Answer:
[tex]4\frac{1}{2}[/tex]
Step-by-step explanation:
This question is basically saying: what is half of 7, or what is 7 divided by 2?
Based on this, it can be written both of the ways as:
»» [tex]\frac{1}{2}[/tex] of 7 OR 7 ÷ 2
So, just solve using either one and you’ll get 4.5 or [tex]4\frac{1}{2}[/tex]. But since the question wants the answer to be a mixed number, then choose [tex]4\frac{1}{2}[/tex].
Hope this helps! :)
On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4). Triangle S T U has points (2, negative 4), (negative 1, negative 2), (negative 1, negative 4). Complete the statements to verify that the triangles are similar. StartFraction Q R Over T U EndFraction = StartFraction P R Over S U EndFraction = StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = Therefore, △PQR ~ △STU by the theorem.
Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.
The distance between two points on the coordinate plane is given as:
[tex]Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6[/tex]
In triangle STU:
[tex]|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2[/tex]
|QR| / |TU| = 4/2 = 2
|PR| / |SU| = 6/3 = 2
|PQ| / |ST| = 2√13 / √13 = 2
Hence:
|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|
Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.
Similar triangles may or may not be congruent
Triangles PQR and STU are similar by SSS theorem.
The vertices of triangle PQR are given as:
[tex]P= (4, 4)[/tex]
[tex]Q= (-2, 0)[/tex]
[tex]R = (-2, 4)[/tex]
The vertices of triangle STU are given as:
[tex]S = (2, -4)[/tex]
[tex]T = (-1, -2)[/tex]
[tex]U =(-1, -4)[/tex]
Start by calculating the side lengths of the two triangles, using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
For triangle PQR, we have:
[tex]PQ = \sqrt{(4 --2)^2 + (4 -0)^2} = \sqrt{52}[/tex]
[tex]PR = \sqrt{(4 --2)^2 + (4 -4)^2} = 6[/tex]
[tex]QR = \sqrt{(-2 --2)^2 + (0 -4)^2} = 4[/tex]
For triangle STU, we have:
[tex]ST= \sqrt{(2 --1)^2 + (-4 --2)^2} = \sqrt{13}[/tex]
[tex]SU= \sqrt{(2 --1)^2 + (-4 --4)^2} = 3[/tex]
[tex]TU= \sqrt{(-1 --1)^2 + (-2 --4)^2} = 2[/tex]
Check if the side lengths of both triangles are similar, by dividing corresponding sides
[tex]k = \frac{PQ}{ST} = \frac{\sqrt{52}}{\sqrt{13}} = 2[/tex]
[tex]k = \frac{PR}{SU} = \frac{6}{3} = 2[/tex]
[tex]k = \frac{QR}{TU} = \frac{4}{2} = 2[/tex]
Because the scale factors of the side lengths are the same, then both triangles are similar by SSS theorem.
Read more about similar triangles at:
https://brainly.com/question/8691470
Help..................
Answer:
The answer is A
Step-by-step explanation:
There are opposite angles
can someone help me.
Answer:
D
Step-by-step explanation:
algbra two, i need help asap please
Answer:
(a) The zeroes of f(x) are rational numbers
(b) The smallest integer value of a is 3
Step-by-step explanation:
In the quadratic function f(x) = ax² + bx + c, we can know the number and the types of its roots using the discriminant Δ, where Δ = b² - 4ac
If Δ > 0, then the zeroes are two different real numbersIf Δ = 0, then the zeroes are the same real numberIf Δ < 0, then the zeroes are imaginary numbersNote: In the first case if Δ is a perfect square number then the zeroes are rational, if not then the zeroes are irrational
(a)
∵ The equation function is f(x) = ax² + 11x + 12
∵ a = 2
∴ a = 2, b = 11 and c = 12
→ Substitute them in the rule of Δ
∵ Δ = (11)² - 4(2)(12) = 121 - 96
∴ Δ = 25
∵ Δ > 0
∴ f(x) has two different real zeroes
∵ 25 is a perfect square number
→ That means the zeroes of the function are rational numbers
∴ The zeroes of f(x) are rational numbers
(b)
∵ f(x) ha imaginary zeroes
→ By using the third rule above
∴ Δ < 0
∵ a = a, b = 11 and c = 12
→ Substitute them in the rule of Δ
∴ (11)² - 4(a)(12) < 0
∴ 121 - 48a < 0
→ Add 48a to both sides
∵ 121 - 48a + 48a < 0 + 48a
∴ 121 < 48a
→ Divide both sides by 48
∴ 2.52083 < a
∴ a > 2.52083
∵ The smallest integer greater than 2.52083 is 3
∴ The smallest integer value of a is 3
Mrs. Garcia's math test is worth 50 points. If you answer all the questions and the extra credit correctly, you can score 55 points. How do you represent this situation as a fraction, a decimal, and a percent?
Answer:
Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.
A parachutist's elevation changes by - 90 ft in 10 seconds. What is the change in the parachutist's elevation each second?
Answer:
-9 feet per second
Step-by-step explanation:
Please can anyone help me?
Answer:
2 is the correct answer
A student uses 1/2 quart of paint in 3/4 hour. What is her usage rate in quarts per hour?
ASWER CHOICES
38 quart per hour
23 quart per hour
34 quart per hour
32 quarts per hour
Answer:
1 1/2 quarts per hour
Step-by-step explanation:
To do this you would divide 3/4 by 1/2 to do divide you flip 1/2 to 2/1 then multiply.
3/4*2/1=6/4 which is also equal to 1.5 quarts of paint per hour.
CAN ANYONE HELP ME THAT IS GOOD IN MATH
(a+2b)² ?????????????????????
Answer:
a² + 4ab + 4b²
Step-by-step explanation:
Given
(a + 2b)²
= (a + 2b)(a + 2b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis
= a² + 2ab + 2ab + 4b² ← collect like terms
= a² + 4ab + 4b²
3/5(x+2)=x- 4 answer
Answer:
X=13
Step-by-step explanation:
A housewife deposited Rs 10,000 on saving account at 5% p.a. interest compounded
yearly and another sum on fixed deposit account at 8% p.a. interest compounded
half yearly. After one year the interest on fixed deposit account
was Rs 152.80 more
than the interest on the saving account, find the total amount of money in her two
accounts at the end of the year.
Answer:
Rs. 3923.08
Step-by-step explanation:
First principal invested = Rs. 10000
Interest rate = 5%
The interest is compounded yearly.
Time = 1 year
1 year compound interest is equal to simple interest.
Formula for simple interest:
[tex]SI = \dfrac{PRT}{100}[/tex]
Interest on first sum = [tex]\frac{10000\times 5\times 1}{100} = Rs\ 500[/tex]
Another sum is on fixed deposit 8% compounded half yearly.
Let the sum = Rs [tex]x[/tex]
Formula for compound interest is given as:
[tex]CI = P(1+\frac{R}{100})^T - P[/tex]
It is compounded half - yearly, therefore T = 2
[tex]CI = x (1+\frac{8}{100})^2 - x\\\Rightarrow CI = x(1.08)^2-x = 0.1664x[/tex]
As per question statement:
[tex]0.1664x - 500 = 152.80\\\Rightarrow x = \dfrac{652.80}{0.1664} = Rs\ 3823.08[/tex]
Today, Bill is driving to Baltimore, MD. He has 18 gallons of gas in his tank. His tank uses 2 gallons of gas every hour he drives. How many hours can Bill drive with a 18 gallons of gas in his tank?
Answer:
9
Step-by-step explanation:
18/2=9
So tell me yáll real name
mines is Shakira
Answer:
My name is Melanie
Step-by-step explanation:
Answer:
Mine is Aday but pretty much everybody calls me Aya
Step-by-step explanation:
Help me solve this problem please
Answer:
The second one .......
Here it is, please help me!!!!
Answer:
463mi
Step-by-step explanation:
Pleaseeee helppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
A box of granola weighs 24 ounces and a box of bran flacks weighs 6/8 as much as the ronal A box of Corn Pops weighs 1 1/8 as much as the ronal what is the least number of ounces found in either box or ronal bran flakes or Corn Pops
Answer:
54 ounces
Step-by-step explanation:
A box of granola weighs 24 ounces and a box of bran flacks weighs 6/8 as much as the ronal
The number of ounces of the bran flakes = 6/8 of the box of the granola
= 6/8 × 24 ounces
= 18 ounces
A box of Corn Pops weighs 1 1/8 as much as the granola
Hence, the number of ounces of the box of corn pops =
1 1/8 of the granola box
= 9/8 × 24 ounces
= 27 ounces
The least number of ounces found in either box or ronal bran flakes or Corn Pops is calculated as:
We solve using LCM Method
Multiples of 18:
18, 36, 54, 72, 90
Multiples of 27:
27, 54, 81, 108
Therefore,
LCM(18, 27) = 54
The least number of ounces found in either box or ronal bran flakes or Corn Pops is 54 ounces
what is the answer of
6 2/5 - 1 4/5 =
Lola's hockey team lost 15% of
their games this season. If they
lost 3 games, how many games
did they play in total?
(show your work)
Answer:
[tex]20[/tex]
Step-by-step explanation:
Let [tex]x[/tex] = games played in total
From the fact that [tex]15\%[/tex] of the games the team played is equivalent to [tex]3[/tex] games, we can write:
[tex]15\%x = 3[/tex]
[tex]x=3\div 15\%[/tex]
[tex]=20[/tex]
∴ Lola's hockey team played a total of 20 games.
Hope this helps :)
Please help here’s 20 points
12
13
15
D
The length of side CD =
The length of side BC =
The length of side BD =
Let me ask this question again
Answer:
A
Step-by-step explanation:
Substitution with X= 9 and you receive that only 9 works in both equation
15 POINTS EACH WILL GIVE THANKS IF ITS CORRECT
PLEASE ANSWER FAST SINCE THIS WAS DUE LAST FRIDAY!
Select all of the following that are quadratic equations.
1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7
Step-by-step explanation:
The following are quadratic equations:
x² + 3x - 5 = 0,
x² - x = 3x + 7,
7x² + 14x = 0.
A right rectangular prism has a length of 3 1/3 a width of 2 1/2 and a height of 4 1/3 yards. What is the total volume
Answer:
The answer is 30 V=whl=3·2·5=30
Step-by-step explanation:
The area of a metal frame being built by a construction company can be represented by the function A(w)=4w2+34w , where represents the width in meters of the frame. What is the area of the frame in square meters when the width equals 1 meter?
Answer:
38 square meters
Step-by-step explanation:
Given:
A(w)=4w²+34w
The function represent the area of a metal frame being built by a construction company
What is the area of the frame in square meters when the width equals 1 meter?
Find A(w) when w = 1 meter
A(w)=4w²+34w
A(1) = 4(1)² + 34(1)
= 4 + 34
= 38 square meters
A(1) = 38 square meters
help plz, I don't know how to find the answer
9514 1404 393
Answer:
25
Step-by-step explanation:
As always, you identify the possible relationships between the given values. Make use of those to find the unknown. Then use that value as required to answer the question(s) posed.
The triangle is isosceles, so AB = AC.
AB = AC
4x +1 = 2x +23
2x = 22 . . . . . . . . . subtract (2x+1)
x = 11
With this value of x, we can find BC.
BC = 3x -8
BC = 3×11 -8
BC = 25 . . . . units
Write the coordinates of point l' after the following translation:
4) translation: 4 units right and 2 units down
+y
1
H
X
Answer:
can you state what point I is?
I need help for all three! Thank you!
Answer:
3a. 0.415
b. 18.75
Step-by-step explanation:
3a. 2.49/6
=0.415
b. 150/8
=18.75
Which of the following is NOT a part of a DNA molecule?
Question 3 options:
A.Nitrogen base
B.Phosphate group
C.5 Carbon sugar
D.Amino acid. Will give brainliest
Amino acids
Step-by-step explanation:
In a DNA molecule Your going to find what's called, Nucleotides, Nucleotides contain phosphate group, a sugar group, and a nitrogen base.