6. The base of a triangular field is three times its height. If the cost of cultivating the field
at 36 per hectare is? 486, find its base and height (1 hectare = 10000 m²).
Answer:
base = 519.62, height = 173.21 m
Step-by-step explanation:
Let the base and height of the triangle be represented by b and h respectively.
Thus,
b = 3h
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
For the given triangle,
area = [tex]\frac{1}{2}[/tex] x b x 3h
= [tex]\frac{3}{2}[/tex]bh
Area of the triangle = [tex]\frac{3}{2}[/tex]bh
To determine the number of hectares,
36 per hectare = 486
hectare = [tex]\frac{486}{36}[/tex]
= 13.5
numbers of hectares = 13.5
Area of the hectares = number of hectares x 10 000 m²
= 13.5 x 10 000
= 135000
Total area of the hectares = 135 000 m²
So that,
area of the hectares = area of the triangle
area of the triangle = [tex]\frac{3}{2}[/tex]bh
135 000 = [tex]\frac{3}{2}[/tex]bh
270000 = 3bh
bh = [tex]\frac{270000}{3}[/tex]
= 90000
bh = 90000
But, b = 3h
3h x h = 90000
3[tex]h^{2}[/tex] = 90000
[tex]h^{2}[/tex] = [tex]\frac{90000}{3}[/tex]
= 30000
h = [tex]\sqrt{30000}[/tex]
= 173.2051
h = 173.21 m
So that,
b = 3 x 173.2051
= 519.6153
b = 519.62
Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.
I WILL GIVE BRAINLIEST!!!!
The triangles △ABC and △DEF are similar.
Which set of measurements prove that the two triangles are similar?
The two triangles are similar if the ratio of the corresponding sides are equal.
What is ratio?Ratio is a mathematical comparison of two or more quantities expressed as a fraction. A ratio can be expressed as a fraction, a decimal, or in the form of words. Ratios are used to compare items or quantities in a variety of different contexts, from mathematics and science to business and daily life. For example, a ratio of 2:1 indicates that for every two items, there is one of the same item.
This means that the ratio of side AB to side DE must be equal to the ratio of side BC to side EF, and the ratio of side AC to side DF must be equal to the ratio of the remaining sides.
For example, if side AB is 10 cm and side DE is 5 cm, then side BC must be 10 cm and side EF must be 5 cm for the two triangles to be similar. Similarly, if side AC is 8 cm and side DF is 4 cm, then the remaining sides must be 8 cm and 4 cm respectively.
To learn more about ratio
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angeline would like to make 8 identical bowls for a gift to her family. each bowl required 3/4 lbs. of clay. the clay is sold in 5 bl. blocks. how many will she need to buy
Answer: 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
8 × .75 = 6lbs
she'd need 6lbs so she'd buy two bags of 5lbs
12. Which of the following is a quadratic equation?
(1) x2 + 6 = 0
(2) 28-10 = 15
(3) 2r-32 = 2
(4) r+2 =10
-5 1/2+ 6 3/4+ (-4 1/4) =
Oder the least to greatest: -3, -10, -1 please helppp
From least to greatest: -10, -3, -1
HURRY PLEASE WILL MARK BRAINLIEST!!!!!!
Answer:
A+B/2
10*19=190
190/2= 95
Step-by-step explanation:
What is the approximate diameter of a sphere with a volume of 268 cm3
Answer:
d≈8cm
Step-by-step explanation:
Answer:
8cm
Step-by-step explanation:
Ap3x
2) Find the degree of the following polynomials
a) x+3x+2
Help please! Ty! Ratios
Answer:
Ratios to roses to lilies....6:9
Reduced.....2:3
Step-by-step explanation:
Pretty simple doesn't need explaining
!!! HELP ME !!!
i just need the four letter code !!!
solve each box using the answer choices on the side in the picture !
Answer:
DHGB
Step-by-step explanation:
Let's start with 1.
The equation is in standard form (ax+by=c): -4x+2y=8
we'll put it into slope intercept form.
Add 4x onto both sides
2y=4x+8
divide by 2
y=2x+4
Parallel lines have the same slope, but a different y intercept. (the line parallel to this one will have a slope of 2 but a y intercept different from +4)
Looking at the answer choices, the only choice with a slope of 2 is D (y=2x-5)
So the answer to 1 is D
Now 2.
we're given 3 points. One of the points crosses the y axis, which is the y intercept. In this case, the line crosses the point (0,3)
That means the y intercept of the line is (0,3)
here's the line so far:
y=mx+3 (m is a placeholder for the slope)
when given a graph, we can use rise/run. Starting from the point (3,2), we can move 3 spaces to the left, and one up.
In a graph, if you move to the left or downwards, it's a negative move. If you move up or to the right, it's a positive move.
Since we went 1 space up (rise) and 3 spaces to the left, (run) the slope is -1/3
So the line is y=-1/3x+3
Perpendicular lines are negative and reciprocal. If you multiply their slopes, they will equal -1. Their y intercepts don't matter at all.
So to find the slope, we can use this equation.
-1/3m=-1
multiply by -3 on both sides
m=3
Looking at the answer choices, H is the only answer with a slope of 3. So the answer to 2 is H.
Now, 3
You can do the graph method like above for 2, but I'll just calculate the slope.
We're given two points, (-1,-2) and (0,2)
the formula for slope is (y2-y1)/(x2-x1)
we can label the points.
x1=-1
y1=-2
x2=0
y2=2
now, substitute into the equation.
m=(2--2)/(0--1)
m=4/1
the slope is 4.
Now let's use point slope form, which is y-y1=m(x-x1)
once again, sub. into the equation.
y+2=4(x+1)
do distributive prop
y+2=4x+4
subtract by 2
y=4x+2
As said above, parallel lines have the same slope.
Looking at the answer options, G also has the slope of 4
so the answer to 3 is G
Finally, #4
Equation: 3x+y=1
subtract 3x from both sides
y=-3x+1
As said above, perpendicular lines have slopes that multiply to equal -1.
-3m=-1
multiply by -1/3
m=1/3
so the slope of the line will be 1/3.
Looking at the answer options, B also has a slope of 1/3.
So the answer to 4 is B
The code is DHGB
Hope this helps!
Find the prime factorization of the number.
22
The prime factorization
Answer:
Step-by-step explanation:
22 into 2 and 11
2 is already prime and 11 is already prime
The slope of a direct variation function is -4. What is the equation of the function?
y = 4 x
y = - 1/4 x
y = -4 x
y = x - 4
Answer:
y = -4 x
Step-by-step explanation:
Find the slope of the line that goes through the two points.
(6,7) (-2,11)
Answer:
-1/2
Step-by-step explanation:
The equation for slope is (y2-y1)/(x2-x1).
Plug in the values given in the problem
(11-7)/((-2)-6)
Then simplify
4/(-8)=-1/2
In a basketball game, Ty'rik make 20 of 28 baskets. What percentage of the shots did he make? Round to the nearest whole number. A. 20% B. 28% C. 1% D71%
Step-by-step explanation: depending on where he made the shots imma have to go wit B
what number do we use to replace the (a) a-(-19)= -12
Answer:
-31
Step-by-step explanation:
We write the equation out
[tex]a-(-19)=-12[/tex]
Distribute the -1
[tex]a+19=-12[/tex]
Subtract the 19 on both sides
[tex]a=-31[/tex]
What is the area of the shape shown above
Answer:
the area is 286
pls mark as brainlist
Answer:
476 ft^2
Step-by-step explanation:
Area of the square:
Formula: L x W
13 x 22 =
286
Area of Semi-Circle:
Formula: 1/2(πr^2 )
1/2 (π11^2)
=190
Area of square + Area of Semi Circle
=476 ft^2
Does anyone know how to do 2b)???? Please help!!
Answer:
Step-by-step-explanation:
Answer:
Step-by-step explanation:
Now to find the x values for which r(x) = 1/4 hence ,
we will use the given function of r(x),
its given in image the solution, please
Brain-list it or support me at my U-Tube channel " ZK SOFT&GAMING " I will be thankful
Elena starts her new job working at an office supply store. She works for 6 hours and makes a total of $54.
Which equation is set up correctly to determine how much Elena makes per hour (h)?
6h = 54
6, h , = 54
54h = 6
54, h , = 6
h + 6 = 54
h , + 6 = 54
54 – h = 6
PLEASE HURRY
Answer:
I believe the answer would be A.
Step-by-step explanation:
A says 6 x h is 54.
^ ^ ^
important!
6 is the number of hours.
h is how much money made per hour.
54 is the total after working 6 hours.
6х +8y - 9x + 2y
helpp
Answer: -3x+10y
Step-by-step explanation:
Just add the like terms
6x-9x=-3x
8y+2y=10y
The equation then simplifies to -3x+10y
Which of the following is the quotient of the rational expression 4x/2x-1 divided by 3x+2/x+5
Answer:
Step-by-step explanation:
Answer:
4x^2+20x/6x^2+x-2
Step-by-step explanation:
I'm cracked
Order the following numbers from least to greatest.
Put the lowest number on the left.
-61 , -40 , -85 , -21
Step-by-step explanation:
-21 -40 -61 -85
because negative numbers are the same as positive numbers. imagine it like this
-3 -2 -1, 0, 1, 2, 3
What triangle doesn’t belong?
Answer: B does not belong with the others. The others are all right triangles, while B is an obtuse triangle. It might be wrong if they're looking for something different though.
Step-by-step explanation:
HELP DUE IN 20 MINUTES AND I HAVE MORE TO DO!!!!
Answer:
12 5/8 ft
Step-by-step explanation:
13 - 1 = 12
7/8 - 1/4 = 5/8
=12 5/8
Please help? 5) 120 = 4(-6+6n)
Answer:
n=6
Step-by-step explanation:
for the function f(x)=x^2-5x+6, where is the y-intercept?
what is the answer to this equation -12= -3y
y=4
Step-by-step explanation:
[tex]\tt{-12=-3y }[/tex] ⠀
[tex]\tt{ y=\dfrac{-12}{-3} }[/tex] ⠀
[tex]\tt{y=4 }[/tex] ⠀
look at the pic and please help me
Answer:
so 8 squared is 64 but when you do 2 cubed its 8
is this what you wanted?
2(x+1.25)=3,5
Find x
Step-by-step explanation:
[tex]\tt{2(x+1.25)=3.5 }[/tex] ⠀
[tex]\tt{ 2x+2.5=3.5 }[/tex] ⠀
[tex]\tt{ 2x=3.5-2.5 }[/tex] ⠀
[tex]\tt{2x=1 }[/tex] ⠀
[tex]\tt{ x=\dfrac{1}{2}=0.5 }[/tex] ⠀
PLEASE HELP I HAVE 20 MINUTES BEFORE I HAVE TO SUBMIT THIS!!!!!!!
show where to place parentheses in the expression so that the value is 31;
4 + 3^2 • 5 - 2