Answer: D
Step-by-step explanation:
word problems ANSWER ASAP
"In still water, Derek can paddle his canoe at 6.5 km/h. On a river, the canoe travels faster downstream than upstream because of the current. In the morning Derek travels upstream and takes 5 hours and then in the afternoon Derek travels downstream the same distance and takes 2 hours. What is the speed of the current? Answer to the nearest tenth."
P L E A S E H E L P
A rectangle has perimeter 68 meters, and its area is 280 sq-meters. find the dimensions of this rectangle. (for purposes of this problem only, the width is shorter than the length.)
Final answer:
The rectangle's length to be 20 meters and the width to be 14 meters.
Explanation:
We are given that a rectangle has a perimeter of 68 meters and an area of 280 square meters, and we need to find its dimensions. Let's call the length of the rectangle L and the width W.
The perimeter (P) of a rectangle is given by the formula P = 2L + 2W. We know the perimeter is 68 meters, so we can write the equation:
1. 68 = 2L + 2W
The area (A) of a rectangle is given by the formula A = L × W. We know the area is 280 square meters, so we can write the equation:
2. 280 = L × W
To find L and W, we solve these two equations simultaneously.
Divide the perimeter equation by 2 to simplify:
34 = L + W
We can then express W in terms of L using this equation:
W = 34 - L
Substitute this into the area equation:
280 = L × (34 - L)
This gives us a quadratic equation:
L2 - 34L + 280 = 0
Solving this quadratic equation, we find that L = 20 and W = 14 or L = 14 and W = 20. Since the width is shorter than the length, the dimensions of the rectangle are length 20 meters and width 14 meters.
What is measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
What is measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Both questions use the same pic
Given is a Right triangle PQR with angle Q = 90 degrees.
Given are sides PQ = 8 cm, QR = 15 cm, PR = 17 cm.
Side PR is the hypotenuse.
We can use formula for "sin" given as follows :-
[tex] sin(\theta)=\frac{Opposite}{Hypotenuse} [/tex]
For angle R, opposite side would be PQ.
[tex] sin(R)=\frac{PQ}{PR} \\\\
sin(R)=\frac{8}{17} \\\\
sin(R)=0.470588235 \\\\
R=sin^{-1}(0.470588235) \\\\
R = 28.07248694 \;\;degrees \approx 28.07 \;degrees [/tex]
For angle P, opposite side would be QR.
[tex] sin(P)=\frac{QR}{PR} \\\\
sin(P)=\frac{15}{17} \\\\
sin(P)=0.882352941 \\\\
P=sin^{-1}(0.882352941) \\\\
P = 61.92751306 \;\;degrees \approx 61.93 \;degrees [/tex]
Hence, R = 28.07 degrees and P = 61.93 degrees.
To solve the problem we must know about Trigonometric functions.
Trigonometric functions[tex]\rm {Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\rm {Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\rm {tan\theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of the ∠R is 28.0724°.The value of the ∠P is 61.9275°.Given to usPR = 17 cmQR = 15 cmPQ = 8 cm1. For ∠RFor ∠R, the opposite side will be PR, therefore, PR will be the Perpendicular,
Substituting the values in the formula of Sine,
[tex]\rm {Sin (\angle R)=\dfrac{PQ}{PR}\\\\ [/tex]
[tex]\rm {Sin (\angle R)=\dfrac{8}{17}\\ [/tex]
[tex]\rm {(\angle R)=Sin^{-1} \dfrac{8}{17}\\ [/tex]
[tex]\rm {(\angle R)=28.0724^o [/tex]
Hence, the value of the ∠R is 28.0724°.
2. For ∠PFor ∠P, the opposite side will be QR, therefore, QR will be the Perpendicular,
Substituting the values in the formula of Sine,
[tex]\rm {Sin (\angle P)=\dfrac{QR}{PR}\\\\ [/tex]
[tex]\rm {Sin (\angle P)=\dfrac{15}{17}\\ [/tex]
[tex]\rm {(\angle P)=Sin^{-1} \dfrac{15}{17}\\ [/tex]
[tex]\rm {(\angle R)=61.9275^o [/tex]
Hence, the value of the ∠P is 61.9275°.
Learn more about Sine function:
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PLEASE HELP FAST!!!!
As a pendulum swings , the angle (theta) that it makes with the vertical changes through its swing. The force of gravity pulling on the bob is given by F=mg sin (theta), where g is equal to 9.8m/s^2. If the mass of the pendulum is 0.01 kg, what is the force pulling on the pendulum when it makes a 22.5 degree angle with the vertical?
Answer:
Answer B
Step-by-step explanation:
The already given answer is correct, but if you need to know what answer it is without getting your calculator out, its B, or
0.049 (square)2 -(square) 2 N
0.049√2-√2 N
I Will make you the BRAINLIEST!!!!pls answer:a movie Angelo brought a medium popcorn for $4 and a small drink for $3 and a box of fruit snacks for $5 write and solve a subtraction equation to find how much money Angela gave the cashier if you received $3 in change.
If 300 cubes can fit in the rectangular prism below what is the edge length of each cube
Answer:
Basic common sense just by looking at the dimensions
Step-by-step explanation:
...
A. 1/64in
B. 7/400in
C. 1/4in
D.4 11/16
HELP ASAP PLZ
what values of a, b, and c would you use in the quadratic formula for the following equation? 5x^2+9x=4
1. a=-4,b=9,c=5
2.a=5,b=9,c=-4
3.a=5,b=-4,c=9
4.a=5,b=9,c=4
The standard form is given by :
[tex] ax^{2} +bx +c=0 [/tex]
So we have to convert given equation in this form by bringing all terms to one side and making 0 on the other side.
[tex] 5x^{2} +9x=4 [/tex]
Now we have to bring 4 to the left side,
subtracting 4 on the left,
[tex] 5x^{2} +9x-4=0 [/tex]
Comparing our equation with standard form,
Answer : a=5, b=9 and c=-4 ( second option is right )
HURRRY QUICK!!!!!!
HELP ME ON THIS!!!!!!!!!!!!!!!!!!!!
A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown.
The side opposite the 30° angle measures 41 feet.
A) find the length of the side of the lot opposite the 60° angle.(show how I know).
B) find the length of the hypotenuse of the triangular lot.(show how I know)
Please help me figure this out because everything I've tried doesn't work. I NEED TO FINISH THIS TO GRADUATE PLEASE PLEASE PLEASE HELP ME!
A perpendicular bisector, CD , is drawn through point C on AB.
If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of CD is ____ . Point ___ lies on CD.
Part 1 options
(3,0)
(18/5,0)
(9,0)
(45/2,0)
Part 2 options
(-52,141)
(-20,57)
(32,-71)
(54,-128)
Twelve times the number of days decreased by five
Please help asap. Means a lot <3
Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from
A) 4
b) square Root of 18
C) 8
D) Square root of 68
Math) The school principal wants to know whether the students in the entire school prefer football or basketball. The principal draws a random sample from the following groups: All school teachers All girls in each grade All students in each grade All students on the basketball team Which of the following groups best represents the population she should take a random sample from to get the best results for her survey? All school teachers All girls in each grade All students in each grade All students
What proportional segment lengths verify that QS¯¯¯¯¯∥MN¯¯¯¯¯¯¯ ?
Enter your answers in the boxes.
__ __
1.5=
the proportional segments for the given diagram is
[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]
Given:
In the given diagram , QS is parallel to MN
when a line that intersects two sides of the triangle is parallel to third side then the sides are in proportion
From the given the sides are in proportion
[tex]\frac{RM}{MQ} =\frac{RN}{NS} \\\frac{9}{1.5} =\frac{12}{2}[/tex]
so the answer for the given diagram is
[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]
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I got no idea on this! Please help!! 20 points.
Say you own 316 shares of Esti Transport stock, which offers an annual dividend of $8.16 per share. How much will you receive in quarterly dividends?
Answer:
$644.64
Step-by-step explanation:
Total shares=316
Annual Dividend on 1 share =$8.16
Annual Dividend on 316 shares=$8.16*316
=$2578.56
As there are four quarters in a year, the total annual dividend will be divided by 4 to get the quarterly dividend.
Quarterly Dividend for 316 shares= 2578.56/4
=$644.64
Answer:
the answer is c
Step-by-step explanation:
how many triangles can you make with 3cm, 4cm and 11cm
Solve for this equation for x round your number to the nearest hundredth 0.98=log x
Final answer:
To solve 0.98 = log x, you determine the number x for which 10 raised to the power of 0.98 equals x. Using a calculator, you find that x is approximately 95.50.
Explanation:
To solve the equation 0.98 = log x, we need to find the value of x such that when you take the common logarithm (base 10) of x, you get 0.98. A common logarithm is a logarithm with base 10, and the equation informs us that x is 10 raised to the power of 0.98 since y = log10(x) can be rewritten as x = 10y.
To find x, we can use the inverse operation of logarithm, which is exponentiation. We can express this process as follows:
x = 100.98
Using a calculator with exponentiation functionality, we enter the value of 0.98 and use the 10x function (sometimes labeled as INV or SHIFT followed by the LOG key).
The result is that x is approximately 95.50 when rounded to the nearest hundredth.
4. The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.
A. 16
B. 28.5
C. 2.8
D. 12.7
Twenty-four students took a test. Fourteen students earned an A and 10 students earned a
b.A student will be randomly chosen.What is the probability that the student earned an A on the last test? Enter your answer as a fraction , in simplest form , in the box .
how much would 600 invested at 8% interest compounded continuously be worth after 3 years? round your answer to the nearest cent.
Choose as many answers as apply.
Which of the following are normal payroll deductions?
taxes
pension fund contributions
group health insurance premiums
Book of the Month Club
The payroll deductions among the given choices are Taxes, health insurance premiums and pension fund contributions.
Step-by-step explanation:Payroll deductions are those amounts which are deducted from an employee's payroll amount. These amounts are usually withheld by the employer where the employee works. Payroll deductions include insurance pension contributions, wage assignments, child support payments, taxes, and union and uniform dues.
Please help ASAP!!! 14 points ):
A rectangular piece of plastic has an area of 10 square millimeters and a perimeter of 22 millimeters. What are the dimensions of the piece of plastic? millimeters by millimeters
The dimensions of the rectangular piece of plastic are either 2mm by 5mm or 5mm by 2mm, based on the given area and perimeter.
Explanation:We'll use the formula for the perimeter of a rectangle: 2(length + width) = perimeter and the formula for area: length x width = area. Given we have area of 10mm2 and perimeter of 22mm, we can set up two equations. Let's denote the length as 'L' and the width as 'W'.
Formula of perimeter of a rectangle: 2(L + W) = 22
Formula of area of a rectangle: L * W = 10.
We solve these two equations simultaneously. We get two possible solutions: Dimensions could be either {2mm, 5mm} or {5mm, 2mm}. Either the length is 5mm and the width is 2mm, or the length is 2mm and the width is 5mm.
Learn more about Rectangle Dimensions here:https://brainly.com/question/31677552
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PLZ HELP ME WITH THIS
ASAP
BLANK 1 : right, down, left , up
BLANK 2: up, right , left , down
BLANK 3: 2, 6, 9,-1
BLANK 4: -1, -8, 2, -5
Thx
13. Explain how the line of best fit would change if one of the data points were moved up or down. Clearly mention how the x-value (time) of the point would influence this.
Over 6 days, jim jogged 6.5 miles, 5miles, 3miles, 2miles,3.5 miles,and 4 miles.what is the mean distante that jim jogged
Answer:
C edg 2020
Step-by-step explanation:
Which statements are true about the number of employees?
plz help will mark BRAINLIEST algebra 2