Area of a triangle = 1/2 x base x height.
Replace are and base to get:
82.5 = 1/2 x 15 x height
Multiply both sides by 2:
165 = 15 x height
Divide both sides by 15:
Height = 165 / 15
Height = 11 inches.
What is the quotient when -3x^3+5x+14 is divided by x-2?
-3x^2-6x-7
-3x^2-x+12
-3x^2+6x-7+28/x-2
-3x^2-x+12+28/x-2
Answer:
-3x^2 -6x -7
Step-by-step explanation:
See the attachment for the synthetic division. Of course, polynomial long division will give the same result. Make sure you deal with the signs and the powers of x properly.
Find the missing terms of the arithmetic sequence 8, ____, ____, _____, 24
What is the 55 55th term of the sequence an=−1+3(n−1)
Answer:
The value of 55th term a₅₅ = 161
Step-by-step explanation:
It is given that,
aₙ = −1 + 3(n − 1)
To find 55th term
To find the 55th term we have to substitute 55 instead of n in the expression of an.
aₙ = −1 + 3(n − 1)
a₅₅ = −1 + 3(n − 1) = -1 + 3( 55 - 1)
= -1 + 3 * 54 = -1 + 162
= 161
Therefore the value of 55th term a₅₅ = 161
please I need help!!!! finding vectors, i will mark you as brainlest!!!!
Answer:
1. g
2. a
3. d
4. b
Step-by-step explanation:
If you can't do these in you head or on a graph, you can always let your calculator do it.
When adding vectors put the tail of one at the nose of the other. When subtracting, add the opposite. When adding or subtracting a multiple, just do the repeated addition or subtraction.
What happened when a bunch of numbers got lost in the desert and spent years wandering from oasis to oasis?
Answer:
they became "roamin' numerals"
Step-by-step explanation:
Solve the triangle given two angles and one side.
Answer:
a = 102.05
b = 393.76
B = 93°
Step-by-step explanation:
The law of sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
Since the sum of angles in a triangle is 180°, angle B must be ...
B = 180° -72° -15° = 93°
and the unknown sides must be ...
a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192
B = 93°
b = 375·sin(93°)/sin(72°) ≈ 393.75796
_____
The rounding requirement got cut out of your picture, so we can't help you with that.
Find the volume of a cube whose sides are each 4 centimeters long
Answer:
V =64 cm^3
Step-by-step explanation:
The volume of a cube is given by
V =s^3
We know the side length is s=4
V =4^3
V =64 cm^3
V = 64 cm ^ 3
V = s 3 x
s = 4
V = 4 ^ 3
V = 64 cm x 3
Each exterior angle of a regular n-gon shaped gazebo at Logan Park measures 22 1/2. Each exterior angle of a regular n-gon shaped gazebo at Cerro Park measures 15 15/23. By how many sides the gazebo at Logan Park is different from the gazebo at Cerro Park?
Answer:
the exterior angles of a polygon sum to 360
so the number of sides is 360/45
-PlushDna
Answer:
The difference in number of sides from one park to the next is 7
Step-by-step explanation:
For all polygon's the exterior angles combine to measure to 360 degrees. So to find the number of sides of each gazebo, we simply divide 360 by the measure of each individual exterior angle. We'll start with Logan Park.
360/22.5 = 16 sides
Now we can do the same with Cerro Park.
360/15.65 = 23 sides
Therefore, the difference in sides would be 7
23 - 16 = 7
Find the product. (p+5) (p-2) A.p2-3p B. p2+7p-10 C. p2-10 D. p2+3p-10
Answer:
D p^2 +3p -10
Step-by-step explanation:
(p+5) (p-2)
FOIL
First p*p = p^2
Outer -2*p = -2p
Inner 5*p = 5p
Last -2 *5= -10
Add them together
p^2 -2p+5p -10
p^2 +3p -10
Answer:
Their answer is correct.
Step-by-step explanation:
Use the given information to find the new price. Round to the nearest cent.
Original Price: $20
Discount Rate: 25%
The new price is $15.
What is a percentage?
A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Original Price: $20.
Discount Rate: 25%.
The discount amount,
= 25% of 20
= 5
The price,
= 20 - 5 = $15
Therefore, $15 is the new price.
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A store is having a sale on trail mix and jelly beans. For 2 pounds of trail mix and 3 pounds of jelly beans, the total cost is 13. For 4 pounds of trail mix and 8 pounds of jelly beans, the total cost is $33. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
trail mix: $1.25jelly beans: $3.50 per poundStep-by-step explanation:
The difference between double the first purchase and the second purchase is $7 and 2 pounds of jelly beans. Hence a pound of jelly beans is $3.50.
(4t +8j) -2(2t +3j) = (33) -2(13) . . . . . let t and j represent pounds of trail mix and jelly beans, respectively
2j = 7 . . . . . . . . . . simplify
j = 7/2 = 3.50
Using that value in the first purchase, we get ...
2t +3(3.50) = 13
2t = 13 -10.50
t = 2.50/2 = 1.25
A pound of trail mix is $1.25.
HELP ME WITH THIS QUESTION ASAP
ITS FACTORING A TRINOMIAL
AND I DONT UNDERSTAND IT PLZ HELP AND SHOW ME HOW U GOT IT.
THX
lola uses 44 beads to make a bracelet and 96 beads to make a necklace write an expression to show how you could calculate the total number of beads lola used to make 13 bracelets and 8 necklaces
Answer: 1,340 :)
Step-by-step explanation:
44*13= 572
96*8=768
572+768=1,340
Final answer:
The expression to calculate the total number of beads Lola used to make 13 bracelets and 8 necklaces is 13 × 44 + 8 × 96, with the total being 1340 beads.
Explanation:
To calculate the total number of beads Lola used to make 13 bracelets and 8 necklaces, we need to consider the number of beads used for one bracelet and one necklace individually. For one bracelet, Lola uses 44 beads, and for one necklace, she uses 96 beads.
For 13 bracelets: 13 (bracelets) × 44 (beads per bracelet) = 572 beadsFor 8 necklaces: 8 (necklaces) × 96 (beads per necklace) = 768 beadsNow, we add the two quantities together to get the total number of beads used:
572 beads (for bracelets) + 768 beads (for necklaces) = 1340 beads
Therefore, the expression to calculate the total number of beads used is 13 × 44 + 8 × 96.
Help me find y.......
Answer:
y ≈ 240.3 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between an angle and the sides adjacent and opposite is ...
Tan = Opposite/Adjacent
In this triangle, the interior angle at lower right is the same as the one marked at upper left: 31°. y is the side opposite that angle, and 400 ft is the side adjacent. Then the relation is ...
tan(31°) = y/(400 ft)
Multiplying by 400 ft gives ...
y = (400 ft)·tan(31°) ≈ 240.3 ft
_____
The triangle interior angle at lower right and the angle marked 31° are "alternate interior angles" relative to the transversal marked x and the (parallel) horizontal lines in the figure. Alternate interior angles always have the same measure.
In geometry problems like this one, it means the angle of elevation (above the horizontal) is equal to the angle of depression (below the horizontal).
HELP PLEASE.........
Answer: [tex]\bold{\dfrac{41}{80}}[/tex]
Step-by-step explanation:
[tex]\dfrac{puppies}{total}+\dfrac{kittens}{total}+\dfrac{unicorns}{total}\\\\\\=\dfrac{15}{80}+\dfrac{16}{80}+\dfrac{10}{80}\\\\\\=\large\boxed{\dfrac{41}{80}}[/tex]
Find the volume length 10 2/5 cm, width 3 cm, height 8 1/3 cm
Answer:
260 cm
Step-by-step explanation:
formula for finding volume:
l x w x h = v
l=length w=width h=height v=volume
[tex]10\frac{2}{5}[/tex] × 3 × [tex]8\frac{1}{3}[/tex]
[tex]10\frac{2}{5}[/tex] = [tex]\frac{52}{5}[/tex]
how did i do that?
cross multiply the whole number and the denominator together and add the product by the numerator.
[tex]8\frac{1}{3}[/tex] = [tex]\frac{25}{3}[/tex]
so, [tex]\frac{52}{5}[/tex] × [tex]\frac{25}{3}[/tex] × [tex]\frac{3}{1}[/tex]
cross simplify(dont have to do it just makes everything easier)
and you get:
[tex]\frac{52}{1}[/tex] × [tex]\frac{5}{1}[/tex] × [tex]\frac{1}{1}[/tex]
and you get [tex]\frac{260}{1}[/tex]
[tex]\frac{260}{1}[/tex] = 260 cm
plz give me a brainliesttttt
Answer:
Step-by-step explanation:
52/5 x 3/1 x 25/3= 3900/15= 260 cm^3
need 7 liters of paint how many gallons will i need
Answer:
1.85 gallons
Step-by-step explanation:
1 gallon = 3.785 liters
(7 liters)/(3.785 liters/gallon) = 1.85 gallons
Answer:
1.8492
Step-by-step explanation:
for an approximate result, divide the volume value by 3.785
Antuan deposited $2590 into a 3 year CD at an interest rate of 2.3% compounded quarterly.
How much interest did the account earn after the three years? Show your work.
Answer:
the interest rate is $183.89 =~ $ 184
Step-by-step explanation:
In this question, Antuan deposited $2590 into a 3 year CD (Certificate of Deposit) at an interest rate of 2.3% compounded quarterly. We need to find the interest account earned after 3 years.
Formula used will be :
[tex] Interest = P ( 1 + r/n) ^ n ^ t - P[/tex]
Where
P= Principal amount
r= interest rate (in decimals)
n= no of times the interest is compounded
t = no of years
Here we are subtracting P because we only need interest amount and not the future value.
Using this formula and finding the value will be:
P= $2590
r = 2.3 % or 0.023
n = 4
t = 3
[tex]Interest = 2590 * ( 1 - 0.023 / 4) ^ 4^ * ^ 3 - 2590[/tex]
[tex]Interest= 2590 (1.071) -2590\\Interest= 2773.89 - 2590\\Interest= 183.89[/tex]
So the interest rate is $183.89 =~ $ 184
To the nearest degree, what is the measure of each exterior angle of a regular heptagon?
Answer:
51°
Step-by-step explanation:
The sum of all exterior angles of any polygon is always 360°.
To find the measure of one of these angles, divide 360° by the number of sides of the polygon
In this case, we have 7 sides, so
m = 360°/7 = 51.42°, or 51° rounded to the nearest degree
Answer:
for ape x its 51
Step-by-step explanation:
Karen works at a toy story. She has 2 7/8 of marbles . She is making 1/16 pound packages . How many packages will she make?
Answer:
46 packages
Step-by-step explanation:
2 7/8= 23/8= 46/16...THUS SINCE SHE IS MAKING 1/16 POUND PACKAGES, SHE CAN MAKE 46 PACKAGES
HELP NEED NOW, WILL GIVE BRAINLIEST: The difference of measures between the arcs subtended by chord AB is 160°. Line l is tangent to the circle at point A. Find the measure of the angle between the tangent l and secant AB.
Answer:
50°
Step-by-step explanation:
As usual, the diagram is not drawn to scale.
The chord divides the circle into two arcs that have a sum of 360°. If we let "a" represent the measure of the smaller arc, then we have ...
a + (a+160°) = 360°
2a = 200° . . . . . . . . . . . subtract 160°
a = 100°
The measure of the angle at A is 1/2 the measure of the subtended arc:
acute ∠A = a/2 = (1/2)·100° = 50°
_____
Comment on this geometry
Consider a different inscribed angle, one with vertex V on the circle and subtending the same short arc subtended by chord AB. Then you know that the angle at V is half the measure of arc AB. This is still true as point V approaches (and becomes) point A on the circle. When V becomes A, segment VA becomes tangent line l, and you have the geometry shown here.
NEED ANSWER QUICKLY
The floor of a shed has an area of 70 square feet. The floor is in the shape of a rectangle whose length is 4 feet less than twice the width. Find the length and the width of the floor of the shed.
Answer:
length: 10 ft; width: 7 ft.
Step-by-step explanation:
Factorizations of 70 are ...
70 = 1·70 = 2·35 = 5·14 = 7·10
The last pair of numbers has the relation that 2·7 -10 = 4, so the numbers 7 and 10 can be used for width and length.
The length is 10 ft; the width is 7 ft.
A circle centered at (–1, 2) has a diameter of 10 units. Amit wants to determine whether (2, –2) is also on the circle. His work is shown below. The radius is 5 units. Find the distance from the center to (2, –2). The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius. Is Amit’s work correct? No, he should have used the origin as the center of the circle. No, the radius is 10 units, not 5 units. No, he did not calculate the distance correctly. Yes, the distance from the center to (2, –2) is not the same as the radius.
The distance from the center of the circle at (-1,2) to the point (2,-2) is 5 units and he did not calculate the distance correctly
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the first point be P = P ( -1 , 2 )
Let the second point be Q = Q ( 2 , -2 )
To find the distance from the center of the circle at (-1,2) to the point (2,-2), we can use the distance formula:
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Distance D = √[(2 - (-1))² + (-2 - 2)²]
Distance D = √[3² + (-4)²]
D = √[9 + 16]
D = √25 = 5 units
Therefore, the point (2,-2) does lie on the circle.
However, Amit's work does not account for the fact that the center of the circle is not at the origin, but rather at (-1,2). This means that the distance from (-1,2) to (2,-2) must be used to determine if the point is on the circle, not the radius of the circle.
No, he should have used the center of the circle at (-1,2) to calculate the distance.
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PLEASE HELP! I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER!!!!!
7 inches best 7 x 2 = 14 / 2 = 7 inches
100 POINTS AND TO WHOEVER SOLVES FIRST NEED NOW
Using Cramer’s Rule, what is the value of x in the system of linear equations below?
3X+4Y=12
x-6=-18
A). 0
B). 3
C). There is no solution to the system because |Ax|=0
D). There are multiple solutions to the system because |Ax|=0
Answer:
[tex]\large\boxed{A.\ 0}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right\\\\D=\left|\begin{array}{ccc}a&b\\d&e\end{array}\right|=ae-bd\\\\D_x=\left|\begin{array}{ccc}c&b\\f&e\end{array}\right|=ce-fb\\\\D_y=\left|\begin{array}{ccc}a&c\\d&f\end{array}\right|=fa-cd\\\\\text{If}\ D\neq 0\ \text{then the system of equations has one solution}\ x=\dfrac{D_x}{D}\ and\ y=\dfrac{D_y}{D}\\\\\text{If}\ D=0\ \text{and}\ D_x=0\ \text{and}\ D_y=0\ \text{then the system of equations has}\\\text{infinitely many solutions.}\\\\\text{If}\ D=0\ \text{and}\ D_x\neq0\ \text{or}\ D_y\neq0\ \text{then the system of equations has}\\\text{no solutions.}[/tex]
[tex]\text{We have}\\\\\left\{\begin{array}{ccc}3x+4y=12\\x-6y=-18\end{array}\right\\\\D=\left|\begin{array}{ccc}3&4\\1&-6\end{array}\right|=(3)(-6)+(1)(4)=-18+4=-14\\\\D_x=\left|\begin{array}{ccc}12&4\\-18&-6\end{array}\right|=(12)(-6)-(-18)(4)=-72+72=0\\\\x=\dfrac{D_x}{D}\to x=\dfrac{0}{-14}=0[/tex]
Using Cramer's Rule, the value of x in the given system of linear equations is approximately -5.09.
Explanation:To solve the system of linear equations using Cramer's Rule, we need to find the determinants of the coefficient matrix and the matrices obtained by replacing the corresponding column of the coefficient matrix with the constant matrix. Let's find the determinants:
Determinant of the coefficient matrix = |3 -4| = (3)(-6) - (4)(1) = -18 - 4 = -22
Determinant of the matrix obtained by replacing the x column = |-18 -4| = (-18)(-6) - (-4)(1) = 108 - (-4) = 112
Now, using Cramer's Rule:
x = Determinant of the matrix obtained by replacing the x column / Determinant of the coefficient matrix
x = 112 / -22 = -5.09
Therefore, the value of x in the given system of linear equations is approximately -5.09.
Timothy earns a weekly salary of $844 plus 4% commissions. Last week, he sold $3250 worth of products. What was his gross pay?
A. $163.76
B. $962.40
C. $974.00
D. 1039.00
The answer is C. His gross pay is $974.00.
Answer:
Step-by-step explanation:
Weekly Salary = 844 dollars.
Commision Rate = 4% = 0.04
Last week Sales = 3250 dollars.
Last week commission on sales = 0.04 x 3250 = 130 dollars.
Gross pay = Weekly Salary + Commission amount.
Gross pay = 844 + 130 = 974 dollars.
Hence, option C is correct i.e. 974.00 dollars.
Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.
ANSWER
8π ft
EXPLANATION
The circumference of a circle is calculated using the formula C=πd.
Where d=8 is the diameter of the circle.
We substitute d=8 into the formula to obtain,
C=8π ft.
Because we are looking for the exact circumference, we leave the answer in terms of π.
Answer:
The correct answer is,
circumference = 8π feet
Step-by-step explanation:
Formula:-
Circumference of a circle = 2πr
Or circumference = πd
Where 'r' is the radius of circle and 'd' is the diameter of circle
It is given that, diameter of circle is 8 feet
To find the circumference
Here d= 8 feet
Circumference = πd = π * 8 = 8π feet
I will mark BRAINLIEST and 20 points!! Please hurry!!
In the first week of its release, the latest video game sold $4.5 million dollars in games. The video game’s producers use the formula to predict the number of game sales t weeks after a new game’s release, where is the first week sales. What are the predicted game sales to the nearest $0.1 million for the fifth week of this game’s release? (Note: t = 0 for the first week.)
a. 0.6 million dollars
c. 6 million dollars
b. 0.9 million dollars
d. 0.4 million dollars
b. 0.9 million dollars
Answer:
Option a
Step-by-step explanation:
Given that in the first week of its release, the latest video game sold $4.5 million dollars in games.
[tex]P_t=P_0e^{-0.4t}[/tex]
To find out the predicted game sales to the nearest $0.1 million for the fifth week of this game’s release we have to substitute t =5
P0 = initial sales of games = 4.5 million
Thus substitute to get
[tex]P(5) =4.5 e^{-0.4*5} =0.609[/tex] million
Hence when rounded off to 0.1 million we have
0.6 million dollars
Option a
What expression shows the relationship between the value of any term and n, its position in the sequence?
A) 2n
B) 2n + 2
C) 3n
D) 4n
ANSWER
D) 4n
EXPLANATION
You can observe the following pattern from the table.
For the first term, we have,
[tex]1\to 4(1)[/tex]
For the second term, we have,
[tex]2\to 4(2) = 8[/tex]
For the third term, we have,
[tex]3\to 4(3) = 12[/tex]
For the fourth term,
[tex]4\to 4(4) = 16[/tex]
For the nth term, we will have,
[tex]n\to 4(n)[/tex]
The correct choice is D.
Answer:
Yo ________ en el mar.
A. nadó
b. nadé
c. nadamos
Step-by-step explanation:
Which expression is equivalent to 15 - -5
Answer:
See below.
Step-by-step explanation:
15 - -5
= 15 - 1(-5)
= 15 + 5
= 20.
Answer:
15--5
add the negatives so its positive.
15+5=20
Step-by-step explanation: