Answer:
78
Step-by-step explanation:
ur boi got it right
In the triangle below, what is the tangent of 60*?
Answer:
Step-by-step explanation:
We have 3 triangles here, all of them right triangles. The first one is the biggest one, triangle ABC. We know the side length AB = 14, and we know the hypotenuse length, BC = 30. We can use that, along with Pythagorean's Theorem, to solve for side length AC:
[tex]30^2=14^2+(AC)^2[/tex] and
[tex]900-196=(AC)^2[/tex] and
[tex]704=(AC)^2[/tex] so
[tex]AC=8\sqrt{11}[/tex]
We also have the smallest right triangle, triangle ABD, which has the base of x, our unknown. Side BD is our unknown, length x; side AD is the height, length y (also unknown); and side AB is the hypotenuse, length 14. We will come up with a system of equations for these 2 right triangles, using Pythagorean's Theorem, and then solve for x using substitution.
For the medium-sized triangle. triangle ADC, the hypotenuse is side AC with a measure of 8√11, the height is side AD length y, and the base is side DC length 30 - x. Putting those values into Pythagorean's Theorem:
[tex](30-x)^2+y^2=(8\sqrt{11})^2[/tex] and
[tex]900-60x+x^2+y^2=704[/tex] and
[tex]x^2-60x+y^2=-196[/tex]*** That's starred because it's important and we will come back to it.
The smallest triangle in Pythagorean's Theorem:
[tex]14^2=x^2+y^2[/tex] and solving that for y-squared:
[tex]y^2=196-x^2[/tex]. We will now sub that value for y-squared into the starred equation for y-squared and solve for x:
[tex]x^2-60x+196-x^2=-196[/tex] and
-60x = -392 so
x = 6.5
Find the maximum and minimum values by evaluating the equation, C = 4x - 3y at the critical points of the restrictions include the following (picture)
a. minimum: -32; maximum: 45
b. minimum: -45; maximum 32
c. minimum: -45, maximum: -32
d. minimum: 32; maximum: 45
Answer:
fsdfsdf
Step-by-step explanation:
ghlvlc
A rectangle has a length 2 cm larger than its width.
(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the reciangle?
(b) If the area of the rectangle is 63 cmwhat are the dimensions of the rectangle?
(a) The width of the rectangle is cm, and the length of the rectangle is cm.
(Type an integer or a decimal)
>
9 1/3 divided by 7 what is the answer i am having trouble?
Answer:
4/3
Step-by-step explanation:
9 1/3 ÷ 7
Convert the mixed fraction to improper fraction.
28/3 ÷ 7
Reciprocal second fraction.
28/3 × 1/7
Multiply the fractions.
28/21
Simplify the fraction.
4/3
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
=> [tex]9 \frac{1}{3} / 7[/tex]
=> [tex]\frac{28}{3} * \frac{1}{7}[/tex]
=> [tex]\frac{4}{3}[/tex]
=> [tex]1\frac{1}{3}[/tex]
guys please help me out ignore #21
Answer:
8.25
Step-by-step explanation:
To solve, you need to create a system of equations. You will need two variables since you have two numbers. Create your equations based on the descriptions given in the problem.
The difference of two numbers is 4.
x - y = 4
The sum of the two number is -7.
x + y = -7
Your system of equations is
x - y = 4
x + y = -7
You can solve systems of equations through either substitution or elimination. You will get the right answer either way. I will use substitution since that is my preference.
Rearrange the first equation so that it is equal to x.
x - y = 4
x = 4 + y
Plug this x-value into the x in the second equation. Solve for y.
x + y = -7
(4 + y) + y = -7
4 + 2y = -7
2y = -11
y = -11/2
Use the y-value to solve for x. You can plug it into either equation and get the right answer. I will use the first equation.
x - y = 4
x - (-11/2) = 4
x + 11/2 = 4
x = -3/2
Now you have both of the numbers. Multiply to find the product.
-11/2 × -3/2 = 33/4 = 8.25
The answer is 8.25.
A carton contains 20 shirts, of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4, find the value of q.
Answer:
14
Step-by-step explanation:
Mathematically, the probability of drawing a pure cotton shirt = number of cotton shirts/Total number of shirts
Firstly , we are to calculate the number of cotton shirts after the addition of the new four
Thus;
Total number of shirts is now = 20+4 = 24
Let the number of cotton shirts be x after the addition
3/4 = x/24
24 * 3 = 4x
x = 72/4
x = 18
Now kindly recall that q became x only because we added 4 new extra cotton shirts
So the number of cotton shirts before the addition = 18-4 = 14
If x 3 = -27, then what is .x?
-9
0-3
3
9
Quention #SMultiple choice
Answer:
-9
Step-by-step explanation:
3x=-27
Twelve and one fourth plus three and one third equals what
Answer:
15.5833333333 or 15 7/12
Step-by-step explanation:
When you less simplify 1/4 and 1/3, we get 3/12 and 4/12. So, when you add those two fractions, you get 7/12. Now, we add 12 and 3 to get 15. Hence,
the two fractions given equal to 15 7/12.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
62/12 or 5 and 2/12
Step-by-step explanation:
twelve × 4=48 3×3=9 you then change the fourths and the thirds into twelfths. by rinsing the top and bottom by how much you need to, in this case 4×3 and 3×4. Now you've got 52/12+12/12, which equals 62/12 or 5 and 2/12
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
Please help meh lol.
Answer:111m^2
Step-by-step explanation:
Which of the following expressions have a quotient of –2? Check all that apply. –12 ÷ –6 –12 ÷ 6 –6 ÷ –3 6 ÷ –3 –6 ÷ 3
Answer:
12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3
Step-by-step explanation:
Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.
Answer:
2
4
And 5
Step-by-step explanation:
Each term in the sequence below is 2 less than 1/2 the previous term. What term of the sequence will be the first term to be a negative number?
256, 126, 61, 28.5, ....
Plz explain
Answer:
8 th term
Step-by-step explanation:
Continuing the sequence from the last term given (term 4 )
a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25
a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125
a₇ = 0.5 × 4.125 - 2 = 2.125
a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative
The first term to be negative is term 8
Triangle ABC is dilated about the origin by a factor of 2, reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ. Which statement is true? a. The two triangles are congruent because the each transformation is a rigid motion. b. The two triangles are not congruent because the orientation is changed. c. The two triangles are congruent because the orientation did not change. d. The two triangles are not congruent because dilation is not a rigid motion.
Answer:
d. The two triangles are not congruent because dilation is not a rigid motion.
Step-by-step explanation:
Triangle ABC is dilated about the origin b a factor of 2. It is then reflected and translated to form Triangle XYZ.
The new triangle formed is not congruent to ABC because the image is not the same size as the pre-image. It is only rigid transformations that preserve length, however dilation is not a rigid transformation.
how many times does the quadratic function below intersects the X axis?
Answer:
D. 0
Step-by-step explanation:
discriminant = b^2 - 4ac = 3^2 - 4(1)(15) = 9 - 60 = -51
Since the discriminant is negative, this equation has no real solutions. Therefore, the graph does not intersect the x-axis.
Answer: D. 0
Which of these numbers have exactly two factors 7 8 9 10
A B C D
Answer:
A. 7
Step-by-step explanation:
If a number has exactly two factors, 1 and itself, the number is a prime number. The only prime number below is 77= 1*7
8= 1*8= 2*4
9= 1*9= 3*3
10= 1*10= 2*5
Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. find the ratio
Answer:
Cycle : Scooter = 15 : 30
or, Cycle : Scooter = 1 : 2
Step-by-step explanation:
what is the slope of this line
Answer:
-2
Step-by-step explanation:
which lines are parallel ? justify your answer
Answer:
2nd choice
Step-by-step explanation:
Lines p and q are parallel because the alternate exterior angles are congruent.
A 1000 pound boat sits on a ramp inclined at 22 degrees. How much force is pulling down the ramp, and how much force is pressing on a line perpendicular to the ramp?
Answer:
The force pulling down the ramp is 374.6 lb
The force pressing on a line perpendicular to the ramp is 927.1 lb
Step-by-step explanation:
Given;
weight of boat (mg) , w = 1000 lb
angle of inclination of the ramp, θ = 22 degrees.
The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp
Parallel component of the force, F = mgsinθ
F = wsinθ
F = 1000 sin(22)
F = 1000 x 0.3746
F = 374.6 lb
Vertical component of the force which is force pressing on a line perpendicular to the ramp.
F = mgCosθ
F = wCosθ
F = 1000 x Cos(22)
F = 1000 x 0.9271
F = 927.1 lb
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
(–4, 2)
(–1, 4)
(1, 3)
(2, –3)
Answer:
C 1/3
Step-by-step explanation:
got it right on edge :)
How do you create and use a table to solve problems?
Answer: Organizes Data
Step-by-step explanation:
A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs
Here are four fractions.
A.
B. § c.
10
Look at the number line below.
Write the letter for each fraction in the correct box.
0.5
Hey! I am not stealing points, but pls complete your question. Which number line are you asking about? Where is the number line image?
Also, where is the option A?
Pls complete your question.
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer
C
Step-by-step explanation:
PRIMERO ENCUENTRAS x
y = 6x - 5
y = x + 5 (-1)
5x + 10
x = 10/5 = 2
ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES
ORIGINALES.
y = 62) - 5 = 7
The vertex form of the equation of a parabola is y= 2(x + 4)2- 21.
What is the standard form of the equation?
O A. y = 2x2 + 12x+17
O B. y = 4x2 + 4x + 9
O c. x = 2y2 + 5y + 17
O D. y = 2x2 + 16x+11
Answer:
D. y = 2x2 + 16x+11
Step-by-step explanation:
this is the correct answer, the person above me is incorrect!!
ap ex :)
The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.
Expand the equation, we have
y = 2(x + 4)² – 21
y = 2(x² + 16 + 8x) – 21
y = 2x² + 32 + 16x – 21
y = 2x² + 16x 11
Then the correct option is D.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ2
What is the measurement of angle 2 ?
A.140˚
B.40˚
C.50˚
D.220˚
Answer:
im pretty sure 140 because if you take away the seperating line between the given angle and 3 its 180 which if you would do the same to the other side it would be identical. So Try 140
Step-by-step explanation:
It is Option A 140° as the opposite angles are of equal measures in intersecting lines.
each of the letters in the word SNOWFLAKE are on seperate cards face down on the table. If you pick a card at random, what is the probaility that the letter on it will fall within the range of "L" and "T" in the alphabet?
Answer:
1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
Find the 8th term of the geometric sequence 3, -12, 48, ...
Answer:
a(8) = -49152
Step-by-step explanation:
Step 1: Find r
-12/3 = 4
Step 2: Write geometric explicit formula
[tex]a_{n} = 3(4)^{n-1}[/tex]
Step 3: Plug in 8th term for n
[tex]a_{8} = 3(4)^{7}[/tex]
a(8) = -49152
Alternatively you can find r then multiply 3 by -4 8 times.
Which pair of points have equal x-coordinates
x intercept f(x)=(x+4)^2
Answer:
-4Step-by-step explanation:
Given the function f(x)=(x+4)², the x intercept occurs at f(x) = 0, substituting f(x) = 0 into the given equation to get the value of x we have;
[tex]0 = (x+4)^{2} \\[/tex]
Taking the square root of both sides
[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]
Subtracting 4 from both sides of the equation
[tex]x+4-4 = 0-4\\x = -4[/tex]
Therefore the x intercept of the equation is -4