to provide a picture. I hope this helped!
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
1/2
y-intercept: (0,−5)
x y
0 −5
2 −4
Step-by-step explanation:
Can someone answer one of my questions for once 50 pts
x=12
Step-by-step explanation:L||M means L will be parallel to M.
Two lines are parallel if their corresponding angles are the same.
Corresponding angles are shown below.
As the two angles given are corresponding, L||M when x+5 = 2x-7.
x+5 = 2x-7
x = 12
Therefore, the value of x which makes L||M is 12.
Answer:
x = 12
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ x + 5 = 2x - 7
Then the value of x will be,
→ x + 5 = 2x - 7
→ x - 2x = -7 - 5
→ -x = -12
→ [ x = 12 ]
Hence, the value of x is 12.
Volleyball practice is h hours long. Debbie had 3 volleyball practices last week. Choose the expression that shows the number of hours of practice.
The number of hours of practice is 3 x h or 3h.
What is the number of hours of practice?In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.
Given:
Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.
Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.
The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.
Number of hours of practice
= hours of practice x number of practice
= 3 x h
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How much food can this container hold? Express your answer in terms of pi.
You have 50 coin that worth $8. 25. You have dime, quarter and nickel. The number of quarter i 5 more than twice the number of nickel. How many dime, quarter and nickel do you have individually
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A 28 foot ladder is propped against a wall. The base of the ladder is 19 ft from the wall how far up the wall does the ladder go
Answer:
20.6
Step-by-step explanation:
The problem can be solved by applyPythagoreanean theory
a^2+b^2= c^2
19^2 + b^2= 28^2
361 + b^2= 784
b^2= 784-361
= 423
b= √423
= 20.6
What is the value of x?
Enter your answer in the box.
x =
Answer:
x=5
hope it helps
if u want to check use Pythagoras theorem
How do I find prime factorization?
Answer:
One way is to make a factor tree. She below for examples.
Step-by-step explanation:
Answer:
You basically just count jumps of that number
How many hours of tv do the people in your town watch each day? is this a statistical question yes or no?
Answer and Step-by-step explanation:
Yes, this is a statistical question.
Because it is asking the amount of hours of television people in a town watches every day, so it would be a ratio of hours per day for tv.
#teamtrees #PAW (Plant And Water)
Help me with expressions!
I really need help this is a starr revieww
Answer:
B, because dividing is the same thing as multiplying by the reciprocal
Step-by-step explanation:
Find the length of the side C in the triangle ABC where a=4.7 b=10.21 and ACB=105.3
9514 1404 393
Answer:
(d) 12.3
Step-by-step explanation:
From the Law of Cosines, you can solve for c:
c = √(a² +b² -2ab·cos(C)) = √(22.09 +104.2441 -95.974cos(105.3°))
c ≈ √151.659 ≈ 12.31499
Side c is about 12.3 units long.
which of the following can be added without altering any of the fractions?
a. 3x/x-1 + 8/x-1
b. 6x+1/4x-8 + 1/4x+1
c. 6x/x+6 + 6x/x-6
d. 6x/x-7 + x-7/6x
Answer:
a
Step-by-step explanation:
[tex]\frac{3x}{x-1}[/tex] + [tex]\frac{8}{x-1}[/tex]
These fractions have a common denominator and so do not require to be altered.
The numerators can be added to simplify, that is
= [tex]\frac{3x+8}{x-1}[/tex]
The remaining fractions have different denominators and would require to be altered before they could be added.