Answer:
x=4
Step-by-step explanation:
A country has a total biocapacity of 6.21 ha/person, a biocapacity of grazing land of 0.85 ha/person, and a biocapacity of forest land of 2.53 ha/person. Calculate the percentage of biocapacity from grazing and forest land.
Answer:
3.38/6.21=54.428% (0.54428)
Step-by-step explanation:
biocapacity of grazing land of 0.85 ha/person+biocapacity of forest land of 2.53 ha/person
2.53+0.85=3.38
the percentage of biocapacity from grazing and forest land
3.38/6.21=54.428% (0.54428)
Issa knows that ΔRED ≅ ΔTAN by the SSS theorem. She then concluded that ∠R ≅ ∠T. What reason can she use as a justification? a CPCTC b vertical angle theorem c alternate interior angles d None of these choices are correct.
Answer:
(A)CPCTC
Step-by-step explanation:
Issa knows that ΔRED ≅ ΔTAN by the SSS theorem.
If two triangles are congruent, their corresponding parts will always be congruent. In fact, their corresponding angles will be equal.
Therefore, Issa concluded that ∠R ≅ ∠T by the fact that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).
The correct option is A.
Similarly, we can also conclude that:
∠E ≅ ∠A; and∠D ≅ ∠NPLEASE HELP ME ASAP!
Answer:
x =- 3 and y = -7
Step-by-step explanation:
2X-2Y=-8
X=2y + 11
We need to isolate both X and Y in both equations
so
2x-2y=-8
(add 2y to both sides)
2x=-8+ 2y
(divide both sides by 2)
x=-4+y and x=2y+11
because both of these equations are the same we can put them together
4+y=2y+11
(subtract y)
4=y+11
(subtract 11)
-7=y
so y = -7
then to find x you just need to plug in y to one of the equations
x=2(-7) + 11
x= -14 +11
x = -3
Answer:
x = - 19, y = - 15
Step-by-step explanation:
Given the 2 equations
2x - 2y = - 8 → (1)
x = 2y + 11 → (2)
Substitute x = 2y + 11 into (1)
2(2y + 11) - 2y = - 8 ← distribute and simplify left side
4y + 22 - 2y = - 8
2y + 22 = - 8 ( subtract 22 from both sides )
2y = - 30 ( divide both sides by 2 )
y = - 15
Substitute y = - 15 into (2) for corresponding value of x
x = 2(- 15) + 11 = - 30 + 11 = - 19
Solution is x = - 19, y = - 15
The mean salary for the 20 workers in company A is $90 per week, whereas in company B the mean salary for its 30 workers is $85 per week. If the two companies merge, what is the mean salary for the 50 employees of the new company?
Answer:
The mean salary for the 50 employees of the new company = $87
Step-by-step explanation:
Mean for any n set of number is \
mean = sum of n terms/ n
_________________________________
For company A
The mean salary for the 20 workers in company A is $90 per week,
mean = $90
n = 20
using above formula
90 = sum of salary of 20 workers/20
sum of salary of 20 workers = 90*20 = $1800
__________________________________________________
For company B
The mean salary for the 30 workers in company A is $85 per week,
mean = $85
n = 30
using above formula
85 = sum of salary of 30 workers/30
sum of salary of 30 workers = 85*30 = $2,550
____________________________________________
If two companies merge
Total salary for all the 50 workers for both the company =
sum of salary of 20 workers in company A + sum of salary of 30 workers in company B = $1800 + $2550 = $4350
Mean salary of 50 workers will be
n= 50
mean = Total salary of 50 workers/50
mean salary of 50 workers = 4350/50 = 87
The mean salary for the 50 employees of the new company = $87
The tape diagram represents an equation. Write an equation to represent the image.
Answer:
5n = 1.75
Step-by-step explanation:
The 2 bars are equal thus lower equals upper, that is
5n = 1.75
Simple and easy question
please help
Answer:
Volume of a sphere = 4/3πr³
π = 3.14
r = radius which is 3in
Volume = 4/3 × 3.14 × 3²
= 37.68
= 38 cubic inches to the nearest hundredth
Hope this helps
Answer:
38 cubic inches
Step-by-step explanation:
Please answer this question in two minutes
Answer:
work is shown and pictured
17. The length of a swing is 2.1 m. If the length
of the arc that is made by the swing
4.4 m, calculate the angle swept by the
swing
Answer:
dose it tell you want angle the arc is at?
Step-by-step explanation:
If x-14=y+196 and y is 14 times of x then x=WHAT??
Answer:
x is 226.154…
Step-by-step explanation:
1) x-14=y+196
x=y+196+14
x=y+210
2)x=14y
3) 14y=y+210 collect like terms together
14y-y=210
13y=210 divide both sides by 13
y=16.154
4)x=y+210 meaning:
x=16.154+210
=226.154
i'm desperate at this point :( Please help.
Answer:
C. 0.377
Step-by-step explanation:
20 people drive to work in suburban areas out of 53.
20/53 = 0.377358
PLEASE HELP ASAP SHOE YOUR WORK!!!! Best answer gets brainliest :)
Answer:
Height = 3cm
Volume = 50.27cm^3
Step-by-step explanation:
Well to solve for the height with slant height and radius we can use the Pythagorean Theorem,
Which is [tex]a^2 + b^2 = c^2[/tex].
So we have c and a, so we have to fill those in.
(4)^2 + b^2 = (5)^2
16 + b^2 = 25
-16
b^2 = 9
[tex]\sqrt{b} \sqrt{9}[/tex]
b = 3cm
So to find the volume of a cone we use the following formula [tex]\pi r^2 \frac{h}{3}[/tex].
So we have the radius and height so we just fill those in.
(pi)(4)^2(3)/3
(pi)16(1)
pi*16
About 50.27cm^3
Please answer the question now in two minutes
Answer:
Coordinates of point P is [tex](-14,3)[/tex].
Step-by-step explanation:
Given that mid point of line segment [tex]\overline {PQ}[/tex] is at M(-9, 8.5).
Q is at (-4, 14).
Let coordinate of P be [tex](x,y)[/tex].
Using the ratio, we can say the following:
The coordinates of mid point [tex](X,Y)[/tex] of a line with endpoints [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:
[tex]X=\dfrac{(x_1+ x_2)}{2}[/tex]
[tex]Y=\dfrac{(y_1+ y_2)}{2}[/tex]
Using the formula for above given dimensions:
[tex]-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14[/tex]
[tex]8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3[/tex]
So, the coordinates of point P are [tex](-14,3)[/tex].
2. Solve 4(3c + 10) < 12c + 40.
use photo for Choices
Answer:
no solution
Step-by-step explanation:
4 (3c + 10) < 12c + 4012c +40 < 12c +4012c- 12c < 40 -40 0 < 0Left and right sides are equal so no solution
Answer:No solution
Step-by-step explanation: I got it right on the test :)
For the diagram shown, which pairs of angles are vertical angles? Select all that apply. Angle1 and Angle3 Angle2 and Angle4 Angle2 and Angle3 Angle5 and Angle7 Angle5 and Angle8 Angle8 and Angle6
Answer:
2 & 4
1 & 3
5 & 7
8 & 6
Vertical angles are formed in a set of intersecting lines. They are two differrent angles that are opposite of eachother but have the same angle.
Angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:
<1 and <3
<2 and <4
<5 and <7; and
<8 and <6
Recall:
Angles that are regarded as pairs of vertical angles share the same vertex and are directly opposite each other at the point of intersection of two straight lines.
From the image given,<1 and <3 are directly opposite each other and share same vertex.
<1 and <3 are therefore are a pair of angles that are vertical angles.
In the same vein, the following pairs:<2 and <4; <5 and <7; and <8 and <6 are all directly opposite each other. They are vertical angles pair.
Therefore, angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:
<1 and <3
<2 and <4
<5 and <7; and
<8 and <6
Learn more here:
https://brainly.com/question/2889556
Which of the polygons listed below have at least four sides? Triangles Quadrilaterals Pentagons Hexagons Heptagons
Answer:
"Correct"
Triangles: Have three (3) sides
Quadriliaterals: QUAD being the key word means four (4)
"Incorrect"
Pentagons: Have five (5) sides
Hexagons: Have six (6) sides; key word being HEX
Heptagons: 7 sides (7)
Step-by-step explanation:
need help use screenshot(SAT Prep) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. bd equals?
Answer:
5.36
Step-by-step explanation:
Given that:
<BAD = <CAE, therefore, BD = EC
Let's take x to be the length of BD = EC
BD + DE + EC = BC
BC = 20,
BD = EC = x
DE ≈ 9.28
Thus,
x + 9.28 + x = 20
x + x + 9.28 = 20
2x + 9.28 = 20
Subtract 9.28 from both sides
2x + 9.28 - 9.28 = 20 - 9.28
2x = 10.72
Divided both sides by 2 to solve for x
[tex] \frac{2x}{2} = \frac{10.72}{2} [/tex]
[tex] x = \frac{10.72}{2} [/tex]
[tex] x = 5.36 [/tex]
BD ≈ 5.36
What is the distance between (-6, 4)(−6,4)left parenthesis, minus, 6, comma, 4, right parenthesis and (-8, 6)(−8,6)left parenthesis, minus, 8, comma, 6, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A 222 (Choice B) B 333 (Choice C) C \sqrt{4} 4 square root of, 4, end square root (Choice D) D \sqrt{8} 8
Answer:
D. [tex]\sqrt{8}[/tex]
Step-by-step explanation:
We want to find the distance between (-6, 4) and (-8, 6).
First, we find the difference:
d = (-8 - (-6), 6 - 4)
d = (-8 + 6, 2)
d = (-2, 2)
We now find the magnitude:
[tex]|d| = \sqrt{x^2 + y^2}[/tex]
where x = x coordinate, y = y coordinate
[tex]|d| = \sqrt{(-2)^2 + (2)^2} \\\\|d| = \sqrt{4 + 4} = \sqrt{8}[/tex]
The answer is Choice D.
Answer:
D
Step-by-step explanation:
Khan said it was correct :)
Matt has c baseball cards, and Jen has 9 fewer than 5 times as many cards as Matt. Jen gives Matt 14 cards. How many cards does Jen have now?
Answer:
Jen has 5c -23 cards now
Step-by-step explanation:
Matt has c baseballs.
Jen has 9 fewer than 5 times as Matt.
Mathematically, what Jen has will be 5c -9 baseballs
Now, Jen gives Matt 14 cards. This means that she lost 14 of her cards and we are going to subtract.
The number of cards she has now is thus 5c-9-14 = 5c -23 cards
Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
PLEASE HELP ME ASAP FOR BRAINLIEST
Answer:
First one: true Second one: true
Step-by-step explanation:
First Question: the lines will be parellel even though the shape grows or gets smaller
Second Question: the angle will stay the same even if it grows into a larger or smaller shape.
Which correlation coefficient implies that the data points are closest to the line that is used to model the
points?
r≈0.3
r≈ 0.87
r≈-0.52
r≈-0.9
Answer:
r= 0.87
Step-by-step explanation:
It has the strongest correlation, which means it is closest to the line.
I WILL MARK YOU AS BRAINLLEST
What is the parent function of the graph? y = |x| y = |x – 4| y = |x| – 4 y = |x| + 4
Answer:
y= | x |
Step-by-step explanation:
What is the parent function of the graph?
y = |x| y = |x – 4| y = |x| – 4 y = |x| + 4----------
a parent function is the simplest function of a family of functions that preserves the definition of the entire family.The parent function is:
y= | x | as it is the simplest one and all the others can be generated from thisVolume of this prism
Answer:
840 cm³
Step-by-step explanation:
To find it's volume , let's just divide the whole prism into two rectangular prisms.
Rectangular Prism 1:
Volume = [tex]Length * Width * Height[/tex]
Volume = 8 * 15 * 6
Volume = 720 cm³
Rectangular Prism 2:
Volume = [tex]Length * Width * Height[/tex]
Volume = 5 * 4 * 6
Volume = 120 cm³
Whole Prism:
Volume = 720+120
=> 840 cm³
Answer:
840 cm^3
Hope this helps :)
In a collection of 1050 flowers, 3/10 of them are red , 2/5 of them are
white and the rest are yellow. Find the no. of red, white and yellow flowers
Answer:
315 red flowers420 white flowers315 yellow flowersStep-by-step explanation:
1050 flowers
3/10 of them are red=> 3/10 *1050=3*105=315 red flowers
2/5, (or 4/10), are white =>4/10 * 1050=4*105=420 white flowers
=> 1050-(315+420)=1050-735=315 yellow flowers
A company rounds its losses to the nearest dollar. The error on each loss is independently and uniformly distributed on [–0.5, 0.5]. If the company rounds 2000 such claims, find the 95th percentile for the sum of the rounding errors.
Answer:
the 95th percentile for the sum of the rounding errors is 21.236
Step-by-step explanation:
Let consider X to be the rounding errors
Then; [tex]X \sim U (a,b)[/tex]
where;
a = -0.5 and b = 0.5
Also;
Since The error on each loss is independently and uniformly distributed
Then;
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
where;
n = 2000
Mean [tex]\mu = \dfrac{a+b}{2}[/tex]
[tex]\mu = \dfrac{-0.5+0.5}{2}[/tex]
[tex]\mu =0[/tex]
[tex]\sigma^2 = \dfrac{(b-a)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5+0.5)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(1.0)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{1}{12}[/tex]
Recall:
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
[tex]n\mu = 2000 \times 0 = 0[/tex]
[tex]n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}[/tex]
For 95th percentile or below
[tex]P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95[/tex]
[tex]P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95[/tex]
[tex]P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05[/tex]
From Normal table; Z > 1.645 = 0.05
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645[/tex]
[tex]{P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}[/tex]
[tex]{P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }[/tex]
[tex]\mathbf{P_{95} = 21.236}[/tex]
the 95th percentile for the sum of the rounding errors is 21.236
Decide whether the primary or secondary data is most suited for the hypothesis below. The number of cars that drive past your house on Monday morning is more than on Tuesday morning is it PRIAMRY OR SECONDARY???????
Answer:
Primary source
Step-by-step explanation:
This is because it says "your" house, it means that you are the one looking and counting at the number of cars.
If this was not said "your", there is a higher chance that it is a secondary source, but in this case, it is a primary source.
Its Primary source
HOPE IT HELPS
If x + y = 6 and xy = 3, then the value of | x − y | it is
Answer:
2√6
Step-by-step explanation:
x + y = 6
xy = 3
Square the first equation.
x² + 2xy + y² = 36
Subtract 4xy from both sides.
x² − 2xy + y² = 36 − 4xy
Factor.
(x − y)² = 36 − 4xy
Substitute.
(x − y)² = 36 − 4(3)
(x − y)² = 24
Take square root.
x − y = ±√24
x − y = ±2√6
Take absolute value.
|x − y| = 2√6
pipefitter must connect two pipes as shown. The run is 35 feet while the set is 23 feet. How long a pipe will he need, C, and what will be the connecting angles, "a" and "b"? Round to the nearest hundredth. Enter your answers in the order: C, a, b.
The attached picture was omitted from the question.
Answer:
C = 41.88 feet
a = 33.1°
b = 56.9°
Step-by-step explanation:
From the diagram, we have a right angle triangle.
C = hypotenuse
C = sqrt(35^2 + 23^2)
C = sqrt(1225 + 529)
C = sqrt(1754)
C = 41.88 feet
The connecting Angles:
Angle 'a'
Using tan = opposite / Adjacent
Tan a = 23 / 35
tan a = 0.6571428
a = tan^-1 (0.6571428)
a = 33.1°
Angle 'b' :
Sum of angles in a triangle = 180
a + b + 90 = 180
33.1 + b + 90 = 180
b + 123.1 = 180
b = 180 - 123.1
b = 56.9°
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation can be used to find the side lengths.
If one of the longer sides is 6.3 centimeters, what is the length of the base?
cm
Answer:
b=3.1 cm
Step-by-step explanation:
Both of the longer sides will be equal so you can set up the equation (6.3+6.3)+b=15.7. Simplified you get 12.6+b=15.7, subtracting 12.6 from both sides you get that b=3.1 cm. This can be checked because it is also shorter than 6.3 and works correctly in the perimeter.
what is the volume of the cylinder below?
the volume of the cylinder is d)168 units