What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to help find the height. ( Show your work). Will Only Mark Brainliest if answered correctly and No resharing another students answer from brainly or any other websites or you'll be reported.
Answers
Answer:
Area = 21.7 cm² (nearest tenth)
Step-by-step explanation:
A 30-60-90 triangle is a special right triangle. The measures of its sides have a special relationship in that they are in proportion:
shortest leg : longest leg : hypotenuse = 1 : √3 : 2
The side opposite 30° is the shortest legThe side opposite 60° is the longest leg and is √3 times the length of the shorter leg. The side opposite 90° is the hypotenuse and is twice the length of the shorter leg.So we can also write the ratio as [tex]x : x\sqrt{3} : 2x[/tex] where [tex]x[/tex] is the shortest side.
From inspection of the diagram, the shortest side is 5 cm
⇒ BC (height) = 5 × √3 = 5√3 cm
Now we have the height, we can calculate the area.
Area of a triangle = 1/2 x base x height
= 1/2 x 5 x 5√3
= 21.7 cm² (nearest tenth)
Related Questions
what polynomial must be added to 3xsquared + 4x+7 to obtain a sum of zero
Answers
The polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 is; -3x² -4x +7.
Let the polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 be represented by P.
In essence;
P + 3x² +4x + 7 = 0.By subtracting 3x² +4x + 7 from both sides of the equation to obtain the value of P; we have;
P = 0 -3x² -4x +7.Ultimately, P = -3x² -4x +7.
Read more on polynomials;
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please help me with this
Answers
Answer:
[tex]2\frac{1}{8}[/tex]
Step-by-step explanation:
On the 3 days that the the worker served less than a cup of food, he served 7/8 of a cup, and 5/8 of a cup twice. Now we add these.
[tex]\frac{7}{8} +\frac{5}{8}+ \frac{5}{8} =\frac{17}{8}\\ \\\\\frac{17}{8} = 2\frac{1}{8}[/tex]
have a good day and keep the negative energy out you life
Answers
Step-by-step explanation:
motivation of the Day
wish you the same
1. There were 4,504,227 people who came to see soccer matches last year. What digit is in the millions place?
2. If Gary's ruler is 12 inches, and Perl’s ruler is 36 inches, what is the length difference between the two rulers? Which number operation will be used to
Answers
1. A million has 7 digits. The number shown has 7 digits so the first number is in the millions place. Answer: 4
2. use subtraction
36-12 = 24
Help help help help math math
Answers
Answer: y = -1
Step-by-step explanation:
Any vertical line's equation is 'y ='
You would get -1 by looking at the line's position on the y-axis
Hope that helps!
Complete the probability model. Don’t forget to write each answer as a percentage.
Answers
Answer:
The answer is the first one
Step-by-step explanation:
The first one is correct because the probaility of you getting some biyatches is zero.
Help help math math math
Answers
Answer:
Non-Linear Function
Step-by-step explanation:
The answer is Non-Linear. Hope this helps :)
A garden table and a bench cost $984 combined. The garden table costs $84 more than the bench. What is the cost of the bench?
Answers
Answer:
$450
Step-by-step explanation:
a garden table costs $84 more than the bench,
therfore, $900-84 = $900
$900/2 = cost of bench
$450 = cost of bench
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Pls help I will give brainliest
Answers
A.) 3^2+4^2=5^2
9+16=25
This is correct
B.) 2.5^2+5.6^2=37.61
6.4^2 = 40.96
This is not correct
C.) 9.6^2+12.8^2=256
16^2 = 256
This is correct
What are the greatest common factors of 21 and 32?
Answers
Answer:
1
Step-by-step explanation:
The biggest common factor number is the GCF number. So the greatest common factor 21 and 32 is 1. Also check out the Least Common Multiple of 21 and 32
The greatest common factor of 21 and 32 is 1.
What is Greatest Common Factor?Greatest common factor or GCF of two numbers is defined as the one common factor of the two given numbers which is the greatest of all the common factors.
GCF is also usually known as Highest Common Factor (HCF).
We have to find the greatest common factors of 21 and 32.
One of the method to find GCF is by prime factorization.
First prime factorize the two numbers. The product of the commonly shared prime factors will be the GCF.
If they don't share any common prime factors, then the GCF will be 1.
21 = 3 × 7
32 = 2 × 2 × 2 × 2 × 2
There are no common prime factors, GCF will be 1.
Hence, the greatest common factor of 21 and 32 is 1 since there are no common prime factors.
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Real world inequalities:
You must be 4 feet or taller to ride the roller coaster
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The required inequality that represent the given scenario is :
[tex]\qquad \tt \dashrightarrow \:x \geqslant 4[/tex]
where, x is height in feet.
Let's interpret the information given:
4 feet or taller ⇒ the person can be 4 feet or above 4 feetLet's set 'x' as the hypothetical height of a person
Therefore the inequality should be x ≥ 4
⇒ we put x as greater than 4 since the person must be taller than 4
feet to ride the roller coaster
⇒ we also put the '_' under the inequality to signify that the person
can equal 4 feet in height and still be eligible to ride the roller
coaster
Hope that helps!
Given a trapezoid with a height of 4.3m and bases of 9.2 m and 3.2m, what is the area of the trapezoid? Do not include units in your answer.
Answers
For a height of 4.3m and bases of 9.2 m and 3.2m, the area of the trapezoid is mathematically given as
A=26.7
What is the area of the trapezoid?Generally, the equation for the trapezoid is mathematically given as
A=0.5*(a+b)*h
Therefore
A=0.5*(3.2+9.2)*4.3
A=26.7
In conclusion,area of the trapezoid
A=26.7
Read more about Arithmetic
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3,6,4,10, x; the mean is 6
Answers
Answer:
x=7
Step-by-step explanation:
You can find the complete solution in the given attachment
I hope it helped you
Lucas bought a package of baseball cards for $0.70. His friend bought 3 times as many packages. How much did his friend spend?
$2.10
$2.50
$2.80
$3.10
Answers
Answer: $2.10
Step-by-step explanation:
if two angles at the base of an isosceles triangle are 50, the other angle is _____because_____________________________________________.
please helpp
Answers
Explanation: So if the 2 base angles have a sum of 50 then the third angle is 180-50=130
Identify the like terms: 5x, 6, 8yz, -2w
Answers
Hey there!
IDENTIFYING the LIKE TERMS OF….
5x, 6, 8yz, & -2w
Unfortunately, you don’t have any like terms because NONE of the terms don’t have anything alike with them.
Here’s examples of like terms (we will use the values you have listed above)
• 5x & -4w would give you 1x or simply x
• 6 - 2 would give you 4
• 8yz - 4yz would give you 4yz
• -2w - 1w would give you -3w
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Can someone please help me with this? I'm not sure how to do it.
Answers
The number horizontally, on the bottom of the grid are the x values. The numbers vertically, going up are the y-values.
So,
O has coordinates x = 1 and y= 1 so it will be (1,1)
E has coordinates x=1 and y = 11 so it will be (1,11)
T has coordinates x=2 and y = 5 so it will be (2,5)
So on…
Sammy counts the number of people in one section of the school auditorium. He counts 18 girls, 24 boys, and 8 adults. There are 650 people in the auditorium. What is the probability that one person selected at random is an adult?
Answers
What factors can increase your chances of heart disease?
A. Having low blood sugar levels
B. Having low blood pressure
C. None apply
D. Taking illegal drugs
Answers
Answer:
Having low blood pressure.
Step-by-step explanation:
Blood pressure is based on the heart, and I learned this in health class
Hope this Helps
U10 (e) Solve the equation 2x4 + 5x3 – 5x – 2 = 0
Answers
Answer:
x₁=1; x₂=-1; x₃=-0.5; x₄=-2.
Step-by-step explanation:
[tex]2x^4+5x^3-5x-2=0; \ < = > \ 2(x^4-1)+5x(x^2-1)=0; \ < = > \ 2(x^2+1)(x^2-1)+5x(x^2-1)=0; \ < = >[/tex]
[tex](x^2-1)(2x^2+2+5x)=0; \ < = > \ (x^2-1)(2x^2+5x+2)=0; \ = >[/tex]
[tex]= > \ \left[\begin{array}{ccc}x=1\\x=-1\\x=-\frac{1}{2} \\x=-2\end{array}[/tex]
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 15 m/s. The ball's height h (in meters) after t seconds is given by the following.
Answers
7
meters, we substitute
7
for
h
and solve for
t
.
=7+2−25t5t2
In order to solve for
t
, we first rewrite the equation in the form
=+at2+btc0
.
=+−5t225t50
Next, we use the quadratic formula to solve for
t
.
=t−b±−b24ac2a
Our equation has
=a5
,
=b−25
, and
=c5
.
Another way
We use these values in the formula.
t
=−−25±−−252·4·55·25
=25±52510
We get that
t
can be either of two values to solve the equation.
=t=−25525100.2087…
or
=t=+25525104.7912…
Rounding these values to the nearest hundredth, we get
=t0.21
or
=t4.79
.
So, the ball's height is
7
meters at approximately
0.21
seconds (on its way up) or
4.79
seconds (on its way down).
what is the product of 653 and 87
Answers
Answer:
56811
Step-by-step explanation:
This is the answer as when you do the math it checks out
Translate the following:
"five less than the quantity of a number plus one”
A: x-5+1
B: 5-x+1
C: (x+1)-5
D: 5-(x+1)
Answers
Answer:
Option A, x - 5 + 1
Step-by-step explanation:
Step 1: Convert sentence into an expression
Five less than the quantity of a number plus one
(quantity..x - 5) + 1
x - 5 + 1
Answer: Option A, x - 5 + 1
Help help help help help
Answers
Answer:
[tex]\sf 5x+6y=12[/tex]
Step-by-step explanation:
[tex]\sf y=-\dfrac{5x}{6}+2[/tex]
Multiply both sides by 6:
[tex]\implies \sf 6 \cdot y=6(-\dfrac{5x}{6}+2)[/tex]
Expand:
[tex]\implies \sf 6y=-5x+12[/tex]
Add 5x to both sides:
[tex]\implies \sf 5x+6y=-5x+12+5x[/tex]
[tex]\implies \sf 5x+6y=12[/tex]
a prism is completely filled with 96 cubes that have edge lengths of 1/2 cm.
what is the volume of the prism?
Enter your answer in the box.
Answers
Answer:
12 cm^3
Step-by-step explanation:
Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3Volume of prism is 1/8 * 96 = 12 cm^3
a ratio is a comparison of two number in the dame unit.A ratio can be expressed
A. As a fraction
B. Using words
C. With a colon
D. All of the above
Answers
Answer:
D
Step-by-step explanation:
I have learned this in the past and did some research
Which number best represents thirty-one feet below sea level?
A. 31
B. +31
C. −31
D. 31−
Answers
Answer:
c
Step-by-step explanation:
Write twenty eight million, seven hundred and five thousand, one hundred and eighty five as a number
Answers
Hope this will help
An astronaut drops a hammer on the Moon as part of an experiment. Before the drop, he raises the hammer by a height of 1 m, which increases its gravitational potential energy by 1.2 J. The mass of the hammer is 0.75 kg. Calculate the gravitational field strength on the Moon.
Answers
Answer:
1.6 N/kg
Step-by-step explanation:
The units of gravitational field strength are newtons per kilogram. The joule is a derived unit equivalent to a newton·meter.
Then the field strength is ...
newtons/kg = (1.2 N·m)/((1 m)(0.75 kg)) = 1.6 N/kg
Please help!!! I will give Brainliest!!!! :_D
Write an equation for each situation!
Answers
Alright, Nancy, let's do this.
If dimes are d, then quarters is d + 3.
10d + 25(d + 3) = 1090
I'm dealing with cents to get rid of the pesky decimal.
10d + 25d + 75 = 1090
35d = 1015
d = 29
Since quarters = d + 3, there are 32 quarters and 29 dimes.
Hope this helps!
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