The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
Answers
Answer:
[tex]\frac{4\sqrt{3} }3}[/tex]
Step-by-step explanation:
Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is [tex]\frac{4}{\sqrt{3}}[/tex]. However, it is also asking us to simplify this, so we multiply the top and bottom by [tex]\sqrt{3}[/tex] and get [tex]\frac{4}{\sqrt{3} } = \frac{4\sqrt{3} }{3}[/tex]
Related Questions
A student has a savings account with $475 in it.
She deposits $125 of her paycheck into the account
every week. Her goal is to save $7,000 for college.
How long will it be before she has $1350?
Answers
Answer: 7 weeks
Step-by-step explanation:
Let x represent number of weeks
Let y represent the total amount
Amount = Paycheck deposited * number of weeks + Initial amount
y = 125x + 475
Number of weeks until she has $1350
1350 = 125x + 475
125x+475-475=1350-475
125x=875
x=7
Therefore, the student will have $1350 in her bank account after 7 weeks
I Hope This Helps
How much larger is 8 x 10^8 compared to 2 x 10^5?
О 4 times larger
O 40 times larger
O 400 times larger
O 4,000 times larger
Answers
8x10^8 = 800000000
2x10^5= 200000
so it’s 4,000 times larger
What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?
Answers
The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.
To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:
The two angles must be equal (∠ABC = ∠MNO).The radius of the two triangles must be equal.The radius from center N must be equal to radius BA and BC.The radius of angle MNO is NO and it must equal BA and BCThus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.
Learn more about construction of congruent angles here: https://brainly.com/question/20097419
A=1/2h(b1+b2) is the formula for the area of a trapezoid. Rewrite the formula for h, and then find the height of the trapezoid that has an area of 78 square inches and base lengths of 5 inches and 8 inches.
Answers
Answer:
Let's neaten up that equation a bit:
trapezoid area = height * (sum of the bases) / 2
height = 2 * area / (short base + long base)
height = 2 * 78 / (5 + 8)
height = 156 / 13
height = 12 inches
Source: https://www.1728.org/quadtrap.htm
Step-by-step explanation:
The formula for the height is h = (b1+b2)/2A and the height of the trapezoid is 12 inches
What is area of a trapezoid?A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.
The area of a trapezoid is expressed as;
A = 1/2( a +b) h
where a and b are the parallel sides and h is the height.
Making h the subject
(a+b)h = 2A
h = 2A/( a+b)
h = 2A( b1 + b2)
A = 78 in²
a = 5 in
b = 8 in
h = 2 × 78/( 8+5)
h = 156/13
h = 12 in
learn more about area of trapezoid from
https://brainly.com/question/1410008
#SPJ3
-3, 9, -27, 81 find the next term
Answers
Answer: The next term is -243.
Answer:
-243
Step-by-step explanation:
The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.
Help pelsss thank you math sucks
Answers
Answer:
103
Step-by-step explanation:
180-77=103
equations 50 - 3x = 110
Answers
Answer:
x = -20
Step-by-step explanation:
50 - 3x = 110
=> -3x = 110 - 50
=> -3x = 60
=> x = -20
Hoped this helped.
Step-by-step explanation:
50 - 3x = 110
3x = 110 - 50
3x = -60
x = -20
9 + 6 + 5+ 15
Is that
Answers
15+5=20
20+15=35
35 is the answer.
(64/8/ 4 + 7 – 2) • 5 =
Answers
Answer:
35
Step-by-step explanation:
Let me know if I got it right
PLS ANSWER 30 POINTSSS
Answers
Answer:
letter B po
Step-by-step explanation:
basta letter B may ganyan din kame eh
−4x−2 + 3y0 if x = 2 and y = 5
Answers
Hey there!
-4x^-2 + 3y^0
= -4(2)^-2 + 3(5)^0
= -4(1/4) + 3(5)^0
= -1 + 3(5^0)
= -1 + 3(1)
= -1 + 3
= 2
Therefore, the answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−15x+3≤7
−20, −10, 0, 10, and 20 only
0, 10, and 20 only
−30, −20, and −10 only
−30 and −20 only
Answers
Answer:
0, 10, and 20 only
Step-by-step explanation:
−15x + 3 ≤ 7
−15x + 3 - 3 ≤ 7 - 3
−15x ≤ 4
−15x / -15 ≥ 4 /- 15 multiplying by a negative number reverses the sign.
x ≥ -4 / 15
probably quicker to just plug the numbers in. Any negative input will immediately create a false statement.
If an eight-pound bag of rice cost $9.60, what is the cost of 1 pound of rice?
Answers
Answer:
$1.20 for one pound of rice
Step-by-step explanation:
$9.60 ÷ 8 = $1.20
I hope this helps!
Graph the function g(x) = 2x2 + 8x - 1
Answers
Answer:
(-2,-9)
(0,-1)
Step-by-step explanation:
I solved in desmos.
Find the unit price for a 9 oz bottle of ketchup for 88cents. round answers to the nearest tenth of a cent. ________ cents per ounce
Answers
Answer:
0.1 cents per ounce
Step-by-step explanation:
You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.
[tex]\frac{88 cents}{9oz}=0.1 cents per ounce[/tex]
Can someone help me please
Answers
Pls mark brainleist i really need it
When a retired police officer passes away, he leaves $325,000 to be divided among his five children and three grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get?
Answers
50.000
PLEASE HELP MEEE!!!!
5. Jared visited his family doctor after suffering for days with a rash that appeared on his ankles and calves as soon as he arrived home from camp. Jared's doctor asked him several questions about his activities during the past week, including the places he'd been and the kind of clothing he wore. Then the doctor announced that Jared had a nasty case of polson Ivy.
What kind of reasoning did Jared's physician use to make a diagnosis? Explain how you you were able to tell what kind of reasoning was used.
Answers
Answer:
I would say Inductive reasoning.
Step-by-step explanation:
Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.
Hope this helps you out a bit.
Answer:
Deductive reasoning
Step-by-step explanation:
Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.
Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30°
, what is the measure of the third angle?
Enter the correct answer in the box.
Answers
30+30=60 180-60=120
So the answer is 120
HELP ASAP! QUICK ALGEBRA 20 POINTS!!!!!!! WILL AWARD BRAINLIEST
Answers
Answer:
On the first image: if 45 divides the number, it means you can rewrite it as 45 times something. Let's play with powers of 9 to see if you can make a 45 or rewrite it as a product of a power of 9 and a power of 5.
On the second and third images, it's just a matter of collecting common factors. I collected the minus sign so the parenthesis starts with a positive term, but it's a matter of personal preference.
Estimate 196.999 ÷ 1.582?
Answers
Answer:
124.5252844501
Step-by-step explanation:
to estimate we have 125
Given the equation y=|x| complete the table of values
Answers
Answer:
2,1,0,1,2
Step-by-step explanation:
Solve for the value of X
Answers
Check the picture below.
X=10
The diagonals of a rectangle are always
Answers
Answer:
The diagonals of a rectangle are always congruent
Answer:
Step-by-step explanation:
Diagonals of a rectangle are always congruent.
Math Practices and Problem Solving
13. Algebra In the first 3 months of the year,
an electronics store sold 1,446 cameras.
How many cameras did the store sell in March?
Write and solve an equation.
Answers
The store sold 482 cameras in the month of March.
An equation is an expression that shows the relationship between two or more variables and numbers.
Assuming that the same number of camera is sold each month. Let x represent the amount of camera sold in March.
Since the electronics store sold 1,446 cameras in the first 3 months, hence:
3x = 1446
x = 482 cameras
The store sold 482 cameras in the month of March.
Find out more on equation at: https://brainly.com/question/2972832
I need help finding the value of z!
Answers
Answer:
thus
Step-by-step explanation:
Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.
Solve for X : 3/8 = 27/x
Answers
Answer:
x = 72
Step-by-step explanation:
3/8=27/x
cross multiply
3*x=3x 27*8=216
divide
216/3=x
x=72
If the probability that a randomly chosen college student uses a ride sharing app is 0.27, then what is the probability that a randomly chosen college student does not use a ride sharing app?
Give your answer as a decimal.
Answers
Answer:
0.73
Took the quiz
The probability that a randomly chosen college student does not use a ride sharing app is 0.73.
What is the probability?Probability is a stastistical measure that is used to determine who likely it is that event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a randomly chosen college student does not use a ride sharing app = 1 - 0.27 = 0.73
To learn more about probability, please check: https://brainly.com/question/13234031
A fair coin is tossed (heads or tails) 9 times. What is the probability that the coin will land “heads” exactly 3 out of the 9 times?
Answers
Answer:
Step-by-step explanation:
The total number of tosses is 9
The number of successes is 3
P(heads 3 times ) = 3/9
P(heads 3 times) = 1/3
If a number has 8 as a factor, then both 2 and 4 are factors
