answer =-51/2,-11/2,-5.025,-✓25
-✓25=-5
-11/2=-5.5
-51/2=-25.5
-5.025
"The perimeter of a triangle is 294cm. The sides are x + 2, 2x + 3, and 3x + 1. Find the length of each side of the triangle."
Answer:
50cm, 99cm, 145cm
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides.
So
(x+2) + (2x + 3) + (3x + 1) = 294
Combine like terms
6x + 6 = 294
Subtract 6 on both sides
6x = 288
Divide 6 on both sides
x = 48
So the sides are
x + 2 = 48 + 2 = 50 cm
2x + 3 = 2(48) + 3 = 96 + 3 = 99 cm
3x + 1 = 3(48) + 1 = 145 cm
Checking, first:
50 + 99 + 145 = 194 cm
Plug in x = 48 to the original equation.
48 + 2 + 2(48) + 3 + 3(48) + 1 = 294
48 + 2 + 96 + 3 + 144 + 1 = 294
294 = 294
The lengths of the sides of the triangle are 50 m, 99 m, and 125 m.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
The sides of triangle are x + 2, 2x + 3, and 3x + 1.
Given that the perimeter of a triangle is 294 cm
Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.
So the perimeter of a triangle = sum of all sides
⇒ x + 2 + 2x + 3 + 3x + 1 = 294
⇒ 6x = 294 - 6
⇒ x = 288/6
⇒ x = 48
So the length of the first side = 2+48 = 50
So the length of the second side = 2(48 ) +3 = 99
So the length of the second side = 3(48) + 1 = 125
Thus, the lengths of the sides of the triangle are 50 m, 99 m, and 125 m.
Learn more about the perimeter of a triangle here:
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number of set values of (p,q), which satisfy relation p^2 = 2q^2 ( where p and q are natural numbers )
options:
(A) 1
(B) 0
(C) 2
(D) 3
(B) 0
We have
[tex]p^2 = 2q^2 \implies \dfrac{p^2}{q^2} = \left(\dfrac pq\right)^2 = 2[/tex]
but 2 is not a square number.
If measure of angle B is two more than three times the measure of Angle C, and Measure B and c are
complementary angles, find each angle measure
Write a proof. Given x = 2 = 3 (x - 4) Prove x = 5
Step-by-step explanation:
The equation in the question is false.
[tex]x - 2 = 3(x - 4)[/tex]
[tex]x - 2 = 3x - 12[/tex]
[tex]3x - x = 12 - 2[/tex]
[tex]2x = 10[/tex]
[tex]x = 10 \div 2[/tex]
[tex]x = 5[/tex]
Please help me with this problem
[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]
Answer:
Lies between 3&4
See THE IMAGE FOR SOLUTION
please help!!!!!!!!!! 25 points
Answer: 3.3 × 10⁹
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁴) × (1.1 × 10⁵)
Put like terms together
=3 × 1.1 × 10⁴ × 10⁵
Combine like terms
=3.3 × 10⁴⁺⁵
=[tex]\boxed{3.3*10^9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
3.3×10^9
Step-by-step explanation:
13)
According to Wikipedia, the common swift has a maximum horizontal speed of 111.6 km/h
Convert this speed to meters per second.
Speed in km/h=111.6km/h
[tex]\boxed{\sf 1km/h=\dfrac{5}{18}m/s}[/tex]
[tex]\\ \rm{:}\twoheadrightarrow 111.6km/h[/tex]
[tex]\\ \rm{:}\twoheadrightarrow 111.6\times \dfrac{5}{18}[/tex]
[tex]\\ \rm{:}\twoheadrightarrow \dfrac{558}{18}[/tex]
[tex]\\ \rm{:}\twoheadrightarrow 31m/s[/tex]
Answer:
31 m/sStep-by-step explanation:
We know that:
1 km = 1000 m1 h = 3600 sConvert:
111.6 km/h = 111.6 * 1000/3600 m/s =31 m/sThe total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.
Answer:
400cm²
Step-by-step explanation:
the surface area of the sphere =
4/3 x The total surface area of a hemisphere
=> 4/3 x 300 = 400cm²
Simplify.
18 2+6(4+1) -2
Answer:
[tex]1)18 \times 2 + 6(4 + 1) - 2 \\ = 36 + 6 \times 5 - 2 \\ = 36 + 30 - 2 \\ 36 + 28 \\ = 64 \\ \\ thank \: you[/tex]
Answer:
18×2+6(4+1)-2
= 36+6×5-2
= 36+30-2
= 66-2
=64
please answer this question
Answer:
The answer is 0.15372
Step-by-step explanation:
help will give brainliest
Answer:
2
Step-by-step explanation:
The slope is 2
{y = kx + m, k is the slope}
Im pretty desprate! HELP ASAP!!!
Step-by-step explanation:
What is the value of the expression when n = 3?
6 (n² + 2)
n
16
22
30
66
Answer: Fourth Choice. 66
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
n = 3
Given expression
6 (n² + 2)
Substitute values into the expression
=6 (3² + 2)
Simplify exponents
=6 (9 + 2)
Simplify values in the parentheses
=6 (11)
Simplify by multiplication
=[tex]\boxed{66}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} 6(n^2+2) = 6(3^2+2)=66[/tex]
Simplify: 61 –60 ÷ 2 [57 –3{12 ÷ 6 + 4 (8 –15 ÷ 3)}]
Answer:
I guess answer is 86. ...........
write an inequality that represents the graph
Answer:
x is less than or equal to 4. Not sure how you would type that out on the slide though. :\
Step-by-step explanation:
7n + 12 = 3n+ 8n
That’s the problem
Answer:
n = 3
Step-by-step explanation:
to find the value of n
we need to transpose
7n + 12 = 3n+ 8n
7n + 12 = 11n
12 = 11n -7n
12 = 4n
n = 12/4
n = 3
if ur trying to find the value of n then n=3
If 8.51÷2.3=3.7, find the value of 85.1÷ 2.3
Answer:
37
Step-by-step explanation:
85.1÷ 2.3
=> 85.1/2.3 [Removing the decimals]
=> 851/23
=> 37
help plss!! Directions: Translate into mathematical expressions. Example: The sum of three times a number and 10- (3n + 10)
pleasee do all of these problems now!! and i will mark u branliest if u get at least 4 of em right:)
1. Twelve less than z
2. Twice take the sum of x and y
3. Six less than four times a number
4. Twice the sum of v and 5
6. The average of test scores x and y
7. The cost of m kilograms of meat at $3.95 a kilogram
i need help with the top part
Answer:
1. (1, 2)
2. (-5, 7)
3. (-6, -5)
4. (0, -3)
Step-by-step explanation:
(1 - 4) Explanation:
If we're asked to move to the right, make the x-coordinate a positive number.
If we're asked to move to the left, make the x-coordinate a negative number.
If we're asked to move upwards, make the y-coordinate a positive number.
If we're asked to move downwards, make the y-coordinate a negative number.
The Rivera family bought a new tent for camping. Their old tent had equal sides of 10 feet and a floor width of 15 feet, as shown in the accompanying diagram. If the new tent is similar in shape to the old tent and has equal sides of 16 feet, how wide is the floor of the new tent?
Answer:
25.6 feet
Brainliest, please!
Step-by-step explanation:
10/16 = 16/x
5/8 = 16/x
5 = 128/x
x = 128/5
x = 25.6
The floor of the new tent is 24 feet wide.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
Side of old tent = 10 feet,
And width of floor = 15 feet.
Let width of new tent is x feet.
To find the width of a tent whose side is 16 feet,
Use ratio and proportion property,
10/15 = 16/x
x = (16 × 15)/10
x = 240/10
x = 24 feet
The width of the floor of the new tent is 24 feet.
To learn more about Ratio on :
https://brainly.com/question/13419413
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1. Reflection across the x-axis.
R(-2,2) ► R’
J(-1,4) ► J'
G(3,4) ► G’
reflection in the x axis
x,y=x-y
-2,2
2,-2
-1,4
1,-4
3,4
3,-4
evaluate each expression and round your answers to the nearest thousandth do not round any intermediate computations
Step-by-step explanation:
1. 1.45^(-0.7) = 0.771
2. (4/3)^(2.7) = 2.174
1:-
[tex]\\ \sf\longmapsto 1.45^{-0.7}[/tex]
[tex]\\ \sf\longmapsto 1.45^{-\frac{7}{10}}[/tex]
[tex]\\ \sf\longmapsto 0.771[/tex]
2:-
[tex]\\ \sf\longmapsto \left(\dfrac{4}{3}\right)^{2.7}[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{4}{3}\right)^{\frac{27}{10}}[/tex]
[tex]\\ \sf\longmapsto 2.174[/tex]
Translate the sentence into an inequality. A number b increased by 5 is at most – 24.
Answer:
b+5≤-24. Hope this helps:)
Step-by-step explanation:
Help HELP HELP HELP HELP
Answer:
the g.c.f is 44,46,
i not sure but hope it help
please help I don't know how to do this
Formula: 4s
S = 7
Answer:
28
Step-by-step explanation:
Given formula:
4s
It is given that the variable, s, is equal to 7. Therefore, plug in 7 for s in the expression:
4s
4(7)
Next, multiply straight across:
4 * 7 = 28
28 is your answer.
~
Answer:
answer is 28
Step-by-step explanation:
it is simple put the value of S in formula and then solve
factor. x^2 - 11x + 30 delta math
Answer:
(x-5)(x-6)
Step-by-step explanation:
-6-5=-11
-6 times -5=30
so...
(x-5)(x-6) and -5 and -6 are the factors.
Shelly charges$10 per hour for her babysitting services. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n= 12, evualte your expression using distributive property.
Answer:
10n+(10 x 15)
or
(10 x n)+150
either way it would be 270
Subtract.
Your answer should be a polynomial in standard form.
(3x^3 + 4x²) - (2x^3+ 3x^2– x) =
Answer:
x³ + x² + x
Step-by-step explanation:
(3x³ + 4x²) - (2x³ + 3x² - x) ← distribute parenthesis
= 3x³ + 4x² - 2x³ - 3x² + x ← collect like terms
= x³ + x² + x
The sum of the areas of two squares is 818 cm2.
The sum of the perimeters is 160cm.
Find the lengths of the sides of the squares.
Answer: 17 and 23 (cm)
Step-by-step explanation:
Let c1 and c2 the side of thr squares.
[tex]\left\{\begin{array}{ccc}4*c_1+4*c_2&=&160\\c_1^2+c_2^2&=&818\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1+c_2&=&40\\c_1^2+(40-c_1)^2&=&818\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1+c_2&=&40\\c_1^2+-40c_1+391&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1&=&23\\c_2&=&17\\\end{array}\right.\ or\ \left\{\begin{array}{ccc}c_1&=&17\\c_2&=&23\\\end{array}\right.\\[/tex]
Which statements are true about the rules of division?
Answer:
where is the list at?
Step-by-step explanation: