Answer:
x = 2
Step-by-step explanation:
6x-1=11
Add 1 to each side
6x-1+1=11+1
6x = 12
Divide by 6
6x/6 = 12/6
x = 2
Answer:
x = 2Step-by-step explanation:
[tex]6x-1=11 \\\\Collect \: like \:terms\\\\6x = 11+1\\\\Simplify\\\\6x =12\\\\Divide\:both\:sides\:by\:6\\\\\frac{6x}{6} = \frac{12}{6}\\ x = 2[/tex]
Find x. A. 332–√ B. 113–√ C. 33 D. 443–√
Answer:
C. 33.
Step-by-step explanation:
The sides of a 45-45-90 triangle are in the ratio 1:1:√2 so the side opposite to 45 degrees = 11√6 / √2.
Consider the larger triangle containing the 60 degree angle:
tan 60 = x / (11√6 / √2).
x = tan 60 * 11√6 / √2
x = 33.
The value of the variable x will be 33 units. Then the correct option is C.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The diagram is shown below.
Let h be the height of the triangle.
The value of h is given by the sine of angle 45°. Then the value of the height h will be
sin 45° = h / 11√6
h = 11√6 × 1/√2
h = 11√3 units
The value of h is given by the tangent of angle 60°. Then the value of the height h will be
tan 60° = x / h
x = 11√3 × √3
x = 11 × 3
x = 33 units
Thus, the value of the variable x will be 33 units.
Then the correct option is C.
More about the right-angle triangle link is given below.
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What is the sale price of this bed after the discount has been taken off the standard price?
Answer:
585 is the answer of your question.
Step-by-step explanation:
because formula is
Mp _ d% of mp
Jan has three times as many marbles as Liana. If Jan gives 3 of her marbles to Liana,
they will have the same number. How many marbles do they have between them?
(A) 18
(B) 6
(C) 8
(E) 16
Answer:
Step-by-step explanation:
I got 12 so not sure.
3x-3=x+3
2x=6
X=3
So 3x3 =9. +3. =12
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
12
Step-by-step explanation:
Since it's a equilateral triangal all sides are equal.
First you double 6 since that is a right angle in the triangle the other side will have the same length. 6x2=12.
Cam’s tent (shown below) is a triangular prism.
Find the surface are, including the floor of his tent
PLEASE HELP
Answer:
21.4 m²
Step-by-step explanation:
To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.
Let's start with the triangles. The area of any triangle is [tex]\frac{bh}{2}[/tex]. The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.
[tex]\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7[/tex]
So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:
[tex]1.7\cdot2=3.4[/tex]
Now let's find the area of the sides.
The side lengths are 2 and 3, so
[tex]2\cdot3=6[/tex], and there are 3 sides (including the bottom/floor) so [tex]6\cdot3=18[/tex].
Now we add.
[tex]18+3.4=21.4[/tex] m².
Hope this helped!
Answer: 21.4 square meters^2
Step-by-step explanation:
A square playground has sides that each measure 120 feet in length.
On a scale drawing, - inch represents 5 feet on the playground.
How long is a side of this playground on the scale drawing?
Answer:
24 inches
Step-by-step explanation:
So, 1 inch = 5 feet
then, x inch = 120 feet
Let's represent this as a ratio.
1 inch / x inch = 5 feet / 120 feet
1 inch / x inch = 1 feet /24 feet
x = 24 inches
Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 50° Celsius. They also find that the temperature decreases by 3° Celsius for each kilometer you go up from the surface. Let T represent the temperature (in Celsius), and let H be the height above the surface (in kilometers). Write an equation relating T to H, and then graph your equation using the axes below.
Answer:
T(H) = -3H + 50.
Step-by-step explanation:
The constant will be 50 degrees Celsius. The surface temperature at the location will not change. The temperature decreases by 3 degrees Celsius for every kilometer going up, so the slope will be -3 degrees.
You are trying to find the temperature on the planet, and you are changing the kilometers of altitude to find the temperature. The x-variable is your independent variable, which means that you will be changing the x-variable. So, H is your x-variable while T is your y-variable.
T = -3H + 50.
To graph, we can use the Math is Fun Function Grapher and Calculator. The graph is seen below.
Hope this helps!
help pls will give brainly
Answer:
Graph B
Step-by-step explanation:
Look at the first part of the function: 2-x , -7 ≤ x ≤ 5
If you put -7 in place of x you'll have:
2 - (-7) = 2 + 7 = 9
In the graph A, the point x = -7 have a y = 8, so cannot be the graph A. and it have to be graph B
If a person invests $250 at 9% annual interest, find the approximate value of the investment at the end of 15 years
Answer:
The end balance is $910.62 and the total interest $660.62. (That is without tax or inflation rate) I hope this helps.
Step-by-step explanation:
Answer:
without tax: interest total=$660.62
Step-by-step explanation:
I multiplied...
4.5 X 6 - 1243
0 26
21
O
6
o
-10
Answer:
-1243
Step-by-step explanation:
4.5×6-1243
27-1243
=-1216
find the lcm of 10a²b,15ab²c and 20bc²
Answer:
jsjuuusjus??dujj??uu?jw?wuw?jjdj
Step-by-step explanation:
e
q
iwsj
l
In a group of 900 people, 323 have blood type A 167 have blood type B, 210 have blood type o, and 200 have blood type AB. What is the probability that a person
chosen at random from this group has type A blood?
00.23
0036
0022
O 0.19
Answer:
0.036
Step-by-step explanation:
We can find the probability by dividing the number of people with type A blood by the total amount of people.
There are 900 people in total and 323 of them have type A blood.
323/900
= approximately 0.036
Answer: Choice B) 0.36
================================================
Work Shown:
323 people have blood type A
900 people are being sampled
323/900 = 0.35888888888889 approximately
This rounds to 0.36, which is the probability of picking someone with type A blood.
We don't use any other values given, so they are probably put in there as a distraction.
Use the circle to represent the following situation and show how you came up with the answer.
For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
✏️ What angle does one slice make?
Answer:
Step-by-step explanation:
order the following expressions by their values from least to greatest
0.00000007834= blank ×10^2 in scientific notation
Answer:
7.834 × 10^-8
Step-by-step explanation:
= 7.834 × 10^-8
(scientific notation)
= 7.834e-8
(scientific e notation)
= 78.34 × 10^-9
(engineering notation)
(billionth; prefix nano- (n))
= 0.00000007834
(real number)
^ means the number after is exponent.
What is the 6th term in the geometric sequence described by this explicit
formula?
an= 3.4(n-1)
Answer:
The 6th term is 3072.
Step-by-step explanation:
A group of architects wish to recreate a modern pyramid like the ones built in
ancient Egypt. This huge monument is designed to have 199 stone bricks in the 5th
layer and 1 stone brick in the 27th and top layer. How many stones will they need to
build the entire pyramid?
Answer:
1,128,330 stones
Step-by-step explanation:
If you multiply how many total layers there are in the pyramid (210) by how many stones there are in each layer (199) before and after the 27th and top layer, you get 41790 stones. Then multiply the top 27 layers by the 41790 stones in those layers then you will get the total amount of stones which comes to 1,128,330 stones needed to build the entire pyramid.
The speed of a car going 50 miles per hour is equivalent to a speed of 80 kilometers per hour. At this rate, what is the speed, in kilometers per hour, of a car that is going 30 miles per hour?
Answer:
48 km/h
Step-by-step explanation:
80/50*30=48 km/h
whats the volume the triangular prism?
Answer:
Step-by-step explanation:
B ----> Base Area
Base is triangle
base = b = 10 in
height = h = 6 in
Area of base B = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]
B = 30 in²
H = 15 in
Volume of triangular prism = BH
= 30 * 15
= 450 in³
Maria is buying new carpet for her bedroom .Her bedroom is in the shape of a square and the length of each side is 12 feet write and simplify an exponential express to find how much carpet she needs.
Answer:
well just do area, and since it's the same in each side 12×4= 144
6
с
2
3.
43
In the figure, which angle has the same measure as 22?
A. 21
B. 23
C. 24
D. 25
Niko is 3 times as old as Lila. Niko's age is the same as adding Lila's age to the product of 3 and Amber's age. Niko is 45 years old. Kameron's age is equal to 2 times the sum of Amber's age and Lila's age. How old is Kameron? years old
Answer:
Kameron is 50 years old.
Step-by-step explanation:
We can make equations and start filling in what we already know, assuming [tex]n[/tex] is Niko's age, [tex]L[/tex] is Lila's age, [tex]a[/tex] is Amber's age, and [tex]k[/tex] is Kamerons age.
Our first equation:
n = 3L
We know that Niko is 45, so
45 = 3L
Divide both sides by 3:
L = 15
So, Lila is 15 years old.
Another equation:
n = L + 3a
We already know Niko and Lila's age:
45 = 15 + 3a
Subtract 15 from both sides:
30 = 3a
Divide both sides by 3:
a = 10
So Amber is 10 years old.
Another equation:
k = 2(a + L)
We know Amber and Lila's age:
k = 2(10 + 15)
k = 2(25)
k = 50
So Kameron is 50 years old.
Hope this helped!
In ΔABC, the measure of ∠C=90°, AC = 40, BA = 41, and CB = 9. What is the value of the tangent of ∠B to the nearest hundredth? *WILL MARK BRAINLIEST*
Answer:
4.44
Step-by-step explanation:
The tangent of B is the relation of the opposite cathetus to the lying cathetus
tg B= AC/CB= 40/9= 4.44
The value of the tangent of angle B is 4.4.
What is the tangent of an angle?In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.
Given that, a right triangle Δ ABC, the measure of ∠C = 90°, AC = 40, BA = 41, and CB = 9. We need to find the value of the tangent of ∠B,
So, here,
The opposite side = AC and the adjacent side = CB
So, tan B = AC / CB = 40/9 = 4.4
Hence, the value of the tangent of angle B is 4.4.
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1. In a batch of 10 items, we wish to extract a sample of 3 without replacement. How many
different samples can we extract?
2. Let X and Y be independent random variables. Suppose the respective expected values
are E(X) = 8 and E(Y) = 3 and the respective variances are V(X) = 9 and V(Y) = 6. Let Z be
defined as Z = 2X - 3Y +5. Based on these data, the value of E(Z) is_ and the value
of V(Z) is
3. The ratio of milk water in 55 liters of adulterated milk is 7: 4. How much water must be
added to make the mixture in a ratio of 7:6?
a) 5 liters
b) 10 liters
c) 15 liters d) None of these
Answer:
1) 120
2) E (Z) = 12 and Variance of Z = 90
a) 5 liters
Step-by-step explanation:
1. We can find this by suing combinations.
Here n= 10 and r= 3 so n C r
= 10 C 3= 120
2. E(X) = 8 and E(Y) = 3
Z = 2X - 3Y +5
E(Z ) = 2 E (X) - 3(E)(Y) +5 ( applying property for mean)
= 2(8) - 3(3)+ 5 = 16+5-9= 21-9= 12
V(X) = 9 and V(Y) = 6.
V(Z) = E(Z )²- V(X) *V(Y) (applying property for Variance for two variables )
= 144- 54= 90
3. 55 liters contain adulterated milk in 7: 4.
So it contains 4/ 11*55= 20 liters of water
But we want to make it a ratio of 7:6
the water will be 6/13 *55= 25.38 when rounded gives 25 liters of water
So 25- 20 = 5 liters must be added to make it a ratio of 7:6
An isosceles triangle has a side that measures 12 inches. What is the length of the hypotenuse
Answer:
[tex] \boxed{12 \sqrt{2} }[/tex]
Step-by-step explanation:
Isosceles triangle are those triangle which have two equal sides.
Perpendicular ( p ) = 12 inches
Base ( b ) = 12 inches
Hypotenuse ( h ) = ?
Now,Using Pythagoras theorem,
[tex] \mathsf{ {h}^{2} = {p}^{2} + {b}^{2} }[/tex]
Plug the values
[tex] \mathsf{ {h}^{2} = {12}^{2} + {12}^{2} }[/tex]
Evaluate the power
[tex] \mathsf{ {h}^{2} = 144 + 144}[/tex]
Calculate the sum
[tex] \mathsf{ {h}^{2} = 288}[/tex]
Squaring on both sides
[tex] \mathsf{h = 12 \sqrt{2} }[/tex]
Hope I helped!
Best regards!
What is the value of 12^0?
Answer:
1
Step-by-step explanation:
Anything real number (except 0) to the zeroth power would be 1.
Therefore, 12 to the zeroth power would also be 1.
[tex]12^0=1[/tex]
Answer:
As you know everynumber raised to 0 is always 1 even if its x or infinity so the answer will be 12^0 will be 1
Step-by-step explanation:
any and every number raised to 0 is 1
Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season.
Answer: Linear model
The fact the height increases the same amount each time indicates we have a linear model. The slope is the rate of growth, so it is 2.5 feet per season.
Keep in mind that the linear model only works for a specific interval and doesn't work forever (the tree can't grow forever and at the same rate). A more realistic scenario is that the tree's height grows quickly at first and then slows down over time. For this type of scenario we would use a logarithmic model.
The linear model best fits the given situation option (B) linear is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The height of a tree increases by 2.5 feet each growing season.
Let h is the height and s be the number of seasons.
The relation between h and s:
h = 2.5s
Thus, the linear model best fits the given situation option (B) linear is correct.
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Is the function f(x) increasing or decreasing over the interval -2 < x <-1?
Answer:
increasing
Step-by-step explanation:
a function is increasing when y increases as x increases
Since the graph goes up as x increases, the function f(x) is increases between -2 and -1
Which equation describes the same line as y- 6 = -4(x + 1)?
O A. y-4x+7
O B. y - 4x4
O c. y - 4x + 2
O D. y=-4x+ 3
Answer:
Option C is correct
Step-by-step explanation:
[tex]y−6=−4(x+1) \\ [/tex]
[tex]y−6=−4x−4 \times 1[/tex]
[tex] y−6=−4x−4 [/tex]
[tex]y=−4x−4+6 [/tex]
[tex]y=−4x+2[/tex]
Hope it is helpful....If x +5 = 2b, find 2x + 10 in terms of b.
Answer:
2x+10=4b
Step-by-step explanation:
If you look at the previous equation, you will notice that
x*2 = 2x and
5*2 = 10.
So now all you need to do is also multiply the right side of the equation with b by 2, just like you did to the left side, and you'll get
2x+10 = 4b.
I hope this helped! :D
Answer:
2x + 10 = 4b
Step-by-step explanation:
Given
x + 5 = 2b ( multiply through by 2 )
2x + 10 = 4b