Answer:
x ≈ 14.3 cm
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector, that is
It divides the isosceles triangle into 2 right triangles, with base [tex]\frac{1}{2}[/tex] x
Using the tangent ratio on the left, right triangle, then
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{\frac{1}{2}x }[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )
x × tan35° = 10 ( divide both sides by tan35° )
x = [tex]\frac{10}{tan35}[/tex] ≈ 14.3 cm ( to 1 dec. place )
Which angle pairs are supplementary
Answer:
the second, third, and last
What is the value of b? Round you answer to the nearest tenth
Answer:
23.01 = b
Step-by-step explanation:
Solve this using the Law of Cosines first: Find side length b.
b^2 = 22^2 + 28^2 - 2(22)(28)*cos 34 deg, or:
b^2 = 484 + 784 - 2(616)(0.593), or
= 1260 -730.576 = 529.424
Taking the square root of both sides, we get:
b = +√529.424 = 23.01 = b
Will mark as brainliest if correct
Answer:
Step-by-step explanation: 2 x2 =4
i am guessing it means 2 to the power of 2
Answer:
[tex]2\log _{10}\left(z\right)=4 : z=100[/tex]
Step-by-step explanation:
[tex]2\log _{10}\left(z\right)=4[/tex]
Divide both sides by 2:
[tex]\frac{2\log _{10}\left(z\right)}{2} =\frac{4}{2}[/tex]
Simplify:
[tex]\log _{10}\left(z\right)=2[/tex]
Use the logarithmic definition: If [tex]\log _{a}\left(b\right)=c[/tex] then [tex]b=a^c[/tex]
[tex]\log _{10}\left(z\right)=2 \Rightarrow \:z=10^2[/tex]
[tex]z = 10^2[/tex]
Simplify:
[tex]z =100[/tex]
Final answer:
[tex]z=100[/tex]
Hope I helped, if so may I get brainliest and a thanks?
Thank you, have a good day! =)
What is the first step in solving a quadratic equation of the form given below?
(ax + b)^2 = 0
A. Take the square root of both sides
B. Factor out a common factor
C. Divide both sides by c
D. Use the zero product rule
Answer:
A.
Step-by-step explanation:
Expand if necessary,combine like terms (x+2) (x+2)
Answer: x^2 + 4x + 4
Step-by-step explanation:
Answer:
x^2 + 4x + 4
Step-by-step explanation:
We can do this first
(x + 2)^2
Then we can use our knowledge and do
x^2 +4.
We have to multiple the two by two and then x because that is a rule in
(a + b) ^2
=
a^2 + b^2 + 2ba
So we end up with x^2 + 4x +4
What is the nth term to this sequence 18,16,14,12
What is the nth term to this sequence 18,16,14,12 ?
Answer: 4
Explanation:
1. 18
2. 16
3. 14
4. 14
5. 12
6. 10
7. 8
8. 6
9. 4
Answer:
Hey!
The nth term for your sequence is -2!
Step-by-step explanation:
18 - 2 = 16
16 - 2 =14
And so on! (the nth term of a sequence is basically the differences between the different terms!)
HOPE THIS HELPS!!
Ling walks 3/8 of the distance home from school in 9 minutes. She wants to know how long it will take her to walk the entire distance at the same speed. Ling uses the expressions 9 divided by 3/8 and 9 times 3/8 to find the answer. Explain what is wrong with Ling's expression and then write the correct solution.
entre 3/8 y 9 veces 3/8S
tep-by-step explanation:
Which of the following is(are) the solution(s) to 15x +21= 8?
Answer:
15x+21=8
subtract 21 from both sides
15x+21-21=8-21
simplify
15x=-13
divide both sides by 15
15x=-13
15 15
x=-13/15
Step-by-step explanation:
Henry is diving off a diving board that is 7 above the water. After 2 seconds, he reaches his maximum
height of 9 above the water. What height will Henry be after 5 seconds?
(please post the solution as well)
Answer:
44 m
Step-by-step explanation:
I'll assume the 5 seconds is from the time he jumped off the board.
This means we are to calculate his height 3 seconds after dropping from the height of 9 m, since he spent 2 seconds springing up off the board from a height of 7 m to the 9 m height.
we use Newton's equation of motion.
We are given
initial velocity U at the height of 9 m = 0 m/s
acceleration due to gravity downwards g = 9.81 [tex]m/s^{2}[/tex]
distance covered S = ?
time of fall t = 3 seconds
we use S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
S = (0 x 3) + [tex]\frac{1}{2}[/tex](9.81 x [tex]3^{2}[/tex])
S = 0 + 44.145
S = 44 m
Can anybody help me solve this? You must solve for X first.
(Click in picture for full image)
Answer:
45 degrees
Step-by-step explanation:
angle QRS is same as (2x + 3) because it is an isosceles triangle
so, 90 + (2x+3) + (2x+3) =180 degrees
2x+3 +2x+3=180-90
2x+2x +3+3=90
4x+6=90
4x=90-6
4x=84
x=84/4
x=21
substitute x=21 in (2x+3)
2*21+3=45
Create your own equation
Answer:
45+20=65
21+33=54
90+10=100
100+30= 130
Step-by-step explanation:
45+20=65
Doesn't belong as it has an odd numbered answer where as all the others have even answers
HOPE THIS HELPS
What type of number is -16.2i
Answer:
Complex and imaginary number
Step-by-step explanation:
First, let's write the number[tex]-16.2i[/tex] in the form of [tex]a+bi[/tex].
[tex]0+ (-17)i[/tex]
Since [tex]-16.2i[/tex] can be written in the form of [tex]a + bi[/tex], where [tex]a[/tex] and [tex]b[/tex] are real numbers, it is a complex number.
Also, since [tex]a=0[/tex], it is also an imaginary number.
[tex]-16.2i[/tex] is complex and imaginary.
x - x equals ?............
Answer:
0
Step-by-step explanation:
if x stade for any number like 5 then it will be 5-5=0
hope this helps you out need more help ask me
The graph of f(x) is given on the right. Which roots of f(x) have an odd multiplicity? -1 1 3
Answer:
-1
3
Step-by-step explanation:
Answer:
1. -1, 3
2. 4 could be a multiplicity of the root at x = 1.
There are 36 students in a class. If 4/9 of the
students are girls, how many girls are in the class?
Answer:
16
Step-by-step explanation:
All you have to do 4/9 of 36 which is 16.
Hope this helps!!
Let x be a positive integer. If (-3)ºx (-3)* = (-3)14,
what is x?
Answer:
[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}[/tex]
Decimal Form:
[tex]x = -267.38030...[/tex]
Step-by-step explanation:
[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14[/tex]
Remove Parentheses: [tex](-a) = -a[/tex]
[tex]-3^{\circ \:}x\left(-3\right)=-3\cdot \:14[/tex]
Multiply the numbers: [tex]3 * 14 = 42[/tex]
[tex]-3^{\circ \:}x\left(-3\right)=-42[/tex]
Divide both sides by: [tex]-3^{\circ \:}\left(-3\right)[/tex]
[tex]\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}[/tex]
Simplify:
[tex]x=-\frac{840}{180^{\circ \:}}[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Suppose x varies inversely with y and y varies inversely with z. How does x vary with z? Justify your answer algebraically
Answer:
x varies inversly inversly with z,
so it Maries linearly.
x to y and then to a can be expressed as
x = m/y
y = n/z
so we can say
x = m/(n/z) = m/n * z
m & n could be any constant numbers, like 5 or 3.7
Here is an example where both are just one:
x = 1/y
y = 1/z
so we can say
x = 1/(1/z) = 1/1 * z
(would really, really appreciate the brainliest)
A Lua reflete parte da luz solar que nela incide. Admite que: a luz refletida pela Lua demora 1,28 segundos a chegar à Terra; entre a Lua e a Terra, a luz percorre 300 000 000 de metros em cada segundo; o trajeto da luz é retilíneo. Determina a distância da Lua à Terra. Apresenta o resultado em metros, escrito em notação científica. Mostra como chegaste à tua resposta.
Answer:
3.84 * 10^8 meters
Step-by-step explanation:
As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:
Distance = speed * time
So we have that:
Distance = 300,000,000 * 1.28 = 384,000,000 meters
In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:
Distance = 3.84 * 10^8 meters
Find the total surface area of this prism where the cross-section is an isosceles triangle.
Answer:
620 cm2
Step-by-step explanation:
The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:
B = 24 * 10 = 240 cm2
The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:
C = 24 * 5 / 2 = 60 cm2
The sides are rectangles with 10 cm x 13 cm, so their area is:
D = 10 * 13 = 130 cm2
The total surface area is:
S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2
Given find M for MON
Answer:
∠ MON = 15°
Step-by-step explanation:
∠ LOM + ∠ MON = ∠ LON, substitute values
9x + 44 + 6x + 3 = 77, that is
15x + 47 = 77 ( subtract 47 from both sides )
15x = 30 ( divide both sides by 15 )
x = 2
Thus
∠ MON = 6x + 3 = 6(2) + 3 = 12 + 3 = 15°
Compare the algebraically expressed function f(x) = 3x2 + 6x + 7 to the function shown in the graph to determine which statement is true.
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the complete factorization of x2 + 2x − 63? A. (x + 21)(x − 3) B. (x − 9)(x + 7) C. (x + 9)(x − 7) D. (x − 21)(x + 3)
Answer:
(x + 9)(x - 7)
Step-by-step explanation:
We want to factorize [tex]x^2 + 2x - 63[/tex]
We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:
[tex]x^2 + 9x - 7x - 63\\\\= x(x + 9) -7(x +9)\\\\ = (x +9)(x -7)[/tex]
The complete factorization is (x + 9)(x - 7)
The factored form of the expression x² + 2x - 63 is (x + 9)(x - 7).
What is the factored form of the expression?Given the expression in the question:
x² + 2x - 63
To determine the complete factorization of the quadratic expression x² + 2x - 63, we aim to break it down into its simplest factors.
This is achieved through factoring, a process of identifying the expressions that, when multiplied, result in the original quadratic expression.
x² + 2x - 63
Now, find a pair of integers whose sum equals 2,
and whose product equals -63.
We use integers 9 and -7.
Next, rewrite the quadratic expression using these factors:
(x + 9)(x - 7)
Therefore, the complete factorization of x² + 2x - 63 is (x + 9)(x - 7).
Option C) (x + 9)(x - 7) is the correct answer.
Learn more about factorization here: brainly.com/question/20293447
#SPJ6
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 32.
What is the age of the person who entered the room?
Answer:
52 years
Step-by-step explanation:
Since the mean age of 5 people in that room is 28 years,
∴ Sum₍₅₎= (28×5) years
= 140 years
Then, one person enters the room which makes the mean age 32 years.
∴Sum₍₆₎= (32×6)years
= 192 years
∴The age of the person who enters the room= (192 - 140) years
= 52 years
A restless point moved from point −1 to the left at the speed of 5 units per minute. Where will it be in 10 minutes?
Answer:
The answer is "-51"
Step-by-step explanation:
[tex]\ distance = 5 \frac{unit}{minute}[/tex]
[tex]\ moved \ point = \ time \times \ distance\\\\[/tex]
[tex]=10 \times 5 \\\\ = 50[/tex]
In this 50 unit left in point. So, total points which is left are:
[tex]\ moved \ point = point + \ calculated \ point (\ moved\ point)[/tex]
[tex]= -1 + -50\\\\=-51[/tex]
6.The base of an isosceles triangle is 6 cm and its perimeter is 16 cm. Length of each of the equal sides is
Answer:
erm
Step-by-step explanation:
The sides will be:
6cm
6cm
4cm
Answer:
In isosceles triangle two sides are equal . Let the length be x .hence perimeter can be given as x + x + 6 . Therefore 2x + 6 = 16 . And 2x = 10 .and hence x =5 . So the length of each side is 5 cm
Step-by-step explanation:
Paul has 27 pet cats. 14 of them are short-haired. 11 of them are kittens. 5 of them are long haired adult cats. How many of them are short haired kittens?
Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 dollars because of expenses. In the first hour of the fundraiser they collect equal donations from 9 family members, which brings their balance to -44 dollars. How much did each parent give?
Answer:
Each family member gave $4
Step-by-step explanation:
(-44 - (-80))/9
36/9
4
Label each point on the number line with the correct value. Click each dot on the image to select an answer. Choices
Answer:
You might need to repost or edit this question - there are no choices or picture.
Answer:
There are no choices.
Step-by-step explanation:
What is the value of the following expression if x = 22: "five times a number x,
decreased by 2"?
Answer:
108
Step-by-step explanation:
"five times a number x, decreased by 2" can be expressed as: 5x - 2
Now,
5x - 2 = 5*22 - 2 = 110 - 2 = 108
15 POINTS + BRAINLIEST
true or false box plot questions
Answer:
b is false, idk about a the median is the middle line its 70 in this case
Answer:
a. true
b. false
Step-by-step explanation:
a. 2 parts of diagram are 50% and that's 62 - 70
b. median height is 70 in