please help i am stuck and trying not to fail lol. also if you can show work pls
Answers
Given:
The figure of rectangle.
To find:
a. The diagonal of the rectangle.
b. The area of the rectangle.
c. perimeter of the rectangle.
Solution:
(a)
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]
[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]
[tex]Hypotenuse=12\times 2[/tex]
[tex]Hypotenuse=24[/tex]
So, the diagonal of the of the rectangle is 24 units.
(b)
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan 30=\dfrac{12}{Base}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]
[tex]Base=12\sqrt{3}[/tex]
Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:
[tex]Area=length \times width[/tex]
[tex]Area=12 \times 12\sqrt{3}[/tex]
[tex]Area=144\sqrt{3}[/tex]
So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.
(c)
Perimeter of the rectangle is:
[tex]P=2(length+width)[/tex]
[tex]P=2(12+12\sqrt{3})[/tex]
[tex]P=24+24\sqrt{3}[/tex]
[tex]P\approx 65.57[/tex]
Therefore, the perimeter of the rectangle is about 65.57 units.
Related Questions
Sid has £5 to buy apples and bananas.
He uses his money like this:
He buys 18 apples.
Then he buys as many bananas as possible.
With his change, he buys more apples.
How many apples and bananas does he buy?
(Apples=6p Each)
(Bananas= 40p Each)
(pls add working out)
Answers
He can buy 9 bananas
Answer:
Apples: 23 , bananas = 9
Step-by-step explanation:
Apples = 18 x 6 = 108p = 1,08£
5-1,08 = 3,92£
£3,92 = 392p
Bananas = 392 : 40 = 9,8= 9
40x9 = 360p = 3,60£
change = 3,92 -3,60 = 32p
apples = 32 : 6 = 5,33 = 5
total apples = 23
. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answers
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
Answer:
1) congruent
2) corresponding angles
3) 3x+21 = 6x-60
4) x =9
Step-by-step explanation:
1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.
2) the file below
3) we know they are equal because the congruent correspoding angles.
4) 3x+21 = 6x-60
=> 21 = 9x-60
=> 81 = 9x
=> 9 = x
convert 6% to an equivalent decimal
Answers
Answer:
0.06
Step-by-step explanation:
What is the diameter of a circle with a circumference of 132 ft? Use 227 for π . Round your answer to the nearest whole number.
Answers
Answer:
The answer is 132 feet
Step-by-step explanation:
That's the diameter.
C = pi * d
C = 3.14 * 42
C = 131.88
Thar rounds to 132 feet.
HELP ME PLEASE TO THIS QUESTION
Answers
Answer:
510 miles, 204/3 = 68
68x7.5= 510
There u go :)
Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please!
Answers
The equation -10x + 34 is the simplification for the given expression.
Addition Sign RulesHere it is important to remember the rules for the addition of integers numbers:
+ + Add Final result (+)
- - Add Final result (-)
+ - Subtract Final result (the sign of the integer having a greater value )
- + Subtract Final result (the sign of the integer having a greater value )
Multiplication Sign RulesThe rules for multiplication of numbers are:
+ + or - -The result presents a positive sign (+) because the signs are same.
+ - or - +The result presents a negative sign (-) because the signs are different.
First, you should apply the distributive property and the multiplication sign rules.
(x-4)(x-7) + (3-x)(2+x)
x²-7x-4x+28+6+3x-2x-x²
After that, you should simplify the previous result from addition or subtraction sign rules.
x²-11x+34+x-x²
-10x + 34
Read more about the distributive property here:
https://brainly.com/question/2807928
Challenge #1 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue area GOAL: Create two groups of cards with the SAME SUM using as many cards as possible. Submit 8,7,6,3,2,1
Answers
Answer:
ok
Step-by-step explanation:
:)
Which of the following is a sequence?
A 3, 6, 9, 18, ...
B 3, 6, 12, 18, ..
C 0.3, 0.7, 1.3, 1.5, ...
D 0.3, 0.6, 1.2, 2.4,
Answers
Answer:
The answer of this question is D
Step-by-step explanation:
Time 2
Evaluate -2x^3-3x^2+4 for x=-2
Answers
Answer: 8
Step-by-step explanation:
1. Rewrite the equation:
-2x^3 - 3x^2 + 4 x = -2
2. Plug in the value of x, -2
-2(-2)^3 - 3(-2)^2 + 4
3. Use order of operations (PEMDAS):
-2(-8) - 3(4) + 4
= 16 - 12 + 4
= 8
BRAINLIEST FOR ALL 3 CORRECT ANSWERS, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
Answer:
1. quarter turn 2. B 3. (b,-a)
Step-by-step explanation:
finding missing angles in triangles worksheet answers house
Answers
Step-by-step explanation:
What exactly are you looking for?
A bag contains 7 blue, 4 yellow, and 9 purple marbles.
What is the probability of P(not blue) written as a fraction?
Answers
Answer:
13/20
Step-by-step explanation:
you count up all the marbles together, which is 20 and then count up all the other marbles besides blue, which would be 13 of the 20 marbles are not blue
Plss answer this will give brainliest 5 stars and a thx
IVE BEEN ASKING FOR 2 DAYS :( OVERDUE
Answers
Answer: -10
Step-by-step explanation:
A negative number divided by a positive number is always going to be negative
Answer:
-10
Step-by-step explanation:
Because a negative number divided by a positive number is a negative number.
What percentage of 400=104 pls help me
Answers
Answer:
26%
Step-by-step explanation:
To find the percentage of a number, I find it's often helpful to first write it as a fraction: [tex]\frac{104}{400}[/tex] .
Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]
.
Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:
[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]
As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.
sec (x) = -2.3. If x and y are complementary, what is csc (y)?
Answers
Answer:
eat my cog
Step-by-step
2. Find the GCF of: - 4x^2 and 28x^3
Answers
Answer: 4x^2
Step-by-step explanation: Multiply that by -1 to get -4x^2 and multiply by 7x to get 28x^3
REALLY NEED HELP WITH THIS!!!
Answers
Answer:
9
Step-by-step explanation:
Solve the equation
Area =1/2(heightxbase)
27=1/2(Xx6)
54=6x
9 =x
Solve for x. Assume that lines which appear tangent are tangent.
Answers
Presumably, x is standing in for the question mark.
The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.
So we have
angle DFE = 1/2 (arc CV + arc DE)
125° = 1/2 (x + 200°)
250° = x + 200°
x = 50°
The answer to the question
Answers
Answer:
I am pretty sure this is gonna be the 3rd anwser
Answer:
The answer is C aka 3(5)^6
Step-by-step explanation:
You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?
Answers
Answer:
I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance
Step-by-step explanation:
please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.
The function, f(x), is plotted below.
Evaluate the limits, if they exist. If not, write DNE.
Limit as x approaches negative 1 minusf(x) =
Limit as x approaches 3 plusf(x) =
Limit as x approaches 1 f(x) =
Answers
Answer:1 2 DNE
Step-by-step explanation:
Answer:
1
2
DNE
Step-by-step explanation:
A bacterium triples in size every 6 minutes. If you start with 3 bacterium
in a dish, which of the following calculates the total amount of bacteria
after t hours?
3^t+1
3(2)^10t
3•3^t/6
3(2)^10t+1
None of the above
Answers
9514 1404 393
Answer:
E none of the above
Step-by-step explanation:
"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...
n(t) = 3·3^(10t) . . . . . matches no offered answer choice
Which graph or table shows a proportional relationship? Select all that apply.
Answers
Answer:
The number of days and total miles run one.
Step-by-step explanation:
A proportional relationship is y/x being the same everytime. The first table doesnt fit with that. The second graph isnt a straight line. The third table isnt coreect either. Lastly the forth table workng.
Sorry if im incorrect
Factor the expression -8x 2+ 22x - 15
Answers
If anyone knows the answer, could you help LOL
What is the equation of the line that passes through the point (4, -7) and has a slope of -1/2 ?
Answers
Answer:
y = -1/2x - 5
Step-by-step explanation:
To solve this (and questions like it), use the formula for the equation of a line:
y=mx+c, where y and x are any given co-ordinates, m is the slope, and c is the y-intercept.
Since we know that the slope is -1/2, we can plug this into our equation to replace m:
y=mx+c
y=-1/2x+c
To find c, we plug in our co-ordinate (4,-7), so that c is the only unknown, and we can solve for it:
y=-1/2x+c
-7=-1/2(4)+c
-7=-2+c
c=-5
Now that we know c, we can finish off our equation:
y = -1/2x + c
y = -1/2x - 5
9 A right rectangular prism
What is the volume, in cubic meters, of the prism?
Answers
Answer:
D. 203
Step-by-step explanation:
volume= width X height X length
volume= 8 X 7 1/4 X 3 1/2
volume= 203
Help me please! Its really complicated
Answers
1. 4.5 cm
2. 25.13 inches
3. 78.54 cm
4. 13 cm. 6.5 +6.5
Radius is half the diameter
Step-by-step explanation:
1) Radius = Half of Diameter
[tex]r = \frac{1}{2} d \\ r = \frac{1}{2} \times 9 \\ = 4.5cm[/tex]
2) Given r = 4 in.
Circumference of Circle =
[tex]2\pi \: r \\ = 2\pi(4) \\ = 8\pi \: cm[/tex]
3) Given r = 5 in.
Area of Circle =
[tex]\pi {r}^{2} \\ = \pi {5}^{2} \\ = 25\pi {cm}^{2} [/tex]
4)Diameter = 2x Radius
[tex]d = 2r \\ = 2 \times 6.5 \\ = 13cm[/tex]
Note for questions 2 and 3 I will leave answers in terms of pi as the question did not specify to leave the answer as what. You can use your calculator to evaluate them if needed.
The average daily temperatures in degrees Fahrenheit for one week in July were 94, 92, 90, 95, 71, 89, and 92. Name any outliers in the data.
Answers
Answer:
Interquartile range: 5
Outlier: 71
Potential outlier: none
Step-by-step explanation: