A triangle has a perimeter of 77 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle
Answer:
a = 33cm
b = 33cm
c = 11cm
Step-by-step explanation:
Let us say that the sides of the triangle are a, b and c
The perimeter of a triangle can be calculated by adding all three sides of the triangle.
Perimeter = a + b + c
Let side c be the shortest side of the triangle.
From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that
a = 3c and b = 3c
We can input these values into the perimeter of the triangle
Perimeter = 3c + 3c + c = 77
Perimeter = 7c = 77
c = 11
The shortest side, c is = 11 cm
side a is 3 X 11 = 33cm
side b = 3 X 11 = 33 cm
JL = 28,
KL= 5x + 6, and
JK = 3x + 6,
Answer:
KL = 16
Step-by-step explanation:
For this problem, JL is the sum of KL and JK. So we can say this:
JK + KL = JL
( 3x + 6 ) + ( 5x + 6 ) = 28
8x + 12 = 28
8x = 16
x = 2
So, now we can find KL:
5x + 6 = ?
5(2) + 6 = ?
10 + 6 = ?
16 = ?
So the length of KL is 16.
Cheers.
Simplify 7(x + 3). 7x + 3 7x + 10 7x + 21 x + 21
Answer: 7x+21
HOPE THIS HELPS :>
Step-by-step explanation:
what is the answer to this n+3/8 = -4 solve for n pls :)
some one pls help ASAP I’m begging. (Please show work, just number 7.)
Isolate the variable with algebraic manipulation.
[tex]V=\frac{1}{3}\pi r^2h[/tex]
[tex]3V=\pi r^2h[/tex]
[tex]\frac{3V}{\pi r^2}=h[/tex]
Hope this helps.
頑張って!
The product of 2 and w
Answer:
2w
Step-by-step explanation:
that is 2 times w if you want a anwser i would need a definition of w
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Choose the equation to match the situation
Answer:
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
Step-by-step explanation:
From the given information:
Let consider x to be the of volume 40% solution
therefore the volume of 5% is said to be:
10 L= 40% solution volume + 5% solution volume
10 L= (x + 5%) solution volume
making 5% solution volume the subject; we have
5% solution volume= 10 L - x
To estimate the value of the volume, we now have:
Volume of 20% × Concentration of 20%= (Volume of 40% × concentration40%) + (Volume of 5% × Concentration of 5% )
∴
10L × 20%= (x) L × 35% + 10 L × 5%
(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15
[tex]x L = 10L \times \dfrac{15}{35}[/tex]
x = 4.28 L
x [tex]\simeq[/tex] 4.3L
∴
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
If a Ferrari, with an initial velocity of 10 m/s, accelerates to a rate of 160 m/s/s for 3 seconds,
what is its acceleration?
Answer:
The acceleration is 160 m/s/s
Step-by-step explanation:
The unit m/s/s tells you that the car is accelerating at a rate of 160 m/s/s.
2u^2 + v when u=3 and v=7
Answer: 25
Step-by-step explanation:
There are two variables which is u and v and is given that u is 3 and v is 7 so input that into the expression and solve.
2(3)^2 + 7 Solve the exponent first
2(9) + 7 Now multiply then add
18 + 7 = 25
3n-5=8(6+5n) addition property of equality
Answer:
exact form: n=-53/37
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
The properties used:
a) Distributive Property.
b) Combining Like Terms.
c) Division Property of Equality.
Given is an equation 3n-5 = 8(6+5n), we need to solve it by using Property of Equality.
Let's solve the equation step by step:
3n - 5 = -8(6 + 5n)
First, we will distribute the -8 to the terms inside the parentheses:
3n - 5 = -48 - 40n
Next, we can simplify the equation by combining like terms:
3n + 40n = -48 + 5
43n = -43
Now, to isolate n, we will divide both sides of the equation by 43:
(43n)/43 = (-43)/43
n = -1
The solution to the equation is n = -1.
Learn more about Property of Equality click;
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I need help asap!! pls!
Answer:
k = [tex]\frac{11}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3k, 6) and (x₂, y₂ ) = (k, - 5)
m = [tex]\frac{-5-6}{k-3k}[/tex] = [tex]\frac{-11}{-2k}[/tex] = [tex]\frac{11}{2k}[/tex] = 2 ( multiply both sides by 2k )
4k = 11 ( divide both sides by 4 )
k = [tex]\frac{11}{4}[/tex]
Answer:
k= 11
4 because when you find the opposite pro bioniomals with mc² and you add 45 + 3 - 6 / -5
HELP ME ASAP
Select the correct answer. What is the solution to the equation 4x - 8 = -8? A x = 0 B. No solutions exist. OC. OD X = -4 or x = 4
Answer:
the answer is A
Step-by-step explanation:
because if you listen in math class you will understand why-
Answer:
A: x = 0
Step-by-step explanation:
estimate the value of √13. round to the hundredths.
[tex]\sqrt{13}[/tex] = 3.60555127546
rounded to the nearest hundredth:
3.61
Can someone please answer this ? * will mark as brainiest *
Answer:
pq= 12 cm
Step-by-step explanation:
I believe PQ would be 12 cm.
13x + 4 + 10x - 1 = 141
Answer:
x=6
Step-by-step explanation:
Answer:
Step-by-step explanation:
13x + 10x + 3 = 141
23x + 3 = 141
23x = 138
x = 6
Cual es la de Raiz de 2000
2000 | 2
1000 | 2
500 | 2
250 | 2
125 | 5
25 | 5
5 | 5
1
√2000 = √2².√2².√5².√5
√2000 = 2.2.5√5
√2000 = 20√5
(aproximadamente 44.72135955)
Can someone help me please?
Answer:
X-16 the first one
Step-by-step explanation:
The first one is equal to x-4
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?
O A 6.0%
e.
B. 10.4%
O C. 16.7%
e
D. 23.3%
Answer:
[tex]Probability = 23.3\%[/tex]
Step-by-step explanation:
Given
Number cube
Toss = 8
Required
Probability of not landing on 3
First we need to get the probability of landing on 3 in a single toss;
For a number cube;
[tex]n(3) = 1[/tex] and [tex]n(Total) = 6[/tex]
So; the probability is
[tex]P(3) = \frac{1}{6}[/tex]
First we need to get the probability of not landing on 3 in a single toss;
Opposite probability = 1;
So:
[tex]P(3) + P(3') = 1[/tex]
Make P(3') the subject of formula:
[tex]P(3') = 1 - P(3)[/tex]
[tex]P(3') = 1 - \frac{1}{6}[/tex]
[tex]P(3') = \frac{5}{6}[/tex]
In 8 toss, the required probability is
[tex]Probability = (P(3'))^8[/tex]
This gives
[tex]Probability = (\frac{5}{6})^8[/tex]
[tex]Probability = \frac{390625}{1679616}[/tex]
[tex]Probability = 0.23256803936[/tex]
Convert to percentage
[tex]Probability = 23.256803936\%[/tex]
Approximate to 1 decimal place:
[tex]Probability = 23.3\%[/tex]
For what value of x is line a parallel to line b?
Answer:
22.
Step-by-step explanation:
If lines A and B are parallel to each other, then 4x + 28 = 116.
4x + 28 = 116
4x = 88
x = 22.
can someone please help me
Answer:
8^18
Step-by-step explanation:
8^15+3
8^18
Give two different ways to write each expression in words
Answer:
Sometimes in math we describe an expression with a phrase. For example, the phrase
"222 more than 555"
can be written as the expression
2 + 52+52, plus, 5.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).
For example,
"333 more than xxx"
can be written as the algebraic expression
x+ 3x+3x, plus, 3.
But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.
Step-by-step explanation:
I need help finding the answer for this question, What is 5x+10=30
Answer:
x = 4
Step-by-step explanation:
Well, move the 10 over to the 30. The 10 is positive, so you subtract.
5x = 20
Now Divide!
5x/5 = 1x or x
20/5 = 4
So,
x = 4
15-10 *
Adding and subtracting intergers
solve for b 30b+53≥18b−83
Answer:
Step-by-step explanation:
30b + 53 ≥ 18b - 83
30b - 18b ≥ -83 - 53
12b ≥ -136
b ≥ - [tex]\frac{136}{12}[/tex]
wat is 33 square roots on a number line where dose it stand by.
Answer:
1089
Step-by-step explanation:
Please help I've been stuck on this for a while
Answer:
x=5,y=2,z=-1
Step-by-step explanation:
x+y+z=6 ........1
2x-y+3z=5 ..........2
3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3
substitute for x in equation 1 and 2
13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3
z/3+y=5/3 first equation2(13-2z)/3-y+3z=5
26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒
5z/3-y=-11/3 second equationz/3+y=5/3 first equationeliminate y5z/3-y+z/3+y=-11/3+5/3
6z/3=-6/3
z=-1x=(13-2z)/3 ( find x, bu substitute z=-1)x=(13+2)/3
x=15/3 ⇒ x=5x+y+z=65+y-1=6
y=6+1-5
y=2What is the value of x in this equation? 5x − 2(2x − 1) = 6
Answer:
x=4
Step-by-step explanation:
first you would factor the -2(2x-1). -2x2x= -4x, -2x-1= 2
the equation would then be 5x-4x+2=6
add the x's together which turns the equation to 1x+2=6
minus 2 from both sides of the equation which gives you x=4
The required value of x would be 4 in the given equation 5x − 2(2x − 1) = 6.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine the value of x in the equation
Given that the equations as :
⇒ 5x − 2(2x − 1) = 6
Open the parentheses and apply the multiplicative property,
⇒ 5x - 4x + 2 = 6
Apply the subtraction operation in the terms of x
⇒ x + 2 = 6
⇒ x = 6 - 2
⇒ x = 4
Therefore, the required value of x would be 4 in the equation
Learn more about the equation here:
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x²-x-2(area)
x + 1(base)
The triangle above has an area of x2-x-2 and a
base of x + 1. What is the height of the triangle?
area of triangle formula = ½ × Base × Height
X² - X - 2 = ½ × ( X + 1) × Height
X² - X - 2 = (0.5X + 0.5)Height
Therefore,
Height = ( X² - X - 2 ) / ( 0.5X + 0.5 )
Two planes intersect in exactly _____. one plane, two lines, one point, one line, thank you
Answer:
one line
two planes intersect in one line
Move theses numbers (0.1, 8/7, -1, 2/3, 0.05 )to the blanks to order them from least to greatest value.
Answer:
-1, 0.05, 0.1, 2/3, 8/7
Step-by-step explanation:
Answer:
[See Below]
Step-by-step explanation:
✦ First turn every number into a decimal that can be turned into a decimal:
✧ 0.1
✧ 1.14 (8/7)
✧ -1 (Can't be turned into a decimal)
✧ 0.66 (2/3)
✧ 0.05
✦ Now just order them from Least to Greatest:
✧ -1, 0.05, 0.1, 0.66, 1.14
~Hope this helps Mate. If you need anything feel free to message me.