Given:
The perimeter of a triangle is 59 cm.
The first side is 7 cm shorter than the second side.
The third side is 4 cm less than twice the length of the first side.
To find:
The length of each side.
Solution:
Let x be the second side.
Then, according to the question,
First side = x-7
Third side = 2(x-7)-4
Perimeter of a triangle is the sum of all of its sides.
[tex](x-7)+x+(2(x-7)-4)=59[/tex]
[tex]x-7+x+2x-14-4=59[/tex]
[tex]4x-25=59[/tex]
Add 25 on both sides.
[tex]4x=59+25[/tex]
[tex]4x=84[/tex]
Divide both sides by 4.
[tex]x=21[/tex]
Now,
First sides =21 - 7=14 cm
Second side = 21 cm
Third side = 2(14)-4 = 24 cm
Therefore, the three sides of triangle are 14 cm, 21 cm and 24 cm respectively.
Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)
I would really appreciate some help... branliest to whoever can
Answer:
1. 6 to the power of 8
2. 9765625
3. 2 to the power of 4
4. 1296
5. I do not know 5 sorry.
6. 117649
Step-by-step explanation:
brainliest? plz help last question
3. If s varies directly as (r + 1) and s = 8, when r = 3, calculate the value ofr when s = 20.
(4marks)
Answer:
When s = 20, r = 9
Step-by-step explanation:
Given,
s is directly proportional to (r + 1)
s = k(r + 1)
(k is the constant of proportionality)
When s = 8,
8 = k(3 + 1)
8 = k(4)
8 = 4k
8/4 = k
2 = k
When s = 20,
20 = 2(r + 1)
20 = 2r + 2
20 - 2 = 2r
18 = 2r
18/2 = r
9 = r
ill give brainliest
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 6 units long. Point C is on the line x = −3. If the area of ΔABC is 9 square units, then find a possible y-coordinate of point C.
5
6
7
8
Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation:
A gym all machine contains 23 green gum balls, 52 red gum balls, 34 blue gum balls, 61 yellow gum balls, and 30 pink gum balls.
What percent of the gum balls are red
Answer:
26%
Step-by-step explanation:
total gum balls 200
52/200 = x/100
52×100=5200
5200÷200=26
Peter creates balloon animals for different events. He has 644 balloons. He wants to use
the same number of balloons for each of 28 events. How many balloons can Peter use at
each event?
Answer:
He uses 23 balloons for each of the 28 events.
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
I divided 644 by 28. There are 644 balloons and you want to split
(divide) into the same number of balloons with none left over. Look for those key words to tell you what type of math your doing. Hope this helps!
Aden spent $10 on a mug and then sold it, making 20% profit, how much did he sell the mug for
Answer: $2
Step-by-step explanation: 20 percent of 10 is 2
Hope I did this right
The selling cost of the mug is the amount of $12.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.
We have been given that Aden spent $10 on a mug and then sold it, making a 20% profit.
The original cost of the mug is $10.
The selling cost of the mug = original cost + 20% of the original cost
The selling cost of the mug = $10 + 20% of $10
The selling cost of the mug = 10 + (20/100)10
The selling cost of the mug = 10 + 0.20 × 10
The selling cost of the mug = 10 + 2
The selling cost of the mug = $12
Therefore, the selling cost of the mug is the amount of $12.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
g(x)=17-2/3x;g(6)
please help me i only have 5 mins left
Answer:
13
Step-by-step explanation:
17 - 2/3(6)
17 - 4
13
sub in 6 for x to find g(6) instead of g(x)
What is the product of 2 1/8and 4 1/3
Hey there :,)
The answer is D. 9 5/24
Answer:
D
Step-by-step explanation:
Inequality to Verbal
25 < y < 31
A. The domain is greater than 25 and less than or equal to 31.
B. The range is greater than or equal to 25 and less than 31.
f. The domain is greater than or equal to 25 and less than 31.
D. The range is greater than 25 and less than or equal to 31.
Answer:
D. The range is greater than 25 and less than or equal to 31.
Step-by-step explanation:
y is range
≤ = less than or equal to
< = less than
can Someone help me
Answer:
B
Step-by-step explanation:
Hellpp ⚠️⚠️
What is the square root of -16?
A -8i
B -4i
C 4i
D8i
Answer:
4i
Step-by-step explanation:
c or b i hope i helped you have a good day
In isosceles triangle ABC, AB=AC.If B=55, calculate A
Answer: ∠A = 70°
because ABC is an isosceles triangle and AB = AC
=> ∠B = ∠C = 55°
=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°
Step-by-step explanation:
sorry i can't help :(
Room temperature ranges from 25 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale.
Complete question :
Room temperature ranges from 20 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale
Answer:
68°F to 77°F
Step-by-step explanation:
Given that:
Temperature range in degree celcius :
20°C to 25°C
The temperature range in degree Fahrenheit is :
Using the relation :
F-32=1.8C
20°C :
F-32=1.8(20)
F = 36 + 32
F = 68°
25°C :
F-32=1.8(25)
F = 45 + 32
F = 77°
Hence, range of room temperature in Fahrenheit scale is :
68°F to 77°F
i need help!!
5=x+29
Solving One-Step
Step-by-step explanation:
5=x+29
collect like terms
x=29-5
x=24
the answer is 24
hope this helps
Answer:
-24 is your ans.
Step-by-step explanation:
5=x+29
5-29=x
x= -24
help me slove this---------
Answer:
x = 48 degrees
Step-by-step explanation:
Total internal angles:
180 degrees * 3
= 540 degrees
540-105-102-93
= 240
240 = 5x
x = 48
PLS GIVE BRAINLIEST
Answer:
2x = 96º
3x = 144º
Step-by-step explanation:
sum of all angles ina pentagon is 540, so:
2x+3x+105+93+102 = 540
5x+ 300 = 540
5x = 540-300
5x = 240
x = 240/5
x = 48
3x = 48.3
3x = 144
2x = 48.2
2x = 96
proof:
105+93+102+144+96 = 540
1 1/9 x 3 5/10
Please educate me this basic knowledge because I’m so stupif
35/27 as a mixed number
Today, everything at a store is on sale. The store offers a 20% discount.
a. The regular price of a T-shirt is $18. What is the discount price?
Type the answer in the box below.
$
b. If the regular price of an item is x dollars, what is the discount price in dollars?
Type the correct expression in the box below.
$$
c. The discount price of a hat is $18. What is the regular price?
Type the answer in the box below.
$
Answer:
A. $14.40
B. ?
C. $21.60
Step-by-step explanation:
I just know it’s right lol
pls answer QUICK PLSSSS
Step-by-step explanation:
1) 13.57
+2.93
With this, we subtract from the back Meaning we add starting from back to forward;
13.57
+2.93
16.50
We have that because when you add 7 and 3 you get 10 so we write the 0 there and add the remaining 1 to the 5 making it 6 and then 6 plus 9 will give you 15 then we write the 5 then we add the remaining 1 to the 3 making it 4 then we add the 4 to the 2 making it 6 after this there is no remainder so we just write the 1.
The mark obtained by Belij in an exam is 28 out of 40, express his obtained marks in percentage
Marks
= 28/40
= 28/40 × 2.5/2.5
= 70/100
= 70%
Answer:
70percent
Step-by-step explanation:
28/40 x 100
0.7 x 100
=70 percent
A full grown German Shepherd weighs about 35 kg on Earth and only 13.3 kg on Mars. How much would a German Shepherd puppy weigh on Earth if it was 1.9 kg on Mars
Answer:
Step-by-step explanation:5 pounds
35/13.3=2.63. 1.9x2.63=5kg
please help im freaking out because this is due in 5 minutes
Step-by-step explanation:
12:8
24:16
36:24
48:32
Girl hurry and submit it
What are the domain and range of the function below?
Answer:
Domain: all real numbers
Range: all real numbers greater than or equal to -2
Step-by-step explanation:
The domain is the set of x-coordinates.
It is the set of real numbers since x can be any real number.
The range is the set of y-coordinates.
The minimum value for y is -2. y can be -2 or any real number greater than -2.
Answer:
Domain: all real numbers
Range: all real numbers greater than or equal to -2
Answer:
C on Edge
Step-by-step explanation:
Just 2 and 3 .....................................
Answer:
i
Step-by-step explanation:
Given that triangle ABC congruent to triangle DEC and m
Answer:
m∠ABC=67°
Step-by-step explanation:
The height of a triangle is one-third of its base. If the area is 121.5ft^2, what is the height of the triangle?
9.
it’s too long to explain so just look at the picture, hope it helps.
¿Cuáles son los términos de la expresión
algebraica 5p + 4?
A: 4
B: 5p
C: +
Answer:
A, B
Step-by-step explanation:
Los términos están separados por +, -, / o x.
A leatherback sea turtles was swimming at 850 below sea level. He went 165 meters and then descendes 165 meters. Draw a number line to show the change in position of the sea turtles from depth it was swimming. What integer represents the sea turtles change in position?
Answer:
0
Step-by-step explanation:
Initial. Position = (- 850) below sea level
Upward movement = 165m
Deownward movement (descent) = (165m
Change in position : net change
Upward movement + downward movement
(165 + (-165)m = (165 - 165)m = 0