Answer:
2000
Step-by-step explanation:
Can more than one triangle be drawn with side
lengths of 4 centimeters and 2 centimeters and
an included angle of 50°? Explain.
Answer: No .
Step-by-step explanation:
If we make two triangles with lengths of 4 centimeters and 2 centimeters and an included angle of 50°, then by SAS congruence postulate both triangle will be congruent.
According to the definition of congruence , if two shapes are congruent then they have equal size and shape.
i.e. they look exactly same.
It means only one triangle is possible with the given measurement .
SAS congruence rule : It says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then we can say that these two triangles are congruent.No, only one triangle can be drawn with side lengths of 4 centimetres, 2 centimetres, and an included angle of 50°.
To determine if more than one triangle can be drawn with given side lengths and an included angle, we can use the Side-Angle-Side (SAS) congruence postulate.
According to this postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Given:
One side length is 4 cm (side a).
Another side length is 2 cm (side b).
The included angle between these two sides is 50° (angle C).
Using the Law of Cosines, we can find the length of the third side (side c) of the triangle. The Law of Cosines states that for any triangle with sides a, b, and c, and the angle opposite side c being the following equation holds: [tex]\[ c^2 = a^2 + b^2 - 2ab \cos(\gamma) \][/tex]
Substituting the given values:
[tex]\[ c^2 = 4^2 + 2^2 - 2 \cdot 4 \cdot 2 \cdot \cos(50^\circ) \][/tex]
[tex]\[ c^2 = 16 + 4 - 16 \cdot \cos(50^\circ) \][/tex]
[tex]\[ c^2 \approx 20 - 16 \cdot 0.6428 \][/tex]
[tex]\[ c^2 \approx 20 - 10.2848 \][/tex]
[tex]\[ c^2 \approx 9.7152 \][/tex]
[tex]\[ c \approx \sqrt{9.7152} \][/tex]
[tex]\[ c \approx 3.118 \text{ cm} \][/tex]
Hence, the answer is no; only one triangle can be drawn with side lengths of 4 centimetres, 2 centimeters, and an included angle of 50°.
Norma has 9 pies to divide among 4 friends. How many pies will each friend receive if all of the pies must be used and can be divided into smaller parts? A. 2/9 pie B. 4/9 pie C. 1 1/4 pies D. 2 1/4 pies
Answer:
D. 2 1/4
Step-by-step explanation:
Answer: D: 2 1/4
Step-by-step explanation:
Mark me 5 star pls
Find the 11th term of the sequence 1, 16, 31, 46,...
Answer:
11th term is 151
Step-by-step explanation:
a+(n-1)d
a=1
n=11
d=15
11th term=1+(11-1)15
11th term=1+(10)15
11th term=1+150
11th term=151
A rectangle has dimensions 3x-1 and x+6. Write an expression for the area of the rectangle as a polynomial in standard form
The expression for the area of a rectangle with dimensions (3x-1) and (x+6) is obtained by multiplying these dimensions, resulting in the quadratic expression 3x² + 17x - 6.
Explanation:The dimensions of the rectangle given here are (3x-1) and (x+6). The area of a rectangle can be calculated using the formula length x width. Thus, to obtain an expression for the area of the rectangle, multiply the length (3x-1) by the width (x+6). This results in the expression (3x² - x + 18x - 6). Simplifying this expression, we get 3x² + 17x - 6 as the area of the rectangle in polynomial form, which is a quadratic expression.
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Final answer:
The area of the rectangle with dimensions 3x-1 by x+6 is given by the polynomial 3x² + 17x - 6 in standard form.
Explanation:
To find the expression for the area of the rectangle given the dimensions 3x-1 and x+6, we need to multiply the length by the width. The area A is given by the formula A = length × width, thus:
A = (3x - 1)(x + 6)
Distribute the terms to obtain the polynomial:
A = 3x(x) + 3x(6) - (x) - (6)
Simplify and combine like terms to express in standard form:
A = 3x² + 18x - x - 6
A = 3x² + 17x - 6
Therefore, the expression for the area of the rectangle, written as a polynomial in standard form, is 3x² + 17x - 6.
150% of 48 as a percent
Answer:
72, 150%
Step-by-step explanation:
The answer for this is 72.
Change 150 to 1.50 and multiply it by 48
A circle has a diameter of 40 in. Find the circumference of the circle to the nearest tenth. Use 3.14 for pi .
Group of answer choices
D. 1133.5 in.
A. 31.4 in.
C. 283.4 in.
B. 62.8 in.
Answer: something is wrong circumference is solved by pi times the diameter or pi times the radius times 2
40 x 3.14 = 125.6
Step-by-step explanation:
Sorry man
Final answer:
The circumference of a circle with a diameter of 40 inches using 3.14 for pi is 125.6 inches, rounded to the nearest tenth.
Explanation:
The student's question is asking for the circumference of a circle with a given diameter using 3.14 for π (Pi). According to the relationship between the diameter and the circumference of a circle, the circumference (C) can be found by multiplying the diameter (d) by π. The formula for the circumference is thus C = πd.
In this case, the diameter is given as 40 inches. Therefore, we calculate the circumference as follows:
C = πdC = 3.14 × 40 inC = 125.6 inSince we are asked to round to the nearest tenth, the circumference of the circle is 125.6 inches.
What is an equivalent mixed number for 5 2/6
Answer: 32/6
I hope this answer helps!
Answer: 5 1/3
Step-by-step explanation:
Step 1: change to a proper fraction to give 32/6
Step 2: minimize the fraction part by dividing the numerator and denominator by 2
=5 1/3
What is the solution of x^2-1/x^2+5x+4<_0
Answer:
[tex]\frac{x}{(x-1)(x+4)}[/tex]
Step-by-step explanation:
from what i can read and understand the equation is:
[tex]\frac{x^{2-1} }{x^{2+5x+4} }[/tex]
If I'm correct then [tex]\frac{x}{(x-1)(x+4)}[/tex] Would be your answer
And all you have to do is simplify the Expression
Hopefully this Helps
Riley used this graph to compare two movie-rental plans.
Choose the three statements that are true about the graph.
The 3 statements that are correct about the graph are:
1. "Plan A offers fewer movies than Plan B for monthly costs greater than 20$"
2. "The two plans cost the same for 10 movies per month"
3. "The two plans offer the same number of movies for 20$ a month."
What is the plan about?In terms of the above, the graph shows Plan A's line is consistently lower than Plan B's before the equilibrium point. Hence, statement 1 is true.
From the image, one can locate where Plan A and Plan B intersect on the graph at around 10 movies per month, as both plans cost the same. So when you follow the line to the cost axis, Plan A and Plan B have the same monthly cost so statement 2 is true.
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See text below
PLEASE HELP ME ASAP!!!!!
Riley used this graph to compare two movie-rental plans.
Choose the three statements that are true about the graph
Plan A offers fewer movies than Plan B for monthly
costs greater than $20.
Plan A costs more than Plan B for fewer than 10
movies per month
The two plans cost the same for 20 movies per
month.
Monthly Cost (5)
Plan A
(10,20)
Plan B
Number of Movies Rented
Plan A costs less than Plan B for fewer than 20
movies per month.
The two plans cost the same for 10 movies per
month.
The two plans offer the same number of movies for
$20 a month
Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the drop-down menus to complete the statements below about the paddleboard rentals.
Solution:
Given that,
Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours
Each paddleboard rental costs $3.75 per hour
So there are two persons = mike and his friend
1 hour = $ 3.75
Therefore, for 3 hours:
[tex]3 \times 3.75 = 11.25[/tex]
Thus for two person:
11.25 + 11.25 = 22.5
Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours
Remaining amount = 25 - 22.5 = 2.5
Thus Mike has $ 2.5 remaining after rental
Answer:
.
Step-by-step explanation:
Write an equation in slope intercept form for the line with slope 1/5 and y intercept -2
Equation is y = 1/5x - 2
Step-by-step explanation:
Step 1: Given slope, m = 1/5 and y-intercept, b = -2. Write the equation in slope intercept form which is y = mx + b⇒ y = 1/5x + (-2)
∴ y = 1/5x - 2
On which of the following lines does the point 7, 1 lie?
A. Y-5x = 4
B. Y = x- 10
C. Y = -4x +3
D. Y= -x +8
Answer:
the answer is D
Step-by-step explanation:
x is 7 and y is 1 . just replace the x and y with 7 and 1 , so its 1= -7+8
Answer: y=-x+8
Step-by-step explanation: When 1 is plugged in as x for another equation, y is not equal to 7. However, when you plug 1 in here, you get y equal to 7. Therefore, this is the solution.
I need help with my homework can anyone help me please?
Answer:
For 14 from left to right should be 11 10 10 9 8 6. For 15 is wrong because 4 people jumped 3 feet and 3 people jumped 4 feet
A fire hydrant 2.5 feet high casts a 5 foot shadow. How tall is a street light that casts a 26 foot shadow at the same time?
Here we know the following data:
A fire hydrant 2.5 feet high casts a 5 foot shadow. A street light that casts a 26 foot shadowSo we want to know the height of the street light. Below you have the representation of this problem. We can solve this using proportions because triangles ABC and DEF are similar, so:
[tex]\frac{h}{26}=\frac{2.5}{5} \\ \\ \frac{h}{26}=\frac{1}{2} \\ \\ h=26\times\frac{1}{2} \\ \\ h=13[/tex]
Finally, the height of the street light is 13 ft
I need help with this ASAP
From the options , [tex]4x + 28[/tex] is equivalent to only [tex]4(x+7)[/tex] & [tex]4.x+ 7.4[/tex] and [tex]14+16y-3-y[/tex] is equivalent to only [tex]15y+11[/tex] & [tex]11+15y[/tex] .
Step-by-step explanation:
We have 2 expressions for which we need to check which expression can be further simplified or is equivalent to the same. Lets consider :
Question 1:
[tex]4x + 28[/tex] is given equation, Now we will simply this as :
⇒[tex]4x+28[/tex]
⇒[tex]4(x+7)[/tex]
⇒[tex]4.x+ 7.4[/tex]
From the options , [tex]4x + 28[/tex] is equivalent to only [tex]4(x+7)[/tex] & [tex]4.x+ 7.4[/tex] .
Question 2:
[tex]14+16y-3-y[/tex] is given equation, Now we will simply this as :
⇒[tex]14+16y-3-y[/tex]
⇒[tex]15y+11[/tex]
⇒ [tex]11+15y[/tex]
From the options , [tex]14+16y-3-y[/tex] is equivalent to only [tex]15y+11[/tex] & [tex]11+15y[/tex] .
In a game that you are playing, your friends says that she has -6 points“give or take”4 points.You currently have -3 points in the game.can you say who is winning?why or why not? Use a number line to explain.
Answer:
Your are losing
Step-by-step explanation:
-6 + 4 = -2 points
-3 = -3
-2 > -3
Answer:
No
Step-by-step explanation:
She has -6 points,
And you have -3
If she takes points from you:
She has -6+4 = -2
You have-3-4 = -7
She wins
If she gives you 4 points:
She had -6-4 = -10
You have -3+4 = 1
You win
Find the area of each circle. Use 3.14 forp
12 cm,
The area of the circle is 113.04 cm²
Step-by-step explanation:
The given information are,
The diameter of the circle = 12 cmThe diameter must be converted into radius.Radius = diameter / 2
Radius = 12/2 = 6 cm
Now, the formula for area of the circle is given by πr²
where,
r is the radius of the circle.π has the default value 3.14To calculate the area of circle :
Substitute r=6 and π=3.14,
Area of the circle = (3.14) × (6²)
⇒ 3.14 × 36
⇒ 113.04 cm²
The area of the circle is 113.04 cm²
Answer:
113.04 cm²
Step-by-step explanation:
x-4/30x^2y^3 + x-4/30x^2y^3
Answer:
[tex]\frac{x-4}{15x^2y^3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-4}{30x^2y^3}[/tex] + [tex]\frac{x-4}{30x^2y^3}[/tex]
Since the denominators are common, add the numerators leaving the denominator.
= [tex]\frac{x-4+x-4}{30x^2y^3}[/tex]
= [tex]\frac{2(x-4)}{30x^2y^3}[/tex]
Cancel the 2 and 30 by 2 on the numerator/ denominator, leaving
= [tex]\frac{x-4}{15x^2y^3}[/tex]
what is the product of the rational expressions shown below ? make sure your answer is in reduced form
Answer:
D
Step-by-step explanation:
Given
[tex]\frac{x+2}{x-5}[/tex] × [tex]\frac{8x}{x+2}[/tex] ← cancel the common factor x + 2 on the numerator/ denominator
= [tex]\frac{8x}{x-5}[/tex] → D
Type a coefficient with integer coefficients and a leading coefficient of 1. Zeros: -3,-1,1,5; degree:4
Answer:
I may not be right, because I didn't get the context of the question, but my answer is:
[tex]y=x^{4}+8x^{3}+14x^{2}-8x-15[/tex]
Can you help me with this problem
7y-2(8y+1)=4
Answer:
y=-2/3
7y-16y-2=4
7y-16y=6
-9y=6
-y=6/9
simplify
y=-2/3
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.
If John pays for 12 weeks of guitar classes from his account, his account balance will be?
Answer:-47.5
Step-by-step explanation:
Step 1:Find out how much 12 week of guitar is 15*12=180.
Step 2:Subtract 180 from 132.55 132.55-180+-47.5.
Step 3:Answer -47.5.
HELPPPP me this shyt annoying me lol
Answer:
Angle A is 80 degrees
Step-by-step explanation:
What is the area around the fence if it’s 6 around and 7 length
Answer:
42
Step-by-step explanation:
The formula for area is length multiplied by width
7 X 6 = 42
hope this helps :)
Find the answer to
SHOW YOUR WORK!
(pls help with dis)
-2x – 6 = -6x – 2
Answer:
x = 1
Step-by-step explanation:
For this type of equation, you want to combine all like terms. So you can combine the x and the constants. So
-2x - 6 = -6x - 2
+6x +6x
---------------------------
4x - 6 = -2
+6 +6
-----------------
4x = 4
4 multiplied by what number is 4? well 1 so x = 1
adam wants to know the mean number of minutes students commuting back and forth to school each day. he selects a sample of 5 students using the random digit table beginning on line 12 shown.
Line 12: 29621 66583 62966 12468 20345 14015 04014 35713 03980 03024
A. What is the sample size?
B. Adam assigns each student a two digit number beginning with 12 and ending with 30. Which students are chosen for the sample?
Answer:
A. 5
B. 29, 16, 24, 20, and 15
Step-by-step explanation:
The sample size is 5.
Each student is assigned a two digit number, so split the random digit table into two digit numbers.
29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24
Identify the first 5 unique numbers between 12 and 30.
29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24
A spherical ball has a radius of 1.5 in. Find the exact and approximate volumes of the ball. Use 3.14 for π and round to the nearest hundredth to find the approximate volume.
Enter your answers in the boxes.
Answer:
V = 14.14in^3
Step-by-step explanation:
Use the formula V = 3/4πr^2 to get the volume of a sphere
Substitute r for 1.5 in
V = 3/4π(1.5)^2
V = 14.137166941154in^3
Round to the nearest hundredth to find the approximate volume
V = 14.14in^3
A carrot has 5 grams of sugar per serving.
A banana has 15 grams of sugar per serving.
Which statement is true?
CLEAR CHECK
There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.
For an equal number of servings, the bananas will always have 10 more grams of sugar.
For an equal number of servings, the bananas will have three times as much sugar.
The amount of sugar in two servings of carrots is 30 grams.
Answer:
C. For an equal number of servings, the bananas will have three times as much sugar.
Step-by-step explanation:
This is because the amount of sugar will change proportionally with the number of servings, so the ratio of sugar in bananas and in carrots will stay the same as long as the serving size is equal. For example, three servings of bananas would have 45 grams of sugar and 3 servings of carrots would have 15 grams of sugar. If you divide these you will still get a ratio of 1/3, which makes this statement true. Hope this helps! :)
Trayvon weighs 142 lb. Multiply his way on Earth by 0.92 to find his way on the planet Saturn. What is the difference between Trayvon's way on Earth and his weight
on Saturn?
Answer:
11.36 lb
Step-by-step explanation:
His weight on earth is 142 lb
Weight on saturn =0.92*142=130.64
Difference in weight is 142-130.64 =11.36 lb
The number 0.936 rounded to the nearest whole number is
Answer:
1
Step-by-step explanation:
Cause 9 is larger than 5 so the 0 is rounded to one
Answer:
1
Step-by-step explanation:
The digit behind the ones place is a 9, so you would round the number up to 1.
Can I please get Brainliest? I haven’t had it yet AT ALL.
Have a good day!