Answer:
[tex] \sqrt[2]{3} [/tex]
[tex] \sqrt[4]{3} [/tex]
Step-by-step explanation:
A garden is in a shape of an equilateral triangle with side 4 ft.
The objective is to find the area of the garden.
The formula to find the area of the triangle is, A= 1/2• b • h
Here, b represents the side of the triangle and h represents and h represents the height of the triangle.
The height of an equilateral triangle can be calculated by,
H = /3/2 • b
= /3/2 • 4
=
[tex] \sqrt[2]{3} [/tex]
Now substitute the value of b and h in the formula of area of triangle.
A = 1/2 • 4 •
[tex] \sqrt[2]{3} [/tex]
=
[tex] \sqrt[4]{3} [/tex]
ft²
Answer:
4 and [tex]2\sqrt{3}[/tex]Step-by-step explanation:
Base of the triangle is:
b = 4Height of the triangle:
h = [tex]\sqrt{4^2 - (4/2)^2}[/tex] = [tex]\sqrt{16 - 4}[/tex] = [tex]\sqrt{12}[/tex] = [tex]2\sqrt{3}[/tex]Area is:
A = 1/2* 4* [tex]2\sqrt{3}[/tex]Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h
Answer:
the value of h is √676km
Step-by-step explanation:
The computation of the value of h is shown below
Here we apply the Pythagoreus theorem
= 24^2 + 10^2
= 576 + 100
= √676
Hence, the value of h is √676km
We simply determine by using the Pythagoreus theorem
Carlos left the mall at the same time as
Gabriella. They traveled in opposite
directions. Gabriella traveled at a speed
of 50 mph. After two hours they were 180
mi. apart. How fast did Carlos travel?
Answer:
40 mph
Step-by-step explanation:
After the 2 hours Gab travelled 100 miles (50*2), subtract this from 180 to find how many miles Carlos travelled. Divide this number by 2 to figure out the mph
Please help me I'm desperate!! Debbie is making bows that use 1/5 yard of ribbon each. If Debbie has 3 yards of ribbon how many can she make. Is this division or multiplication pls tell me that too.
For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90
Answer:
38
Step-by-step explanation:
128 + angle G= 180
angle G = 180-128= 52
m+ 52 = 90 ( complementary angles)
m= 90-52= 38
A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel
Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
Find the median for each set of data. Round to the nearest tenth if necessary.
34, 47, 30, 79, 68, 19, 16
A) 38. B) 26
C) 43. D) 34
Answer:
d) 34 is the median
Step-by-step explanation:
hope this helped you
amy uses 2/3 of a yard of fabric for each pillow she makes. she has 5 yards of fabric. does she have enough to make 8 pillows
Answer:
no but she cn make 2 pillows
Step-by-step explanation:
A line has a slope of 11 and passes through the point (2,4). PLSSSS HELPPP
Find the equation of the line.
Answer:
y=11x-18
Step-by-step explanation:
y=11x+b (b is the unknown y-int)
to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*
y=11x+b
4=11(2)+b
4=22+b
b=-18
the equation of the line:
y=11x-18
Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)
Answer:
A. 6(1+2x)
Step-by-step explanation:
we take 6 as Common factor out of the equation
suppose that 12 dimes and nickels are worth 95 cents. how many dimes and nickels are there? use systems of equations to solve.
Answer:
7 dimes and 5 nickles
Step-by-step explanation:
7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95
The Williams family bought four concert tickets for $252. What was the price per
ticket?
Answer:
$63
Step-by-step explanation:
$252 ÷ 4 = $63
Answer:
Step-by-step explanation:
The family bought 4 tickets
The total cost is $252
So that means you have to divide $252 by the number
of tickets bought which is 4
$252÷4=$63
Answer: Each ticket cost $63
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?
Answer:
x = 7
Step-by-step explanation:
(7 + 6) - (14 - 1) = 13 - 13 = 0
Answer:
x = 7
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log ([tex]\frac{x}{y}[/tex] )
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
ln(x + 6) - ln(2x - 1) = 0
ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0
[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then
2x - 1 = x + 6 ( subtract x from both sides )
x - 1 = 6 ( add 1 to both sides )
x = 7
Calculate the surface area.
Thank you for the help
i will mark brainiest
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Answer: 659.7 yd^2
I hope this helped!
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- Zack Slocum
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hey can you solve this I'm weird at maths
[tex] \sqrt{144} = 12 \times x[/tex]
what's x ?
Answer:
The square root of 144 = 12
Step-by-step explanation:
12 X 12 = 144
A square root of a number is a value that, when multiplied by itself, gives the number.
Answer:
x=1
Step-by-step explanation:
and yes you r weird
...
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
what is the first step in evacuating the expression below
Answer:
adding 4 +2
Step-by-step explanation:
in parenthesis
please help me I'm really behind
Answer:
50.24
Step-by-step explanation:
4 = radius
To get the diameter you need to multiply the radius by two 4 x 4 = 16 use 3.14 = 3.14 x 16 = 50.24 THERE IS THE ANSWER!!!!
Catch up btw
Answer:
rtgfg
fdudh. just ucufjvivifiicuj. 8 coccucicciciu I o
5/6 - 1/4. what is 5 over 6 minus 1 over 4? help
Answer:
7/12
Step-by-step explanation:
turn 5/6 and 1/4 to have same denominator (12).
10/12 - 3/12
7/12
Only correct, and relevant answers please :)
Answer:
Answer is A hope this helps :)
Step-by-step explanation:
I have a test tmrw pls help
So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:
y-6=2.5(x-3)
y-6=2.5x-7.5
-2.5x+y=1.5
Please answer the question above.
Answer:113
Step-by-step explanation:
Can anyone help me with this problem?
3x-5=4x+2can i get help anyone
Answer:
3(x+5) = 4x
Step-by-step explanation:
ABC is isosceles AC=20 and BC= 3x-7
Answer:
x=9
Step-by-step explanation:
help please!! graphs and functions
Question 1: How much fabric is needed for a round table cloth?
Assume the radius is 10 inches. How much fabric would you need?
Answer:
50 yards because of the roundness of the table
A TEAMS TOP SPEED FOR EACH LEG OF THE RACE IS 56.81 SECONDS, 59.22 SECONDS ,57.39 AND 60.1 WHAT IS THE BEST TIME
Answer:
56.81 SECONDS
Step-by-step explanation:
The best time would be the shortest time it takes to complete the race. This is 56.81 SECONDS
You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?
Please help me find the answer.
Answer:
I think 3/6
Step-by-step explanation:
because there is 6 cards and 3 of them are odd but im not postive