Answer:
B. 31°, 106°, and 43°.
Step-by-step explanation:
the sum of the measures of the angles in a triangle add up to 180°, so:
3x+1+11x-4+5x-7=180
19x-10=180
19x=190
x=10
now that we know x is equal to 10, we can find the three angle measures:
3x+1 -> 3(10)+1 = 31°
11x-4 -> 11(10)-4 = 110-4 = 106°
5x-7 -> 5(10)-7 = 50-7 = 43°
so, the answer is B.
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
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
Please help!!!!!!
Which of these are examples of mutually beneficial interactions? Choose all that apply.
A. Ants living in special hollow thoms in a tree rush out and sting plant-eaters.
B. An orchid grows high in a tree to get more sunlight, but it does not affect the tree.
c. Wolves eat the deer that cannot run as fast as the other deer.
D. A bee gets nectar and pollen from the clover flowers in a meadow.
E. A tick bites a dog and drinks the dog's blood.
Answer:
A. The tree provides shelter for the ants, and the ants help the tree to stay alive
PLEASE HELP ASAP!
Write the equation in standard form for the circle with radius √43 and center (4, − 7).
Answer:
[tex](x-4)^2+(y+7)^2=43[/tex]
Step-by-step explanation:
The standard equation of a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, h = 4, k = -7, and r = √(43). Substitute:
[tex](x-(4))^2+(y-(-7))^2=(\sqrt{43})^2[/tex]
Simplify. Hence, our equation is:
[tex](x-4)^2+(y+7)^2=43[/tex]
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
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
Can someone tell the answer, no one else seemed to know it.
Answer:
it is right bro x+ 2 .......mark me brainiest please
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]
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.
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]
It cost Josiah $4.48 to send 112 text messages. What is the cost of sending text
messages, in dollars per text?
Answer:
4 cents
Step-by-step explanation:
4.48 divided by 112 = 0.04
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...
20 POINTS
The function f(x)=45x represents the number of jumping jacks j(x) you can do in x minutes. How many jumpibg jacks can you do in 10 minutes
Answer:
450 jumping jacks
Step-by-step explanation:
f(10) = 45 (10)
45 * 10 is just 450 :)
Answer:
450.
Step-by-step explanation:
f(10) = 45 * 10 = 450 jumping jacks.
How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions? How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions?
Answer and explanation:
To construct a circle, draw a line that represents the diameter of the circle. Bisect the line so that it is a perpendicular bisector of the diameter of the circle. Place your compass at the bisection point/midpoint and draw an arc or better still the whole circle.
Theorem: the perpendicular bisector of a chord passes through the center of a circle.
Note: a diameter of a circle is a chord that passes through the center of a circle.
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.
HELP ASAP NEED HELP. WILL GIVE BRAINIEST AND 100 POINTS.
Algebra 1
Use the function f(x) = 4x^2 - 7x - 15 to answer the questions.
Part a: completely factor f(x).
Part b: what are the x-intercepts of the graph of f(x)? Show your work.
Part C: describe the end behavior of the graph of f(x). Explain.
Part D: what are the steps you would use to graph f(x)? Justify that you can use the answers obtained in part B and part C to draw the graph.
Answer:
A: [tex]f(x)=(4x+5)(x-3)[/tex]
B: [tex](-\frac{5}{4} , 0)[/tex] and [tex](3, 0)[/tex]
C: They are parallel, which means they have no endpoint.
Can someone help me please
Answer:
Perimeter=32
Step-by-step explanation:
Perimeter=Sum of all sides
=8+2+2(on opposite side) +3+3+6+6(on opposite side) +(8-(3+3)) [The bottom side] =32
Which statements about the factors of the terms in the expression 12 x + 18 x y minus 24 y are true? Select three options.
The factors common to 12x and 18xy are 1, 2, 3, 6, x, and y.
The factors common to 12x and 18xy are 1, 2, 3, 6, and x.
The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.
The GCF of the expression is 6xy.
The GCF of the expression is 6.
Answer:
i think the answer is Options B, C and E holds.
Step-by-step explanation:
this makes options B and C a choice:
Given the expression: 12x+18xy-24y
Factors of 12x=1,2,3,4,6,12 and x
Factors of 18xy=1,2,3,6,9,18,x and y.
Factors of 24y=1,2,3,4,6,8,12,24 and y.
next for E this is why its a choice:
12x+18xy-24y=6(2x+3xy-4y)
Answer:
bce
Step-by-step explanation:
Please HELP WITH THIS !!!
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)
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%
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.
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?
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
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)
(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
#SPJ6
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:
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 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:
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]