Answer: The measurement of angle DBC is 65 degrees
Step-by-step explanation:
Line BD splits ABC into two angles ABD and DBC.
If ABC is 90 then the measures of ABD + DBC will be 90. Since we know the measure of ABD we can make this equation and solve it
[tex]90=25+x\\90-25=25+x-25\\65=x[/tex]
The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x < 1
x - 7 < -4
Answer:
The answer is the third one, x - 7 < 4
Step-by-step explanation:
Please HELP WITH THIS !!!
Triangles PQR and PST are similar to each other. Find the scale factor from the figure.
2
3
4
1.5
2+3=5 and 4+1.5=2SO BY ADDIDING IS 9
I need help with this quickly, I only have a couple hours left before homework is gone.
last day of school is tomorrow....
please answer quickly..
It only has one x intercept
Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept
Suppose you know a certain parabola has a vertex of (2, 1) and a y-intercept of 4. By symmetry, you can conclude that the parabola contains which of the following points?
a) (4,4)
b) (-2,4)
c) (-2,1)
d) (4,1)
Answer:
A
Step-by-step explanation:
We are given a parabola with a vertex point of (2, 1) and a y-intercept of y = 4.
And we want to determine another point on the parabola.
Recall that a parabola is symmetric along the axis of symmetry, which is the x-coordinate of the vertex.
Note that since the y-intercept of the parabola is y = 4, this means that a point on our parabola is (0, 4).
To get from (2, 1) to (0, 4), we move two units left and three units up.
Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).
Our answer is A.
I need help please and thank you!!
Answer:
Option 4
Step-by-step explanation:
2x² + 32 = 0
2x² = -32
x² = -16
sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
Answer:
B
Step-by-step explanation:
They are alternate interior angles so that means they are equal
4x - 30 = 2x
2x = 30
x = 15
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+232x+134
Answer:
Step-by-step explanation:
when it touch the ground,y=0
-16x²+232x+134=0
-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134
-16(x-29/4)²-16(-861/16)=-134
-16(x-29/4)²+861=-134
-16(x-29/4)²=-134-861
(x-29/4)²=-995/-16=995/16
x-29/4=±√995/4
rejecting negative sign
x=29/4+√995/4=(29+√995)/4≈15.14 second
Sam built a ramp to a loading dock. The ramp has a vertical support 2 m from the base of the loading dock and 3m from the base of the ramp. If the vertical support is 1.2 m in height, what is the height of the loading dock?
Answer:
tan angle = x/5.
Step-by-step explanation:
If I understand your description,
tan angle at bottom of ramp = 1.2/3.
Then tan angle = x/5.
Check my thinking.
A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upperbound and the lowerbound for the perimeter of the rectangle. pls answer fast. i need all the workings.
Answer:
Correct to 1dp
127.3 cm = 127.0 cm
86.5 cm = 87.0 cm
Upper limits:
127.0 cm = 127.05 cm
87.0 cm = 87.05 cm
Lower Limits:
127.0 cm = 126.95 cm
87.0 cm = 86.95 cm
upper limit of perimeter of rectangle:
P = 2(l+w)
= 2(127.05 + 87.05)
= 2(214.1)
= 428.2 cm
lower limit of perimeter of rectangle:
P = 2(l+w)
= 2(126.95 + 86.95)
= 2(213.9)
= 427.8 cm
therefore;
[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]
The upperbound and the lowerbound for the perimeter of the rectangle are;
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 427.8 cm
To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;
Length; 127.3 cm ≈ 127 cm
Width; 86.5 cm ≈ 87 cm
Thus;
Upper limit of length = 127.05 cm
Lower limit of length = 126.95 cm
Upper limit of width = 87.05 cm
Lower limit of width = 86.95 cm
Formula for perimeter of rectangle is;
P = 2(length × width)
Thus;
Upper bound perimeter = 2(127.05 + 87.05)
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 2(126.95 + 86.95)
Lower bound perimeter = 427.8 cm
Read more on perimeter of rectangle at; https://brainly.com/question/17297081
a regular polygon has a perimeter of 40 cm and a apothem of 6 cm. find the polygons area
Answer:
a = 120 cm²
Step-by-step explanation:
n = number of sides
edge length
40/n
divide the polygon into n congruent triangles
a = (1/2)(edge * apothem) * number of triangles
a = (1/2)(40/n)(6) * n
n cancels out
a = (1/2)(40)(6)
a = 120 cm²
slope:1/6 point: (24 ,4)
Answer:
y -4 = 1/6(x-24)
y = 1/6x -2
Step-by-step explanation:
We can point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -4 = 1/6(x-24)
Or we can write slope intercept form
y = mx+b where m is the slope and b is the y intercept
Substituting the points
4 = 1/6(24)+b
4 = 6+b
4-6 = b
-2 =b
y = 1/6x -2
Answer:
[tex]y = mx + c \\ 4 = (\frac{1}{6} \times 24) + c \\ 4 = 4 + c \\ c = 0 \\ y = \frac{1}{6} x[/tex]
Which are the solutions of the quadratic equation?
x2 = 9x + 6
StartFraction negative 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 105 EndRoot Over 2 EndFraction
StartFraction negative 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 57 EndRoot Over 2 EndFraction
StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction
StartFraction 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 57 EndRoot Over 2 EndFraction
Derek can carry 65% of his weight in
his backpack while camping. If his
backpack weighs 88.4 pounds, how
much does Derek weigh?
Simplify √49 + [√81 - x(9x = 14)]
[tex]\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
Answer:
15.25%
Step-by-step explanation:
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
We solve using the z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = μ = 12.34 ounces
σ is the population standard deviation = σ = 0.04 ounce
For x = 12.24
z = 12.24 - 12.34/0.04
z = -2.5
Probability value from Z-Table:
P(x = 12.24) = 0.0062097
For x = 12.30
z= 12.30 - 12.34/0.04
z = -1
Probability value from Z-Table:
P(x = 12.30) = 0.15866
Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice
P(x = 12.30) - P(x = 12.24)
= 0.15866 - 0.0062097
= 0.1524503
Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:
= 0.1524503 × 100
= 15.24503%
= 15.25%
Directions: Solve for X Round your answer to the nearest tenth. Make sure you calculator
is in degree model
12
Answer:
36.87
Step-by-step explanation:
Using tan inverse of 9 over 12
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )
A furniture store in Livingston purchased an arcade machine at a cost of $993 and marked it up 200%. Later on,
Nicholas bought the arcade machine. If the sales tax in Livingston is 14%, how much did he pay in all?
please solve asap in my math final
find the value of x show ur work
Answer:
Step-by-step explanation:
43 + 24 + 57 + x = 180 degree (being sum of interior angles of a triangle)
124 + x = 180
x = 180 - 124
x = 56 degree
in small triangle
57 + 24 + z = 180 degree (sum of interior angles of a triangle )
81 + z = 180
z = 180 - 81
z = 99 degree
in big triangle
x + 43 + y = 180 degree (sum of interior angles of a triangle )
56 + 43 + y = 180
99 + y =180
y = 180 - 99
y = 81 degree
The value of x= 56°
Hope it helps you...
Find the y-intercept of the line which passes through (-2,-2) and (2,-4). O A. (0, -3) O B. (-3,0) O C. (0, -6) O D. (-6,0) O E. (0,-5)
9514 1404 393
Answer:
A. (0, -3)
Step-by-step explanation:
Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...
(0, -3)
Can someone help ?! Please
Answer:
A
Step-by-step explanation:
A prime number only has 2 factors, that is
1 and the number itself
factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
factors of 22 are 1, 2, 11, 22
factors of 33 are 1, 3, 11, 33
factors of 37 are 1, 37
Therefore 37 is a prime number
is the ordered pair a solution of the equation?
y= 3x + 4; (4, 16)
Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
(1.8x10^5)divided by(3x10^6) in standard form?
Answer:
0.06
Step-by-step explanation:
Given data:
[tex]1.8(10^{5})[/tex] divided by 3×[tex]10^{6}[/tex]
Now,
[tex]\frac{(1.8)10^{5} }{3(10^{6}) } \\=0.6(10^{5-6} )\\=0.6(10^{-1} )\\=0.06[/tex]
Answer will be 0.06
The correct standard form is 0.06.
1.8 x 10⁵ divided by 3 x 10⁶
(10)ᵃ × (10)ᵇ = (10)ᵃ⁺ᵇ
(10)ᵃ ÷ (10)ᵇ = (10)ᵃ⁻ᵇ
(1.8 x 10⁵)/3 x 10^6 = 6 x 10⁻²
6/10² = 0.06
Therefore, the standard form is 0.06.
Learn more about divide here:
https://brainly.com/question/29431018
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how does the graph of g(x)=3(2)^x -5 compare to the graph of g(x)=2^x
Answer:
Step-by-step explanation:
The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x. Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.
To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1). We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3). Finally, we translate the entire new graph downward 5 units.
Which of the following represents discrete data?
A. Time it takes to run a race
B. Height of your father
C. Weight of a dog
D. Number of Big Macs sold by a local McDonald's
Answer: I think D IM GUESSING
Step-by-step explanation:
I think D cuz It has McDonald's in it and I'm lovin' it... Jk
Answer:
The answer is D
Step-by-step explanation:
BRAINLIEST 1+1+1+1+1+1+1+2424+342+8482384-83838+2333232842852948+284884494924929040294099304-9392382948394892928492848+444+490539532-344435345=
Answer:
2.7549211e+26
hope this helps!
add me as a friend if you can:)
Answer:
You can copy and paste your question into go.ogle and then you can find the answer.
Evaluate 2(4 - 1) Ο Α. 36 ОВ. 60 O C. 30 O D. 18
please help
Answer:
D
Step-by-step explanation:
2*3^2
2*9
18
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:18}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 \: ( \: {4 - 1} \: )^{2} [/tex]
[tex] = 2\: (\: {3} \: )^{2} [/tex]
[tex] = 2 \: ( \: 3 \times 3 \: )[/tex]
[tex] = 2 \times 9[/tex]
[tex] = 18[/tex]
Note:-[tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Factor this polynomial expression. 2X2 + 12x + 18
A. 2(x+3)(x+3)
B. 2(x - 3)(x-3)
c. 2(x+3)(x - 3)
D. (2x + 9)(x+2)
[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 12x + 18[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]
Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,
[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]
Taking the factor [tex](x+3)[/tex] as common,
[tex] = 2 \: ( x + 3)(x + 3)[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Which equation can be used to solve a - 5 = 30?A. a = 30 - 5 B. a = 30 + 5 C a = 30 + 5 = 5 D a = 30.5
Which equation can be used to solve a - 5 = 30
answer= a=30+5
HOPE THIS HELPS YOU......
26. During a sale, a store offered a 20% discount on a particular camera that was originally priced at $450.
Jamirah used a coupon that earned her an additional discount of 10%. What was the price of the camera
after both discounts were applied?
A $420
B $350
C $324
D $315
=
Answer:
D.$315
Step-by-step explanation:
$450=100%
100%-20%-10%=70%
$450×70%=$450×70/100
=$315
Answer:
The answer is D.