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
PLS HELPPPPPPP MEEEEE
Answers
Answer:
4.7 · 10^7
Step-by-step explanation:
student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos
Answers
Answer:
3/6 or 1/2
Step-by-step explanation:
the amount that chose pizza = 2/6
5/6 = the amount that chose pizza + the amount that chose tacos
5/6 = 2/6 + the amount that chose tacos
the amount that chose tacos = 5/6 - 2/6
the amount that chose tacos = (5-2)/6
the amount that chose tacos=3/6=1/2
Answer:
3/6
Step-by-step explanation:
A rectangle has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?
Answers
Answer:
54 cm²
Step-by-step explanation:
To find the area, use the formula, A = lw
Plug in the length and width, and solve:
A = lw
A = 9(6)
A = 54
So, the area of the rectangle is 54 cm²
Answer:
[tex] \bf \huge 54 \: cm \: {}^{2} [/tex]
Step-by-step explanation:
correct Question :A rectangle has a side length and wide of 9 centimeters and 6 centimeters. What is the area of the rectangle Given that :A rectangle has a side length and wide of 9 centimeters and 6 centimeters. to find :area of rectangle. formulas used :A = l × wwhere,
A = area of rectangle l = lenth of rectangle W = wide of rectangle explanation :⟼ l = 9 cm
⟼ W = 6 cm
⟼ Area = l × b
⟼ Area = 9 × 6 cm
⟼ Area = 54 cm².
∴ the area of rectangle is 54 cm².
A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 15 greeting cards indicates an average value of $3.00 and a s of $0.40. The critical value for a 99% confidence interval is
Answers
Answer:
The critical value for a 99% confidence interval is T = 2.9768
Step-by-step explanation:
We have the standard deviation of the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
Critical value
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768
The critical value for a 99% confidence interval is T = 2.9768
Pls help!
Which figure is a prism?
Answers
Answer:
the first red one, it's a triangular prism
Step-by-step explanation:
the second one is a triangular pyramid
the rest (third and fourth one) are square pyramids
Answer:
Its the first one
Step-by-step explanation:
Because a prism is a three-dimensional shape with identical ends, called bases, and flat sides called faces. These identical slices of a prism are called cross sections.
mark brainliest please.
Solve 2(1/8)^1-2x = 16^x+6
Answers
Answer:
You cannot solve this, but you can try to simplify it: 16^x = −2x + −23/4
Andrew wrote the number 186,425 on the board. In which number is the value of the digit 4
exactly 100 times the value of the digit in the number Andrew wrote?
A 681,452
B 462,017
C 246,412
D 124,655
Answers
Answer:
C
Step-by-step explanation:
The four is in the hundreds so times one hundred it'd be in the 10,000 so it is C.
SOMEONE PLSS HELP ME, THIS IS DUE TODAY (I WILL GIVE BRAINLIEST)
A) less than -5
B) less than or equal to -5
C) greater than -5
D) greater than or equal to -5
Answers
Answer:
A
Step-by-step explanation:
Answer:
A) less than -5
Step-by-step explanation:
If it is lesser than -5, that means the line will be going to the left. This also means that the circle will be an open circle, not shaded.
Find the length of the third side. If necessary, round to the nearest tenth.
12
5
Answers
9514 1404 393
Answer:
13
Step-by-step explanation:
The hypotenuse can be found using the Pythagorean theorem. If we call that side 'c', then the theorem tells us ...
c² = 5² + 12²
c² = 25 +144 = 169
c = √169 = 13
The length of the third side is 13 units.
_____
Additional comment
The numbers (5, 12, 13) are what is called a "Pythagorean triple." That is, they are integers that can be used to form a right triangle. Others often seen in algebra problems are the (3, 4, 5), (7, 24, 25), and (8, 15, 17) triples. It can be worth your trouble to remember these. Then when you see side lengths of 5 and 12, you don't need to do any math to know the third side is 13.
please help me on this its reading
Answers
The answer is C to be informed about a new topic.
Answer:
C.
Step-by-step explanation:
C. be informed about a new topic
F(x)=0.5^x what is the domain and range
Answers
Answer:
XER (X are all real numbers)
Step-by-step explanation:
as;dbdjkdbusaj hfsvd
5th grade math. correct answer will be marked brainliest
Answers
Answer:
Zack has 8 stamps with pictures of animals
Step-by-step explanation:
Number of Stamps that Zack has = 10
Number of Zack's Stamps that have the pictures of animals = ⅘ of 10
= ⅘ × 10
= 40/5
= 8
Zack has 8 stamps with pictures of animals
PLS HELP!
2x + 4 > 8
Answers
2x 4 =- 8
2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
Which expression is equivalent to 14y−12?
14(y−2)
−14(y−12)
14(y−12)
−14(y−2)
Answers
Answer:
The answer is 1/4 (y-2)
Step-by-step explanation:
I got the answer correct on my test!
how do you tell someone you like them if you get nervous around them?
57+ points if you answer the question
Answers
Answer:
Just be yourself.
Step-by-step explanation:
You might get different answers, but this one is something you should definitely do!
Hope this helped...have a great day <3
Answer:
I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.
Step-by-step explanation:
being yourself is probably why he will like you back.
-3/8*2/5 + 2/5 * 5/8
Answers
Answer:
.1
Step-by-step explanation:
Answer:
0.1
Step-by-step explanation
It’s real simple just answer it
Answers
Answer:
-6 and negative 1 with the bio
Step-by-step explanation:
Simplify 8-9+8÷4
Please help thank you
Answers
Answer:
1.
Step-by-step explanation:
The equation 8 - 9 + 8 / 4 is given.
When solving equations with multiple signs in them, we need to follow PEMDAS.
Which is an acronym for a series of equations you need to follow in order.
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction.
So look at the equation, 8 / 4 would be first since it is dividing.
8 / 4
2
8 - 9 + 2
Now when it comes down to the last two of PEMDAS (Addition and Subtraction), we can just solve left to right.
Therefore,
8 - 9
-1
-1 + 2
1
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
Is it multiple choice? If it is then it’s B and D
Step-by-step explanation:
PLEASE JUST HELP!!!!!! Anyone!!!!
Answers
Answer:
the answer is 8 because 8 is 20% of 40
Some help if you can i just need it
Answers
In ΔVWX, x = 78 cm, w = 35 cm and ∠W=48°. Find all possible values of ∠X, to the nearest degree.
Answers
Answer:
no possible answers
Step-by-step explanation:
V
W
X
w = 35
x = 78
48°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin X}{78}=\frac{\sin 48}{35}
78
sinX
=
35
sin48
Plug in values.
\sin X=\frac{78\sin 48}{35}\approx 1.6561513
sinX=
35
78sin48
≈1.6561513
Evaluate.
X=\sin^{-1}(1.6561513)= \text{ERROR}
X=sin
−1
(1.6561513)=ERROR
Sine cannot be greater than 1.
\text{No Possible Triangles}
No Possible Triangles
\{\}
{}
Answer:
no Possible Triangles
Step-by-step explanation:
Which is more 4 inches or 1 foot
Answers
Answer: 1 foot
Step-by-step explanation:
because 1 foot is equivalent to 12 inches
Solve the formula S=43.14r^2 for r.
Answers
Explanation:
What is the mean absolute deviation of the data set?
{12, 17, 12, 8,6)
Answers
Answer:The mean absolute deviation of the set of data is
2.24
.
Step-by-step explanation:
Your answer should have the same number of significant figures as the starting measurement. 0.0510 cm = mm
Answers
Answer: 0.0510 cm = 0.510 mm
Step-by-step explanation: zeros in the end of decimal number are significant.
Also 0.0510 cm has three significant numbers
5. During the day a person consumes 360 calories from fruit. How many calories does this person consume in their daily diet? *
PLEASE HELP
A. 1,600
B. 2,300
C. 2,400
D. 2,600
Answers
Answer:
I believe that it is C.
Step-by-step explanation:
360x0.15 = 24, 15% is from the given chart...
I am not 100% sure, but I do think that this is right.
The solution is : The weight of an individual who consumes 1,370 calories per day is 137 pound.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given:
1,050 calories should be consumed daily for a 105-pound person.
Now, to get the weight of an individual who consumes 1,370 calories per day.
If 1,050 calories should be consumed per day for = 105-pound person.
So, 1 calorie should be consumed per day for =105/1050
=1/10
Then, 1,370 calories consumed per day for weight of =1370/10
= 137 pounds
Therefore, the weight of an individual who consumes 1,370 calories per day is 137 pound.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
complete question:
The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,050 calories should be consumed daily for a 105-pound person, what is the weight of an individual who consumes 1,370 calories per day?
Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
CLEAR CHECK
Because Garrick's plant is... than Zan's plant, each millimeter of error results in a ....percent error.
Garrick's measurement was ... millimeters off and Zan's was... millimeters off, so Garrick's measurement was ... % off and Zan's was
Answers
Garrick's measurement was 2 mm off. (10 - 8 = 2)
Zan's measurement was 12 mm off. (100 - 88 = 12)
Garrick's percent error was 20% (2 / 10 x 100)
Zan's percent error was 12% (12 / 100 x 100)
Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't
Answers
9514 1404 393
Answer:
12e -6f -8
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses.
= (6e)(2) +(-3f)(2) +(-4)(2)
= 12e -6f -8
