Given:
A figure of a right triangle with legs x and 6.
The measure of angle opposite to the side x is 37 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 37^\circ =\dfrac{x}{6}[/tex]
[tex]6\times \tan 37^\circ =x[/tex]
[tex]6\times (0.753554) =x[/tex]
[tex]4.521324 =x[/tex]
Round the value to the nearest tenth.
[tex]x=4.5[/tex]
Therefore, the value of x is 4.5 units.
you bet your friend $5 that you could say the alphabet backwards. You lost. so you bet your friend double or nothing. Assume this continues forever. Write the equation for your balance over time
Answer:
zyxttfhtyhrgdkouk.
Step-by-step explanation:
Find the area of right triangle ABC.
Answer:
16 sq. unit
Step-by-step explanation:
Area = ½ × base × height
= ½ × 8 × 4
= 16 sq unit
What is 1 3/7 divided by 3 3/14 as a simplified fraction
the answer would be 4 9/14
4 9/14
Answer:
4 9/14
Step-by-step explanation:
Can you explain how to solve this
scientific Notation helpppppp ;-;
Answer:
7
Step-by-step explanation:
[tex]2.8 \times {10}^{5} = 2.8 \times 100000 = 280000 \\ 4 \times {10}^{4} = 4 \times 10000 = 40000 \\ 280000 \div 40000 = 7[/tex]
Use the following trinomial to answer the questions. x^2-6x-27 When going through the process of determining the factors, the two factors need to : add up to ___ multiply to ___
Answer:
The factors are 3 and -9
Step-by-step explanation:
The given trinomial is [tex]x^2-6x-27[/tex].
We need to find two factors. We know that,
3(9) = 27
So,
[tex]x^2-6x-27[/tex] can be written as :
[tex]x^2+3x-9x-27[/tex] as two factors add up to get -6 and multiply to get -27.
Hence, the factors are 3 and -9.
SHOW YOUR WORK!!!!
At a pizza shop, customers can select either crispy crust (C) or deep crust (D). Suppose that two customers place an order and select their crust. What is the sample space for this action?
Answer:
A pizza shop offers 3 different toppings and 2 types of crust. How many possible types of pizza can you order if each pizza can have one, two, or three different toppings?
Step-by-step explanation:
Answer:
There are 2 outcomes they could've each chosen c or d or one chose c one chose d or the opposite way around
Step-by-step explanation:
Solve for y. -7y+3=-25
Answer:
-7y+3=-25
Step-by-step explanation:
collect like terms together
-7y=-25-3
-7y=-28
cancel the negative
7y=28
simplify
y=4
if using the method of completing the square to solve the quadratic equation x^2-20x+24=0x
2
−20x+24=0, which number would have to be added to "complete the square"?
Considering the equation of the parabola in vertex form, it is found that a number of -100 would have to be added to complete the square.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
In this problem, the equation is:
[tex]x^2 - 20x + 24[/tex]
Placing it in vertex form, we would have:
[tex](x - 10)^2 + 24 + c[/tex]
Applying the square of the subtraction:
[tex](x - 10)^2 = x^2 - 20x + 100[/tex]
Hence, a number of -100 would have to be added to complete the square.
More can be learned about equation of a parabola in vertex form at https://brainly.com/question/17987697
In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted? (1 point)
Group of answer choices
Down 5, left pi over 2
Up 5, left pi over 2
Up 5, right pi over 2
Down 5, right pi over 2
Answer:
The first option:
Down 5, left pi/2.
Step-by-step explanation:
Let's define the translations in a general way.
Horizontal shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
if N is positive, the shift is to the left.
if N is negative, the shift is to the right.
Vertical shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is upwards.
If N is negative, the shift is downwards.
In this case, we have the function:
f(x) = 6*Sin(2*x + π) - 5
Where the original function was something like:
h(x) = 6*sin(2*x)
Here we can already see the vertical shift is of minus 5 units, so the shift is 5 units down.
then we get:
f(x) = h(x) - 5 = 6*sin(2*x) - 5
Now we can apply a shift to the left of π/2 units, so we get:
f(x) = h( x + π/2) - 5 = 6*sin(2*(x +π/2) ) - 5
f(x) = 6*sin(2*x +π ) - 5
Then the correct option is:
Down 5, left pi over 2
A linear function that represents the number of hot dogs purchased at a football game is compared to a different linear function that represents the time left in the game. Describe the key features of the functions that are needed to determine if these lines intersect.
The key features needed are the slopes and y-intercepts. If the slope and the y-intercept are the same then there are infinite amounts of intersections. If the slope is the same and the y-intercept is different then they will never intercept. Of the slope and the y-intercept are different, then they will intersect at one point.
Select the equation represented by the graph.
if you answer all ill give brainliest.
1. −8 ≤ −1; Add 9 to both sides
2.1 2 > −5; Subtract 12 from both sides.
3. n − 6 ≥ −5
4. -4y ≤ 12
5. − q/5 ≥ −1
6. 3 > z − 1
Answer:
1. 1 < 8
2. 7 > -17
3. n-6 (N could be 7)
4. -4 x 3= -12
5. -5/5= -1 since the sign means greater than or equal to, that could be right.)
6. 3>Z (1) - 1
Consider the quantic (power of five) function p(x) = 4x5 + 32x2
.
a) Fully factor the polynomial.
b) Use the factored form that your obtained from part a) to sketch the graph of y = p(x).
Label two points on the graph.
10. From the quantic function in question 9, if Lisa took the graph of y = p(x) and applied the
following transformations to produce the new function g(x). (4 marks)
Step 1: Vertical stretch by a factor 2.
Step 2: Vertical translation one unit up.
How may zero(s) does new function g(x) have? Sketch a possible graph and explain your
reasoning
Answer:
uu<uuuu<uuuu<uuuuuuuu
The radius of a circle is doubled. Which of the following describes the effect of this change on the area? PLZZZ HELP!!! THE RED IS THE QUESTION I GOT WRONG
Answer:
The area is multiplied by 4
Step-by-step explanation:
The area of a circle is directly proportional to its square radius so if the radius is increased by x, the area will be increased by x ^ 2
Answer:
The area is multiplied by 4.
Step-by-step explanation:
The point K lies on the segment JL.
Find the coordinates of K so that the ratio of JK to KL is 5 to 2.
J (-7,2)
K( ?,?)
L(28,-12)
If x=9 units, y= 3 units and h= 8 units find the area of the rhombus shown about using decomposition
Answer:
72 sq. units
Step-by-step explanation:
Find the diagram attached
The rhombus is the area of the two triangles and the rectangle
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * y * h
Area of triangle = 1/2 * 3 * 8
Area of triangle = 3 * 4
Area of triangle = 12 sq.units
Area of 2 triangle = 2(12) = 24 sq. units
Area of the rectangle = length * width]
Area of the rectangle = h (x-y)
Area of the rectangle = 8(9-3)
Area of the rectangle = 8 * 6
Area of the rectangle = 48 sq. units
Area of the rhombus = 24 + 48
Area of the rhombus = 72 sq. units
y=x+12
y=-18
jhbnm
hfgklhkhvhgnkgvnbmn
Answer:
x=-30
Step-by-step explanation:
................
Determine the length of GH. Round to the nearest tenth.
3.9 cm
G
52
642
H
Answer:
|GH| = 5,7 cm
Step-by-step explanation:
To know |GH|, you first need to find the length of |GD|.
We can calculate |GD| by;
cosG = |GC| / |GD|
<=> |GD| = |GC| / cosG
=> |GD| = 3,9 cm/ 0,62 = 6,33 cm
We now can easily calculate |GH| with the sinus of angle D;
sinD = |GH| / |GD|
<=> |GH| = sinD.|GD|
=> |GH| = 0,899.6,33 cm = 5,694 cm => 5,7 cm
I hope i did not make a mistake ...
Can anyone help with this? I don't get what their asking
Answer:
7b(4b+4c)-3c(4b+4c)
28b²+28bc-12bc-13c²
hope this helps
sorry dunno the other
Suppose two triangles are similar and one pair of sides of the triangles are congruent. Are the triangles necessarily congruent? Explain your reasoning.
Answer:
Yes. For the triangles to be similar, all of the sides have to be proportionate to its corresponding side. If the ratio of one of the pairs sides of the triangles is 1:1, then all of the pairs of sides on the triangles have to also have a ratio of 1:1. Using this, according to SSS postulate, the two triangles are similar. With the given information, either both triangles are congruent, or they are not similar.
Step-by-step explanation:
2. What are the current values and appreciation rates of the two coins you selected?
Step-by-step explanation:
You should pick the coin that is cheap but one that also has a high inflation value. You should graph out the rate of increase per year to see if the coins are worthy of investing upon
What calculation is modeled on the number line?
Answer:
top right
Step-by-step explanation:count how mnay it goes back each time
Answer:
Top right box
Step-by-step explanation:
18x-12=
24x+48=
45x_81=
8x+15=
Answer:
1) 6(3x-2)
2) 24(x+2)
3) 9(5x−9) or 9(5x+9) if you meant to put addition.
4)8x+15
number 2 pls, asap! i need this for practice for finals
Answer:
C. a = 6
Step-by-step explanation:
Use the Pythagorean theorem
[tex]a^{2} + 8^{2} = 10^{2}[/tex]
[tex]a^{2}[/tex] + 64 = 100
[tex]a^{2}[/tex] = 36
a = 6
Please help! my friend needs help with his grade 11 math homework! Thank you
Answer:
a) the first negative number will be -1
b) A, B and C
c) 0.3
Step-by-step explanation:
c) Convert the following from standard notation to scientific notation.
Depth of the deepest part of the ocean: 10,900 meters
Answer:
1.09x10^4
Step-by-step explanation:
What is the y-intercept in y=4(2)*
Answer:
0
Step-by-step explanation:
Its prob 0 just because it does not show one, meaning that there is an invisible 0 in the y-intercept spot
OMG I NEEP HELP I DONT KNOW WHAT 2+2 IS HELP ME PLSSSSSS
Answer:
4 UNLESS IM WRONG MAYBE ITS 21
Answer:
omgg i dont knowww
lets see if we take the square root of two then multiply it by five: its roughly 7.071
then after that we take the extra 0.071 and throw it in the trash
we next take 1+1+1 and subtract it from the extra seven we have left over
we end up with four.
maybe of course, this is an approximation
For what value(s) of x is the equation not true?
Answer:
The equation is not true at x = -7.
Step-by-step explanation:
At x = -7 we'd have division by zero, which is not defined (not allowed).