Find TV is TJ = 4 .
Answer:
TV = 6
Step-by-step explanation:
The distance from the vertex to the centroid is twise the distance from the centroid to the midpoint, then
JV = [tex]\frac{1}{2}[/tex] TJ = [tex]\frac{1}{2}[/tex] × 4 = 2
Then
TV = TJ + JV = 4 + 2 = 6
A certain forest covers an area of 2300 km. Suppose that each area decreases by 5.75%. What will be the area after 12 years?
Answer:
The correct answer is 2043 km².
Step-by-step explanation:
Given:
Starting area,
A = 2300 km²
Rate of decreasing,
r = 5.75%
Time,
t = 12 years
As we know,
⇒ [tex]y = A(1-r)^t[/tex]
By substituting the values, we get
[tex]=2300(1-0.0575 )^{12}[/tex]
[tex]=2300(0.9425)^{12}[/tex]
[tex]=2300\times 0.8883[/tex]
[tex]=2043 \ km^2[/tex]
what is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question.
a. 0.02
b. 0.14
c.0.34
d.0.84
You want to find Pr[-2 < Z < -1].
The table tells you that
• Pr[Z < 0] = 0.5000
• Pr[Z < 1.00] = 0.8412
• Pr[Z < 2.00] = 0.9772
• Pr[Z < 3.00] = 0.9987
We have
Pr[-2 < Z < -1] = Pr[Z < -1] - Pr[Z < -2]
(because the distribution of Z is continuous)
… = Pr[Z > 1] - Pr[Z > 2]
(by symmetry of the distribution about its mean)
… = (1 - Pr[Z < 1]) - (1 - Pr[Z < 2])
(by definition of complement)
… = Pr[Z < 2] - Pr[Z < 1]
… = 0.9772 - 0.8412
… = 0.1360 ≈ 0.14 … … … (B)
Answer:
it's B aka 0.10.14
Step-by-step explanation:
Two legs of a right triangle measure 23 inches and 38 inches. What is the length of the hypotenuse, to the nearest
inch?
Answer:
hypotenuse ≈ 44 inches
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
let the hypotenuse be h , then
h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )
h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )
A club has 15 members and needs to choose 2 members to be co-presidents. In how many ways can the club choose its co-presidents?
Answer:
15 choose 2 = 105
[tex]=\frac{15!}{2!\left(15-2\right)!}[/tex]
Step-by-step explanation:
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.
The equation 2b + 6 = 70 represents the given scenario. What does b represent?
Answer:
seats in each bus
Step-by-step explanation:
total no.of seats = 64
so, the no.of seats in each bus = 64/2 =32
therefore , b denotes the no.of seats in each bus
PLEASE MARK ME AS BRAINLIEST .
In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?
Answer:
700 parts
Step-by-step explanation:
To find the total amount of parts in the shipment, all we need to do is divide.
6% = 0.06
42 / 0.06 = 700
Best of Luck!
what is the approximate circumference of the circle shown below?
Answer:
B. 56.52
Step-by-step explanation:
C = 2πr
C = circumferencer = radius of the circlethe constant pi = 3.14Therefore,
56.52 = 2(3.14)(9)
Feel free to message me if you still have questions :)
Mr Lorenzo must make a minimum of 48 circuit boards per day. On Wednesday he made 60. What percent of required minimum did he make
Answer:
He made 125% of the required minimum.
Step-by-step explanation:
Percentage:
The percentage that a number b is of a is given by:
[tex]P = \frac{100b}{a}[/tex]
In this question:
Minimum of 48, made 60. The percentage 60 is of 48 is:
[tex]P = \frac{100(60)}{(48)} = 100(1.25) = 125[/tex]
He made 125% of the required minimum.
How much money invested at 3% compounded monthly for 3 years will yield $520?
$179.42
$475.30
$358.84
$148.78
Answer:
Step-by-step explanation:
Use this formula:
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:
[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:
[tex]520=P(1+.0025)^{36[/tex] and a bit more:
[tex]520=P(1.0025)^{36[/tex] and even bit more:
520 = P(1.094551401) and divide to get
P = $475.30
Part D
What is the measurement of angle C?
Step-by-step explanation:
I think we are missing some information (angle F or B or a side length would be great).
but just the right angles are not enough to calculate specific numbers. they would depend on the angle F or e.g. the side length of AB.
without any further information F and AB can be freely changed without changing the known facts, but it changes also C, B, G
so, all I can say is C = 180 - B.
and that G = B.
Someone help me pls ..
Answer:
because they are both in the circle
Step-by-step explanation:
Taylor has nickels and dimes. The number of nickels is 7 less then eight times the number of dimes. If d represents the number of dimes then the number of nickels can be expressed as what
Answer: [tex]8d-7[/tex]
Step-by-step explanation:
Given
Taylor has nickels and dimes
Number of nickels is 7 less than eight times the number of dimes
If d is the number of dimes, then number of nickels is given by
[tex]\Rightarrow \text{Number of Nickels = }8d-7[/tex]
b2 is A= 1/2h(bl+b2), if A=16, h=4, and b1=3
b2=____
Answer:
b₂ = 5
Step-by-step explanation:
Substitute the given values into the formula
16 = [tex]\frac{1}{2}[/tex] × 4 × (3 + b₂)
16 = 2(3 + b₂) ( divide both sides by 2 )
8 = 3 + b₂ ( subtract 3 from both sides )
5 = b₂
shanika has a lamp that she wants to send to her sister in baltimore.the lamp is in the shape of a rectangular prism.it measures 14 high, 9 wide, and 3 long.she wants to buy a box so that there is 1 all around the lamp for bubble wrap
Consider we need to find the dimensions and volume of the box.
Given:
The shape of the lamp is a rectangular prism.
It measures 14 high, 9 wide, and 3 long.
There is 1 all around the lamp for bubble wrap
To find:
The dimensions and volume of the box.
Solution:
Length of the box is:
[tex]3+2=5[/tex]
Width of the box is:
[tex]9+2=11[/tex]
Height of the box is:
[tex]14+2=16[/tex]
Therefore, the dimensions of the box are 5 by 11 by 16 units.
The volume of the box is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]l=5, w=11, h=16[/tex], we get
[tex]V=5\times 11\times 16[/tex]
[tex]V=880[/tex]
Therefore, the volume of the box is 880 cubic units.
A football was kicked through the air and it followed the path h\left(s\right)=-3s^2+75h(s)=−3s 2 +75 . Let h\left(s\right)h(s) represent the height of the soccer ball after, s, seconds.
Complete question is;
A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.
Find the time at which the soccer ball hits the ground.
Answer:
s = 5 seconds.
Step-by-step explanation:
We are given the function;
h(s) = −3s² +75
Where;
h(s) is height at time s
s is the time taken
Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.
Thus;
−3s² +75 = 0
−3s² = -75
s² = 75/3
s² = 25
s = √25
s = 5 seconds.
Find the volume of a cone with a base radius of 4 ft and a height of 6 ft. I really need help with this asap. I will give 10 points to whoever can solve it...
Step-by-step explanation:
V=1/3 × πr²h
since H=6, R=4
V= π×(4)²×(6)/3
V=96π/3
V=32π
Note: ( we are not given the pie (π) value )
Answer:
Step-by-step explanation:
r = 4
h = 6
pi = 3.14
Formula
V = 1/3 pi r^2 h
V = 1/3 3.14 * 4^2 * 6
V = 1/3 * 3.14 * 16 * 6
V = 100.48
Somebody give the answer to the question attached please
How to find the exact answer of the area and circumference
I know how to find the approximate answer for both but i don’t know how to find the exact answer. Pi should be included in the exact fraction.
Can someone explain pls:)
Answer:
[tex]\pi \\[/tex] is irrational so any attempt to use 3.14... is never EXACT...
do not try to convert it ... if it asks for exact..
write 81[tex]\pi \\[/tex] or 9 [tex]\pi \\[/tex] etc. don't put in 63.62 like answers
Step-by-step explanation:
whats the perimeter and area of this shape?
Answer:
The perimeter 9+9+15+4+3+4pi=52.56 units.
The area is 25.12+135 which is 160.12 unit squared.
Step-by-step explanation:
Perimeter of this shape = perimeter of half circle + perimeter of the rectangle
Diameter of circle = 15-4-3 = 8
Radius of circle = 8/2 = 4
Perimeter of the shape = (2 x pi x 4)/2 + 15 + 9 + 9 + 4 + 3
= 4pi + 40 = 52.56 units (substitute pi = 3.14)
Area of shape = area of half circle + area of rectangle
= (pi x 4 x 4)/2 + (9 x 15)
= 25.12 + 135 = 160.12 unit squared
Select the correct answer.
Function h is a transformation of the parent exponential function, f(x) = 2^x.
.h(x)=-3.2^x
-
Which statement is true?
michael borrowed $4,500 from the bank. the back charged a simple interest rate of 10.5% for the 3 years he had the back loan. what was the total cost of the loan ? HURRY .
Answer:
$1417.50+$4500= 5917.50
What is sin 28°?
62
8
17
90
15
28
A.
Sooden
O c.
O
Answer:
the sin of 28 degree is 28
Step-by-step explanation:
it's the same degree in radians I hope this help
Determining if a Relationship Is a Function
Which represents a function?
Answer:
only the first one...
a "FUNCTION" has a UNIQUE relation between each input and output...
notice the middle one the -2 goes to BOTH th2 10 & -7 that makes it NOT a FUNCTION
Step-by-step explanation:
Find the value of x.
B
X+2
3
D
E
х
2
А
x = [?]
Answer:
x = 4
Step-by-step explanation:
The line DE is parallel to AC and divides the sides proportionally, that is
[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values
[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )
x = 4
Triangle PQR has the following coordinates:
P (-9,-12) Q(-6, -13) R(-7, -4)
Where is Q' after a rotation 90° clockwise?
Answer:
(-13,6)
Step-by-step explanation:
Rule for rotation 90 degrees clockwise around the origin
( x , y ) --------> ( y , -x )
Explanation of rule:
Swap the x and y values
Change sign of new y value
Find Q' after a rotation 90 degrees clockwise around the origin
Given coordinates of Q
(-6,-13)
Apply rotation 90 degree clockwise rule
(-6,-13) -------> swap x and y values -------- -> (-13,-6) -------> change sign of new y value --------> (-13,6)
Q' will be at (-13,6) after a rotation 90 degrees clockwise around the origin
Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.
The diagram as described in the problem.
Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB
An amusement park charges and admission fee of 30 dollars for each person. Let C be the cost (in dollars) of admission for P people. Write an equation relating C to P.
Answer:
14
Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
Can someone help me please
Answer:
ok
Step-by-step explanation:
Find the value of x for the right triangle.