Answer: Tom has run 9 miles so far
Step-by-step explanation:
3/4 of 12 if equal to 9
Answer:
9 miles
Step-by-step explanation:
3 is 25 percent of 12.
to figure out how much he runs in 755 of two miles you multiply 3x3=9.
If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.
A=6 × + 10=88555%__/455
PLEASE HELP ME TO ANSWER THIS QUESTION.
A right pyramid PQRST has a rectangular base QRST. Given
that W is the midpoint of QS and RT, the lengths of QT = 8 cm,
TS = 6 cm and point P is vertically above point W, calculate
(a) PT, in cm, if PW = 12 cm
(b) the value of < PTR [angle PTR]
THANK YOU!!!
Answer:
(a) PT = 13 cm
(b) <PTR = [tex]39.7^{o}[/tex]
Step-by-step explanation:
(a) Applying the Pythagoras theorem to QST, we have;
[tex]QS^{2}[/tex] = [tex]ST^{2}[/tex] + [tex]QT^{2}[/tex]
= [tex]6^{2}[/tex] + [tex]8^{2}[/tex]
[tex]QS^{2}[/tex] = 36 + 64
100
QS = [tex]\sqrt{100}[/tex]
= 10
QS = 10 cm
Since QS = TR, then;
WT = [tex]\frac{1}{2}[/tex] TR
= [tex]\frac{1}{2}[/tex] x 10
WT = 5 cm
Thus, applying Pathagoras theorem to PWT;
[tex]PT^{2}[/tex] = [tex]PW^{2}[/tex] + [tex]WT^{2}[/tex]
= [tex]12^{2}[/tex] + [tex]5^{2}[/tex]
= 144 + 25
[tex]PT^{2}[/tex] = 169
PT = [tex]\sqrt{169}[/tex]
= 13
PT = 13 cm
(b) To determine <PTR, TR = 10 cm. Apply the required trigonometric function;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos θ = [tex]\frac{10}{13}[/tex]
= 0.7692
θ = [tex]Cos^{-1}[/tex] 0.7692
= 39.7179
θ = [tex]39.7^{o}[/tex]
Therefore, <PTR = [tex]39.7^{o}[/tex]
Use the rules for long divisions to divide 262by9
Answer: 29. 1
Step-by-step explanation:
Can anyone help me out here?
Answer:
J. 19.7
Step-by-step explanation:
SOH(sine = opposite side/hypotenuse) CAH TOA
sin 80° = RS/20
=> 0.985 = RS/20
=> RS = 20 × 0.985 = 19.7
320÷÷((11−9)32(11−9)32) x 8 =
320÷((11−9)32(11−9)32) x 8
320÷((352-288)(352-288) x 8
320÷(64 x 64) x 8
320÷4096 x 8
0.078125 x 8
0.625
Answer:0.625
2. Ask. Which of the following statements should occur?
A. x = 6:
B. x <3:
C. x> 0:
D. x ^ 2 x:
F. Leave the question unanswered
Find the area of the figure.
PLS I NEED HELP FAST!
55 ft
base + base2 / 2 x h
b. If the radius of a circle is r сm, what
is the measure of its circumference?
Answer:
[tex]2 \times \pi \: \times r[/tex]
is the circumference of the circle
Answer:
Step-by-step explanation:
If the radius of a circle is r cm then
circumference = 2πr
The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?
Answer:
Hello There!!
Step-by-step explanation:
The answer is 52.
hope this helps,have a great day!!
~Pinky~
DE is a midsegment of ABC . Find the value of x.
Answer:
if from a to e is 6 un, then x maybe 6 un as well
Step-by-step explanation:
An investor wants to invest up to $100,000 as follows:
X amount into a Certificate of Deposit (CD) that yields an expected annual return of 1% with a risk index of 1,
Y amount into a Bond with an expected annual return of 3% and a risk index of 4,
Z amount into a Stock with an expected annual return of 7% and a risk index of 8.
The investor’s objective is to maximize the total expected annual return of the investment.
However, to be prudent, the investor requires that:
The fraction of the total investment in X must be at least 20%.
The fraction of the total investment in Z must not exceed 50%.
The combined portfolio risk index must not exceed 5.
Required:
a. Set up this investment problem as a linear program, which has 3 variables, 3 basic constraints, and 4 special constraints.
b. Use an LP software to find the maximum expected annual return in dollars and the dollar values of X, Y, and Z for this best investment.
c. From the software solution, show the values of the dual variables for the four special constraints.
Answer:
a-The Linear Model is as follows:
[tex]X+Y+Z\leq 100,000\\{0.001X}\geq 20\\{0.001Z}\leq 50\\0.00001X+0.00004Y+0.00008Z\leq5\\X\geq0\\Y\geq0\\Z\geq0[/tex]
b-The values are
X=$33,333.33
Y=$16,666.67
Z=$50,000.00
Leading to a total expected return of $4333.33.
c-The values of constraints are as follows
X+Y+Z=33333.33+16666.67+50000=100,000
X=33%, Y is 16.67% and Z is 50%
Risk component of X is 0.33
Risk component of Y is 0.66
Risk component of Z is 4.00
Step-by-step explanation:
a
From the conditions, the first special constraint is the total amount which is that the sum of investments must not be more than the total available amount of $100,000 so
[tex]X+Y+Z\leq 100,000[/tex]
The second special constraint is that the percentage of X must be at least 20% So
[tex]\dfrac{X}{100,000}\times100 \geq20\\\dfrac{X}{1000} \geq20\\{0.001X}\geq 20[/tex]
The third special constraint is that the fraction of total investment of Z must not exceed 50% So
[tex]\dfrac{Z}{100,000}\times100 \leq50\\\dfrac{Z}{1000}\leq 50\\0.001Z\leq50[/tex]
The fourth special constraint is that the combined portfolio risk index must not exceed 5 so
[tex]\dfrac{X}{100,000}\times1+\dfrac{Y}{100,000}\times4+\dfrac{Z}{100,000}\times8\leq5\\0.00001X+0.00004X+0.00008Z\leq5[/tex]
As the investments cannot be negative so three basic constraints are
[tex]X\geq0\\Y\geq0\\Z\geq0[/tex]
The maximization function is given as
[tex]f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times1\%+\dfrac{Y}{X+Y+Z}\times3\%+\dfrac{Z}{X+Y+Z}\times7\%\\f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times0.01+\dfrac{Y}{X+Y+Z}\times0.03+\dfrac{Z}{X+Y+Z}\times0.07[/tex]
b
By using an LP solver with BigM method the solution is as follows:
X=$33,333.33
Y=$16,666.67
Z=$50,000.00
Leading to a total expected return of $4333.33.
c
The values of constraints are as follows
X+Y+Z=33333.33+16666.67+50000=100,000
X=33%, Y is 16.67% and Z is 50%
Risk component of X is 0.33
Risk component of Y is 0.66
Risk component of Z is 4.00
Not sure if this is the answer?
Answer:
x = 16
Step-by-step explanation:
Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:
(2 + x)*2 = 6²
4 + 2x = 36
Subtract 4 from both sides
2x = 36 - 4
2x = 32
Divide both sides
2x/2 = 32/2
x = 16
como usar a camera frontal do nokia?
Answer:
Toque para cambiar a la cámara frontal.
Step-by-step explanation:
14. The Manilow family paid their electric bill using balanced billing all last year. The monthly
payment was m dollars. At the end of the year, the electric company told them they used more
electricity than they were billed for, and they owed d dollars. Express the value of the electricity
used by the Manilows last year algebraically.
Z
Answer:
12mx
Step-by-step explanation:
Given that
The monthly payment was m dollars
And, they used more electricity
We need to determine the value that should be expressed in algebraically
The Monthly payment is m dollars
Using balance billing, it would be mx dollars
So, the equation is
= mx × 12
= 12mx
hence, the same would be relevant and considered too
Triangle UVW has a perimeter of 11.5 units. Solve for y.
Answer:
The answer for y is 4 units
Step-by-step explanation:
The obvious question to ask in this situation is, “how many miles does Joseph travel on Mondays”? To compute, we each distance: 3 + 6 + 6 = 15.
Joseph travels 15 miles on Mondays.
Another way to work with this situation is to draw a shape that represents Joseph’s travel route and is labeled with the distance from one spot to another.
Notice that the shape made by Joseph’s route is that of a closed geometric figure with three sides (a triangle) (see figure 2). What we can ask about this shape is, “what is the perimeter of the triangle”?
Perimeter means “distance around a closed figure or shape” and to compute we add each length: 3 + 6 + 6 = 15
Our conclusion is the same as above: Joseph travels 15 miles on Mondays.
However, what we did was model the situation with a geometric shape and then apply a specific geometric concept (perimeter) to computer how far Joseph traveled.
Answer:
4 units
Step-by-step explanation:
6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...
Step-by-step explanation:
[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]
The vertices of a quadrilateral are M(-1,1), N(1,-2),O(5,0), and P(3,3).
Which statement describes quadrilateral MNOP?
Quadrilateral MNOP is a rhombus, but not a square.
Quadrilateral MNOP is a rectangle.
Quadrilateral MNOP is a trapezoid.
Quadrilateral MNOP is a parallelogram, but not a rectangle
Answer:
Quadrilateral MNOP is a rectangle.
Step-by-step explanation:
Quadrilateral MNOP is a parallelogram, but not a rectangle.
What is a rhombus?
A rhombus is a quadrilateral with all equal sides but angles not right angles. Diagonals of a rhombus intersect at 90°.
M(-1,1), N(1,-2),O(5,0), and P(3,3)
MN=√13
NO=√20
OP=√13
PM=√20
This means opposite sides are equal.
Slope of MN = -2/3
Slope of NO=2
The Slope of MN * The Slope of NO =-4/3 ≠ -1
This means the angle between adjacent sides is not equal to 90°
This means MNOP is not a rectangle
The Slope of MO = -6
The Slope of NP = 2/5
The Slope of MO * The Slope of NP =-12/5 ≠ -1
This means diagonals do not intersect at right angles.
This means MNOP is not a rhombus.
Slope of MN = -2/3
Slope of OP = -2/3
Slope of MN =Slope of OP
Similarly, Slope of MP =Slope of NO
So, quadrilateral MNOP is a parallelogram, but not a rectangle.
Thus, quadrilateral MNOP is a parallelogram, but not a rectangle.
To get more about rhombus visit:
https://brainly.com/question/20627264
Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12
Answer:
solution given:
by using Pythagoras law:
h²=p²+b²
x²=8²+4²
x=√80units
What is the approximate circumference of a circle that has a center at (6,2) and passes through the point (20,2)? (Use 3.14 as an approximation for pi)
answers : 126,88,63,44
Answer:
C = 88
Step-by-step explanation:
So, we know that the circle passes thru the point (20,2), and it's center is (6,2).
The general definition of a circle's radius is the distance from the center to any point on the circle!
Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!
[tex]20 - 6 = 14\\r=14[/tex]
Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:
[tex]r2\pi \\or\\d\pi[/tex]
Insert the values into the equation....
[tex]C = 3.14(14)(2)\\C=87.92[/tex]
87.92 ≈ 88.00
Have a nice day, fam. Spread The Love <3
Ill give brain just helpppp
Answer:
Hey, gm!
Step-by-step explanation:
With what? Let me know :)
Have a nice day <3
The veterinarian’s practice had dog and cats clients. The number of dog clients was 5/6 of the number of cat clients. If the total number of clients was 924, how many dog clients and how many cat clients did the veterinarian have?
Answer:
Dog Clients = 770
Cat Clients = 154
Step-by-step explanation:
1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.
2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154
13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?
Answer:
Step-by-step explanation:
80% of 25 = 5
because 10% of 25 = 2.5
and then 10 x 8 = 80
so 2.5 x 8 = 20
25 - 20 = 5
therefore, the percentage change is 80%
GIVE BRAINLIEST
hope this helped,
-cheesetoasty
please help me In exponents we have to write
Answer:
1. -3/13
2. (simplified) 8 / (exponential form) 2^3
3. 1265625/16384
4. 5
Step-by-step explanation:
no need for explanation just try the app Photo math (no space in the photo and math)
Which of the following rules describes the function graphed below?
Output = Input
Output = 2 • Input − 1
Output = Input + 2
Output = 3 • Input − 2
Answer:
Output= 3 • Input - 2
Step-by-step explanation:
x | y
3 • x - 2
--------------
1 | 1
2 | 4
3 | 7
4 | 10
Answer: last option - output=3 · input - 2
Step-by-step explanation:
answer pls i will give brainliest!
Answer:
surface tension
Step-by-step explanation:
It seems to defy the laws of physics, but a paper clip made of steel can indeed float on the water surface. The high surface tension helps the paper clip - with much higher density - float on the water.
The cohesive forces between liquid molecules are responsible for the phenomenon known as surface tension. The molecules at the surface of a glass of water do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them (in this case, next to and below them, but not above). It is not really true that a "skin" forms on the water surface; the stronger cohesion between the water molecules as opposed to the attraction of the water molecules to the air makes it more difficult to move an object through the surface than to move it when it is completely submersed.
SOLVE
270.6 is 16 1/2% OF WHAT NUMBER?
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
Answer:
approximately
1623.6
Step-by-step explanation:
16 1/2%=.165 which is approximately equal to 1/6, so we can just multiply the original number by 6.
Find the volume of the figure to the nearest tenth.
Answer:
150.8
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi \:{r}^{2} \\ v = \frac{4}{3} \pi \:{6}^{2} \\ v = 150.8[/tex]
Hopefully this'll help you out!
PLZ HELP I WILL MARK BRAINLIEST
Answer:
Image wont load can you explain the problem to me through comments pls?
Step-by-step explanation:
Maria had $3,500 and invested it into an account with an annual
interest rate of 1.2%. If her investment were compounded monthly,
write an eqaution to find the value of her investment after t years.
Answer:
FV= $3,716.32
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,500
Interest rate (i)= 1.2% compounded monthly
First, we need to determine the monthly nominal interest rate:
Monthly interest rate= 0.012/12= 0.001
Now, to calculate the future value after 't' months, we need to use the following formula:
FV= PV*(1 + i)^t
For example, for 60 months:
FV= 3,500*(1.001^60)
FV= $3,716.32
Carl is buying a couch for $650
with a sales tax rate of 7.5%. How
much will Carl spend on sales tax?
Answer:
All you have to do is find out what 7.5 percent of 650 is.
Step-by-step explanation:
The answer would be 48.75 in sales taxes