Answer:
x = 12°
y = 1.4 cm
Step-by-step explanation:
1. Because the two triangles are similar, their corresponding angles are congruent.
so
3x + 14 = 50
Subtract 14 from both sides
3x = 36
Divide both sides by 3
x = 12
x = 12° (remember units)
Check work:
3(12) + 14 = 50
36 + 14 = 50
50 = 50
2. Because the two triangles are similar, their corresponding sides are in equal proportion.
Two sides of triangle ABE are
5.6 and 4
And two corresponding sides of triangle ACD are
5.6 + y and 5
So
5.6 / 4 = (5.6 + y) / 5
Cross multiply
5.6 * 5 = 4(5.6 + y)
Multiply 5.6 * 5 on the left
28 = 4(5.6 + y)
Distribute the 4 to each term
28 = 4*5.6 + 4*y
Simplify the right side
28 = 22.4 + 4y
Subtract 22.4 from both sides
5.6 = 4y
Divide by 4 on both sides
1.4 = y
y = 1.4 cm (remember units)
Check our work:
5.6/4 = (5.6 + 1.4)/5
1.4 = 7/5
1.4 = 1.4
factories each of the following −2x2 −20x −18
Answer:
2(x + 9)(x + 1)
Step-by-step explanation:
First, take out a GCF if possible. Each coefficient is dividable by 2, so 2 is the GCF.-2(x^2 + 10x + 9)
→ The main quadratic equation is equal to ax^2 + bx + c.
Then, use a factoring pattern to factor the expression in parentheses. The factors of C that add up to equal B are the two factors.2(x + 9)(x + 1)
The expression cannot be factored any further.
The vertex of the angle below is the center of the circle. Find n if n% of the circle is shaded. Give your answer as a mixed fraction.
Answer:
33 1/3 %
Step-by-step explanation:
120degree is shaded
There are 360 degrees in a circle
120/360
1/3
.33333
33 1/3 %
AREA OF FIGURES. URGENT.
Answer:
big area/small area = (big length/small length)^2
24/small area = (6/3)^2
24/sa = 4
sa= 6
7x²-2-3x²
I’m trying to combine like terms
Answer:
4x^2−2
Step-by-step explanation:
Let's simplify step-by-step.
7x^2−2−3x^2
=7x^2+(−2)+(−3x^2)
Combine Like Terms:
=7x^2(+−2)+(−3x^2)
=(7x^2+(−3x^2))+(−2)
=4x^2+−2
Answer:
=4x2−2
HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?
Answer:
33
Step-by-step explanation:
For every 5 squares, two are red and three are green. So 3/5 of the squares are green.
3/5x55=33
Chris had $4 in cash, with which he purchased coffee for $0.79, a bag of chips for $1.69 and a lottery ticket for $1.00. If he does not have to pay sales tax, how much change should he receive?
Answer:
£0.79 add £1.69 add £1.00 equals £ 3. 4 8
Take away £4.00 and change is 52p
Step-by-step explanation:
An equation is formed of two equal expressions. The change that Chris would receive is $0.52.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='. while an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that Chris had $4 in cash. Also, he purchased coffee for $0.79, a bag of chips for $1.69 and a lottery ticket for $1.00. Therefore, the change he would receive is,
Change = Cash Chris has - Cost of coffee - Cost of chips - Cost of lottery
= $4 - $0.79 - $1.69 - $1.00
= $0.52
Hence, the change that Chris would receive is $0.52.
Learn more about Equation:
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46°
X
Х
X =
degrees.
Answer:
x = 67°
Step-by-step explanation:
The 2 base angles x are congruent , then
x = [tex]\frac{180-46}{2}[/tex] = [tex]\frac{134}{2}[/tex] = 67°
Answer:
X= 67 degrees.
Step-by-step explanation:
All triangles must add up to 180°. This is an isosceles triangle which means once you have one degree you can find the other two.
In order to get the answer start with 180°-46°
180-46=134
The two x's equal each other. So you can divide the remaining degrees by 2 to get the answer.
134÷2=67.
So the answer is 67°.
URGENT PLZ HELP THANK YOU!
Answer:
[tex](-5)^{11}[/tex]
Step-by-step explanation:
We can use the exponent rules. If we have [tex]\frac{a^b}{a^c}[/tex], then it will simplify to [tex]a^{b-c}[/tex].
b is 5, c is -6, and a is -5 so:
[tex]-5^{5-(-6)}\\-5^{11}[/tex]
Hope this helped!
Side AB of square ABCD is parallel to the Y axis and the perimeter of ABCD is 36. If the coordinates of point B is (5,17) . What is the coordinates of Pont D ?
============================================
Explanation:
The perimeter of the square is 36, so each side length is 36/4 = 9 units.
Point B is located at (5,17). We move down 9 units to get to (5,8), which is the location of point A. Then we move 9 units to the right to arrive at (14,8) which is point D's location.
Or we could go from B = (5,17) to C = (14,17) and then to D = (14,8). Each time we move 9 units.
A tap takes 3 hours to fill a tank. A discharge tap takes 6 hours to empty the same tank. How long will it take to fill the tank with both taps open?
Answer:
2 hours
Step-by-step explanation:
first tap= 3hours
therefore work done is = 1/3
second tap= 6hours
therefore work done = 1/6
so, 1/3+ 1/6
=2/6 + 1/6
=3/6
=1/2
=2/1 hours
=2 hours
Solve for x.
3(x + 2) = 12
x=2
x=33
x=4 2/3
x=6
Answer:
x=2
Step-by-step explanation:
3(x + 2) = 12
Distribute
3x+6 = 12
Subtract 6 from each sdie
3x+6-6 = 12-6
3x = 6
Divide by 3
3x/3 = 6/2
x=2
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 2
▹ Step-by-Step Explanation
3(x + 2) = 12
Distribute:
3x + 6 = 12
Subtract 6 from each side:
6 - 6 = 0
12 - 6 = 6
Rewrite:
3x = 6
Divide each side by 3:
3/3 = x
6/3 = 2
x = 2
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Can someone do this for me please
Answer:
p=5/8
Step-by-step explanation:
you first have to work out the brackets
5p+7=3(4-p)
5p+7=12-3p
then you have to group the like terms
5p+3p=12-7
8p=5
8p/8=5/8
p=5/8
you can also live it as a decimal
I hope this helps
Answer: p = 5/8
Explanation:
⇒5p + 7 = 3(4 -p)
⇒5p + 7 = 12 - 3p
⇒5p + 3p = 12 - 7
⇒8p = 5
⇒p = 5/8
Must click thanks and mark brainliest
Evaluate sin^-1 1/2 . Round your answer to the nearest hundredth.
Answer:
30.00Step-by-step explanation:
Given the expression [tex]sin^{-1} 1/2[/tex], the following steps must be taken to evaluate the expression.
[tex]Let\ y = sin^{-1}1/2[/tex]
[tex]y = sin^{-1} 0.5[/tex]
From the calculator, the value of y wil give;
[tex]y = 30\\\\y = 30.00 (to\ the \ nearest \ hundredth)[/tex]
Hence [tex]sin^{-1} 0.5 = 30.00[/tex].
Answer:
Step-by-step explanation:
The answer is 0.52
Hope that helped
For a quadratic function y = ax² + bx + c, suppose the constants a, b, and c are consecutive terms of a geometric sequence. Show that the function does not cut the x axis.
Hello, because of the geometric sequence we can say that:
[tex]\alpha = \dfrac{b}{a}=\dfrac{c}{b}\\\\\dfrac{c}{a}=\dfrac{c*b}{a*b}=\dfrac{c}{b}\dfrac{b}{a}=\alpha^2\\\\\text{So the equation becomes.}\\\\ax^2+bx+c=0<=>x^2+\dfrac{b}{a}x+\dfrac{c}{a}=0\\\\<=>x^2+\alpha x+ \alpha^2=0\\\\\Delta=b^2-4ac = \alpha^2-4\alpha^2=-3\alpha^2 < 0[/tex]
So there is no real root, so the function does not cut the x axis.
Thank you
For the given quadratic function, the x-axis is not cut by the function because there is no true root.
What is a quadratic function?To determine values for various parameters, quadratic functions are employed in a variety of scientific and engineering disciplines. A parabola is used to graphically illustrate them. The orientation of the curve is defined by the highest degree factor.
As per provided data in question,
α = b/a = c/b
c/a = (c × b)/(a × b) = (c/b) (b/a) = α²
For the equation,
ax² + bx + c = 0
x² + b/a(x) + c/a = 0
⇒ x² + ax + α² =0
Δ = b² - 4 ac = α² - 4α²
Δ = -3α² < 0, which means that no real root is there.
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Graph the function f(x)=6x^5+8x^4-7x^3-5x^2+10 by making a table of values.
Answer:
Step-by-step explanation:
A fifth-grade polynomial requires a minimum of 6 different points to create an adequate graph. Let is [tex]X[/tex] the dominion of the polynomial, such that [tex]0[/tex], [tex]1[/tex], [tex]2[/tex], [tex]3[/tex], [tex]4[/tex], [tex]5[/tex] [tex]\in X[/tex]. The values of the function for each value are calculated herein:
x = 0
[tex]f(0) = 6\cdot 0^{5}+8\cdot 0^{4}-7\cdot 0^{3}-5\cdot 0^{2}+10[/tex]
[tex]f(0) = 10[/tex]
x = 1
[tex]f(1) = 6\cdot 1^{5}+8\cdot 1^{4}-7\cdot 1^{3}-5\cdot 1^{2}+10[/tex]
[tex]f(1) = 12[/tex]
x = 2
[tex]f(2) = 6\cdot 2^{5}+8\cdot 2^{4}-7\cdot 2^{3}-5\cdot 2^{2}+10[/tex]
[tex]f(2) = 254[/tex]
x = 3
[tex]f(3) = 6\cdot 3^{5}+8\cdot 3^{4}-7\cdot 3^{3}-5\cdot 3^{2}+10[/tex]
[tex]f(3) = 1882[/tex]
x = 4
[tex]f(4) = 6\cdot 4^{5}+8\cdot 4^{4}-7\cdot 4^{3}-5\cdot 4^{2}+10[/tex]
[tex]f(4) = 7674[/tex]
x = 5
[tex]f(5) = 6\cdot 5^{5}+8\cdot 5^{4}-7\cdot 5^{3}-5\cdot 5^{2}+10[/tex]
[tex]f(5) = 22760[/tex]
The table is now presented:
x y
0 10
1 12
2 254
3 1882
4 7674
5 22760
Finally, the graphic is now constructed by using an online tool (i.e. Desmos). The image is included below as attachment.
An inchworm (exactly one inch long, of course) is crawling up a yardstick (guess how long that is?). After the rst day, the inchworm's head (let's just assume that's at the front) is at the 3" mark. After the second day, the inchworm's head is at the 6" mark. After the third day, the inchworm's head is at the 9" mark. Let d equal the number of days the worm has been crawling. (So after the rst day, d = 1.) Let h be the number of inches the head has gone. Let t be the position of the worm's tail.
40 POINTS!! AND BRAINLIEST!! The equation of the line is Y=2.x- 1.8. Based on the graph which of the following are true?
(select all that apply)
A. If tony stays for 30 minutes in the record store it is likely her will spend $70
B. Each additional minute tony spends in the store is associated with an additional cost of $2.40
C. The correlation coefficient for the line of best fits 2.4
D. The line of best fit will have a positive correlation coefficient.
Answer:
The correct statment is B.
Step-by-step explanation:
A. is not correct: y = 2.4(30) - 1.8 does not equal 70...
B. Is correct because the slope is 2.4 From the equation
C. is not correct because the points have no 2.4 (maybe 2.2)? difference.
D. is not correct. the correlation isn't positive.
Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
O Divide 12 by 5.
O Multiply -6 and 3.
O Divide 12 by -6.
Add 3 and -2.
Answer:
hello there...
you know BODMAS for sure
First brackets then of then divi then multi then add and then subtract
going by BODMAS
we need to first of all multiply of -6 and 3
hence ans is multiplying -6 and 3
( option 1 Is wrong by the equation u sent if the equation is correct then ans is which given bur by options I think equation is wrong becoz I don't see divide symbol)
The perpendicular distance of the point from x axis is 2 units and the perpendicular distance from y axis is 3 units.Write the co-ordinates of the if it lies in
Answer:
Step-by-step explanation:
Given that :
the perpendicular distance of the point from x axis = 2 units
the perpendicular distance from y axis is 3 units
The objective is to the write the coordinates of the points if it lies in
(i) | Quadrant (ii) || Quadrant (iii) ||| Quadrant (iv) |v Quadrant
The position of a point in a plane is conveniently specified by the distances fro two perpendicular lines.The lines are called the x-axis and y-axis and their [point of intersection is called the origin.
The perpendicular distance from the y-axis is called the x- coordinate or abscissa and the perpendicular distance from x-axis is called the y-coordinate or ordinate,The coordinate form an ordered pair with the abscissa written as first.
With that be said, So In the given question,
the perpendicular distance of the point from x axis = 2 units
y coordinate = ±2
the perpendicular distance from y axis is 3 units
x coordinate = ±3
The ordered pair of the coordinates = ( ±3, ±2)
Therefore;
in | quadrant ; we have (3,2) where x and y are both on the positive axis
in || quadrant ; we have (-3,2) x is on the negative axis and y is on the positive axis
In ||| quadrant ; we have (-3. -2) both x and y are on the negative axis
In |v quadrant ; we have ( 3, -2) x is on the positive axis and y is on the negative axis.
Help me please. I need it
Answer/Step-by-step explanation:
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to solve each problem.
1. Distance between A(0, 0) and B(-5, 7):
[tex] (0, 0) = (x_1, y_1) [/tex]
[tex] (-5, 7) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(-5 - 0)^2 + (7 - 0)^2} = \sqrt{(-5)^2 + (7)^2} = \sqrt{25 + 49} [/tex]
[tex] AB = \sqrt{74} [/tex]
2. Distance between A(-3, 1) and B(-11, 1):
[tex] (-3, 1) = (x_1, y_1) [/tex]
[tex] (-11, 1) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(-11 - (-3))^2 + (1 - 1)^2} = \sqrt{(-8)^2 + (0)^2} = \sqrt{64 + 0} [/tex]
[tex] AB = \sqrt{64} = 8 [/tex]
3. Distance between A(-3, -2) and B(5, 6):
[tex] (-3, -2) = (x_1, y_1) [/tex]
[tex] (5, 6) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(5 - (-3))^2 + (6 - (-2))^2} = \sqrt{(8)^2 + (8)^2} = \sqrt{64 + 64} [/tex]
[tex] AB = \sqrt{128} = \sqrt{64*2} [/tex]
[tex] AB = 8\sqrt{2} [/tex]
4. Distance between A(-2, -5) and B(-6, 1):
[tex] (-2, -5) = (x_1, y_1) [/tex]
[tex] (-6, 1) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(-6 - (-2))^2 + (1 - (-5))^2} = \sqrt{(-4)^2 + (6)^2} = \sqrt{16 + 36} [/tex]
[tex] AB = \sqrt{52} [/tex]
None of the choices are correct
If m ZABD = 78°, what are mZABC and mZDBC?
(5x+3)
(5x-5)
Hi, I'm happy to help!
First, we need to solve for x. We know that ABD is 78 degrees. (5x+3), and (5x-5) combined are also 78 degrees. So, we combine the like terms of these to get a new expression.
(5x+3) +(5x-5)
10x-2=78
From here, we want to single out the x, by editing both sides in the same way.
10x-2=78
+2 +2
10x=80
÷10 ÷10
x=8
Now that we know what x is, we can plug it in to the previous expressions to get the angles of ABC and DBC.
(5x-5)
((5·8)-5)
(40-5)
35
Now, we know that ABC is 35 degrees.
(5x+3)
((5·8)+3)
(40+3)
43
Now, we also know that DBC is 43 degrees.
To verify our answer we can add ABC and DBC together to check if it totals to ABD.
35+43=78
Now, we know that the answer: ABC is 35 degrees and DBC is 43 degrees is correct.
I hope this was helpful, keep learning! :D
im not that good at maths but i can solve some stuff but some i just have no clue help 5x - 11 =3 [ x - 9]
Answer:
if im understanding right the answer should be x = -1
Step-by-step explanation:
5x - 11 = 3x - 9
subtract 3x
2x -11 = -9
add 11
2x = -2
divide by 2
x = -1
10.
J
A
B
0
L
с
K
Not drawn to scale
JK, KL, and are all tangent to circle O. JA = 9, AL = 10, and CK = 14. What is the perimeter of AJKL?
66 units
46 units
O 33 units
38 units
Answer:
66
Step-by-step explanation:
The figure of triangle JKL is attached. JA = 9, AL = 10, and CK = 14.
According to two tangent theorem, the tangent to a circle that meets at the same point is equal to each other. Therefore:
AJ = BJ, AL = CL, CK = BK.
Since AJ = 9, BJ = AJ = 9
AL = 10, CL = AL = 10
CK = 14, BK = CK = 14.
Therefore the lengths of the triangle sides are:
JL = AJ + AL = 9 + 10 = 19
JK = BJ + BK = 9 + 14 = 23
KL = CL + CK = 14 + 10 = 24
The perimeter of the triangle is the sum of all its sides, it is given as:
Perimeter = JL + JK + KL = 19 + 23 + 24 = 66
1. David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car. Find a function that represents the value of David’s car, V(t), after t years.
2. How much will David’s car be worth 6 years after he bought it?
Answer:
V(t) = 14,000(0.89)^t
Step-by-step explanation:
Present value of the Dodge Challenger = $14,000
Present percentage value = 100%
Depreciation value = 11%
Number of years = t
Future value = V(t)
V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t
= 14,000(100% - 11%)^t
= 14,000(89%)^t
= 14,000(0.89)^t
V(t) = 14,000(0.89)^t
What is the coefficient of the variable in the expression 6 − 4x − 8 + 2
Answer:
-4
Step-by-step explanation:
6 − 4x − 8 + 2
The variable is x
The coefficient is the number in front of the variable ( it will include the sign)
-4 is the coefficient
Answer:
-4
Step-by-step explanation:
Narasimha, Madhu and Pavan started a business by investing Rs. 120,000, Rs. 135,000 and Rs. 150,000 respectively. Find the share of Pavan, out of an annual profit of Rs. 56,700.
Answer:
1.
= Here,
Narasimha invest = 120,000
Madhu 135,000
pavan =
(4) The Highest Common Factor of 35pq^2, -14pq^2 and -21p^2q^3 is
[tex]35pq^2=5\cdot7\cdot p\cdot q^2\\-14pq^2=-1 \cdot 2\cdot 7\cdot p \cdot q^2\\-21p^2q^3=-1\cdot 3\cdot 7\cdot p^2 \cdot q^3\\\\\text{hcf}(35pq^2,-14pq^2,-21p^2q^3)=7\cdot p \cdot q^2=7pq^2[/tex]
(10x²+19x+6) ÷(5x+2)
Answer:
2x + 3
Step-by-step explanation:
(10x² + 19x + 6) ÷ (5x + 2) =
= (10x² + 15x + 4x + 6) ÷ (5x + 2)
= [5x(2x + 3) + 2(2x + 3)] ÷ (5x + 2)
= [(5x + 2)(2x + 3)] ÷ (5x + 2)
= 2x + 3
Answer:
2x+3 is your answer
What is the value of the expression 3.9x10^5/1.3x10^2?
I will mark Brainliest whoever person I actually trust.
Answer:
3 * 10 ^3
Step-by-step explanation:
Divide the numbers
3.9 / 1.3
3
Subtract the powers of 10
10^5 / 10^2 = 10 ^ (5-2) = 10^3
The result is 3 * 10 ^3
[tex] \frac{3.9 \times {10}^{5} }{1.3 \times {10}^{2} } \\ = \frac{3.9}{1.3} \times {10}^{5 - 2} \\ = 3.0 \times {10}^{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Bob is mailing packages. Each small package costs him $2.30 to send. Each large package costs him $2.80 . How much will it cost him to send 7 small packages and 1 large package?
Hi
2.30 for small and 2.80 for large .
7 small + 1 large : 7*2.30 +1*2.80 = 16.10 + 2.80 = 18.90
Answer:
2.30 for small and 2.80 for large .
7 small + 1 large : 7*2.30 +1*2.80 = 16.10 + 2.80 = 18.90
Step-by-step explanation: