Answer:
x = 20
Step-by-step explanation:
90 = 60 + (x + 10)
90 - 60 = x + 10
30 = x + 10
30 - 10 = x
20 = x
Answer:
x = 20
Step-by-step explanation:
From the diagram we see that ∠60° and ∠(x + 10)° are supplementary, therefore we know that the following is true...
60° + (x + 10)° = 90°
Now we just solve the equation and get the following...
60° + (x + 10)° = 90°
x° + 10° = 30°
x° = 20°
x = 20
Thực hiện phép nhân, rút gọn rồi tính giá trị của biểu thức :
a) x(x - y) + y(x + y)
tại x = -6 và y = 8;
b) x(x - y) = x^(x + y) + yx2 – x) tại x =
1
và y = -100,
2
Answer:
i do not understand what youre asking
Step-by-step explanation:
see^^^^^
PLEASE HELPPPPPP FINDING CIRCUMFERENCE AND AREA OF A CIRCLE
Answer:
The circumference of the circle is 28.26 m.
The area of the circle is 63.585 [tex]m^{2}[/tex].
Step-by-step explanation:
To solve for the circumference of the circle, start by using the circumference formula of a circle, which is [tex]C= 2\pi r[/tex]. However, 3.14 will be used instead of [tex](\pi)[/tex] for this formula.
First, the radius of the circle needs to be found. To find the radius of the circle, divide the diameter by 2 because the radius equals half of the diameter. The radius is 9 m divided by 2, which equals 4.5 m.
Next, plug in the radius into the formula, and the formula will look like [tex]C=(2)(\pi )(4.5 m)[/tex]. Then, solve the equation, and the answer will be 28.26 m.
To solve for the area of the circle, start by using the area formula of a circle, which is [tex]A=\pi r^{2}[/tex]. However, 3.14 will be used instead of [tex](\pi)[/tex] for this formula.
For the area, plug the radius into the formula, and the formula will look like [tex]A= (3.14)(4.5m)^{2}[/tex]. Then, solve the equation, and the answer will be 63.585 [tex]m^{2}[/tex].
Pls I need help with this
Answer:
the missing side is 6
Step-by-step explanation:
Using the Pythagorean theorem, ([tex]a^{2} + b^{2} = c^{2}[/tex]), for right triangles, you get [tex]4^{2} + (2\sqrt{5}) ^{2} = c^{2}[/tex]. Since the square cancels the square root for side b you get [tex](2^{2})*(5)[/tex] which equals 20. This makes your equation go to 16+20 = [tex]c^{2}[/tex]. Then add the numbers to make [tex]36=c^{2}[/tex] solve for c by taking the square root of both sides to get c = 6.
If XYZ congruent to DEF the what corresponding angle is congruent to angle x (enter your answer using the angle letter only)
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
XYZ is congruent to DEF so:
X = D
Y = E
Z = F
How do you solve for x in this using trignometric ratios
Answer:
[tex]x= 23.775.[/tex]
Step-by-step explanation:
[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]
CAN SOMEONE HELP ME I HAVE LIKE LESS THAN 15 MINUTES TO FINISH
Experimental probability of the name Alex being drawn is 4/10
This is because out of the ten times a name was drawn, Alex was drawn four times.
If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.
This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.
SOMEONE, PLEASE HELP!!!!!!!!
Answer:
Step-by-step explanation:
i think it is b
!!PLEASE HELP 25 POINTS!! The graph of an absolute Value
Answer:
(-1, 8)
the value of a is 8
How will you calculate it's surface area?
The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.
NO LINK PLEASE. OR I WILL REPORT YOU.
Answer:
x = 80
Step-by-step explanation:
Both angles together form 180, therefore x is 80
Answer:
x = 80
Step-by-step explanation:
100 and x form a straight line so they add to 180
x+100 =180
Subtract 100 from each side
x = 180-100
x = 80
Expand. If necessary, combine like terms. (x+3)(x-3)=
Answer:
[tex] {x}^{2} - 9[/tex]
Step-by-step explanation:
[tex](x−3)(x+3)[/tex]
[tex]x(x+3)−3(x+3)[/tex]
[tex]x \times x+x \times 3−3x−3 \times 3[/tex]
[tex]x \times x−3 \times 3[/tex]
[tex] {x}^{2} - 9[/tex]
Hope it is helpful....Find csc 0, sin 0, and cot 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
PLZ HELP I BEEN STUCK FOR AN HOUR I WILL MARK BRAINLIEST!!!
Answers:
[tex]\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
=============================================
Explanation:
Before we can find the trig ratios, we need to determine the length of the missing side. Apply the pythagorean theorem
[tex]a^2+b^2 = c^2\\\\4^2+b^2 = 7^2\\\\16+b^2 = 49\\\\b^2 = 49-16\\\\b^2 = 33\\\\b = \sqrt{33}[/tex]
The vertical side is [tex]\sqrt{33}[/tex] units long.
------------------------------------
The side we just found is the opposite side to angle [tex]\theta[/tex] (greek letter theta)
The hypotenuse is 7 units long. The hypotenuse is always opposite the right angle.
Divide the hypotenuse over opposite to get the cosecant.
[tex]\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{7}{\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33*33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33^2}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\[/tex]
Note: In the third step, I multiplied top and bottom by sqrt(33) to rationalize the denominator.
------------------------------------
Recall that sine is the reciprocal of cosecant, and vice versa.
So we'll use the same idea as before, but flip the original fraction.
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\[/tex]
The denominator is already a rational number, so there's not much else to do here.
--------------------------------------
Cotangent is the ratio of adjacent over opposite
[tex]\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{4}{\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33*33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33^2}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
The steps are pretty much nearly identical as the section involving csc, except we're using the adjacent in place of the hypotenuse (so that means we use 4 in place of 7).
Without graphing, what can you say about the points (2.5, 1) and (6, 1) on the coordinate plane?
Answer:
hope this helps
Step-by-step explanation:
-they do not have the same slope
-their lines are not parallel
there's probably more but i cant quite think of it as of now
I don’t know what to do?
Answer:
I geuss because the scale factor is 2 that the resulting triangle will be almost twice the size. Because in a dilation you multiply it. If you dont know how to dilate a triangle with a compass I would suggest looking for a video online. But I know for the part that says "Is the image of ABC similar to the original triangle" the answer would be yes it is similar because you are just dilating the triangle not changing its orientation. I hope this helps! Good luck!
The diagram shows a door lock.
B
2
3
4
The code is a letter followed by a number.
Write down all the possible codes,
write your answers like this: (A, 1)
You must write all of your answers on one line.
The increases (in cents) in cigarette taxes for 6 states in a 11-month period are 70,12,42,45,50,51,60,69,8,40,18
Answer:
The range is 62
Step-by-step explanation:
Given
[tex]x:70,12,42,45,50,51,60,69,8,40,18[/tex]
Required
The range
This is calculated as:
[tex]Range = Highest - Least[/tex]
From the given data
[tex]Highest = 70[/tex]
[tex]Least=8[/tex]
So:
[tex]Range = Highest - Least[/tex]
[tex]Range = 70-8[/tex]
[tex]Range = 62[/tex]
A jeweler had a fixed amount of gold to make bracelets and necklaces. The
amount of gold in each bracelet is 6 grams and the amount of gold in each
necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more
necklaces than bracelets. Write a system of equations that could be used to
determine the number of bracelets made and the number of necklaces made.
Define the variables that you use to write the system.
Answer:
6b+16n=178
n=b+7
Step-by-step explanation:
Let b=the number of bracelets made
Let n=the number of necklaces made
System of Equations:
6b+16n=178
n=b+7
Which graph represents y-1 = 2(x - 2)?
Answer:
I only see 1 graph...
hksjfjf
2(5x + 3) + 2 = 10x + 6
A-one solution
B-infinitely many solutions
c-no solution
Answer:
C
Step-by-step explanation:
Given
2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side
10x + 6 + 2 = 10x + 6
10x + 8 = 10x + 6 ( subtract 6 from both sides )
10x + 2 = 10x ( subtract 10x from both sides )
2 = 0 ← not possible
This indicates the equation has no solution
Answer:
no solutions
Step-by-step explanation:
2(5x + 3) + 2 = 10x + 6
* solve for x *
step 1 distribute the 2 to 5x and 3
2 * 5x = 10x
2*3=6
we now have 10x + 6 + 2 = 10x + 6
step 2 combine like terms
6 + 2 = 8
we now have 10x + 8 = 10x + 6
step 3 subtract 10x from each side
10x-10x=0
10x-10x=0
we're left with 8 = 6
8 is not equal to 6 meaning that there are no solutions to the equation
PLEASE HELP ME! this is due TONIGHT!! thank you so much
explaining your answer = brainliest/ five stars
the area of the parallelogram is ___ square feet
Answer:
Step-by-step explanation:
here,
base=28 ft
height=24 ft
are of parallelogram=base*height
=28*24
=672 ft^2
Answer:
672 ft²
Step-by-step explanation:
Area of parallelogram is the same as the area of a rectangle.
28 × 24 = 672 ft²
12.
Find the value of x. If necessary, round to the nearest tenth.
A. 7.0 in.
B. 9.9 in.
C. 14.0 in.
D. 11.9 in.
Answer:
9.9 inches
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the length of the height
49 = 1/2 x*x
Multiply each side by 2
2*49 = x^2
98 = x^2
Take the square root of each side
sqrt(98) = sqrt(x^2)
9.899494937 =x
Rounding to the nearest tenth
9.9 =x
what is 4.3347x10^4 in standard form?
Answer:
43347
Step-by-step explanation:
just move decimal to the right 4 times.
Solve for X.
please help
Answer:
x = 10
Step-by-step explanation:
We can use ratios to solve
Side over bottom
5 5+3
---- = --------
x 16
Using cross products
5 * 16 = (5+3)*x
80 = 8x
Divide by 8
10 = x
x = 10. This is a dilation. To find x, you must first find what you are dilating and by how much. 8 is the starting value, and 5 is the newer value. 5 divided by 8 is .625. Then multiply.625 by 16, to get 10, or x
What is the product?
Answer:
-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³
Step-by-step explanation:
( - 6a³b + 2ab²)( 5a² - 2ab² b)
multiply the second parantheses by each term from the first parantheses.
-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)
-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)
-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab
combine like terms
-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³
ctividad 1:
Las edades de un grupo de niños son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Determina las Medidas de Centralización (Media, Mediana y Moda) y las medidas de Dispersión (Desviación media y Desviación estándar).
necesito ayuda
Respuesta:
Media = 6
Mediana = 6
Modo = 6
Desviación media = 1
Desviación estándar = 1.317
Explicación paso a paso:
Dados los datos:
5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8
La media: Σx / n = 96/16 = 6
El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)
La mediana = 1/2 (n + 1) ésimo término
Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6
La desviación media = Σ (x - media) / n
Usando la calculadora, la desviación media = 1
La desviación estándar = √ (Σ (x - media) ² / n-1)
Desviación estándar = 1.317
Given that cos(θ)= -√3/4 and tan(θ) > 0, find sin(θ)
Answer:
B. -√13/4
Step-by-step explanation:
cos 0 = -√3/4 => x=-√3 , h=4
tan 0 > 0
y should be on quadrant III
y= √4²-3= √16-3=√13 => -√13
so, sin 0 = y/h = -√13/4
Answer:
B. -√13/4
Step-by-step explanation:
:)
The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96
Answer:
(c) 84
hope this helps!!!!
pls tell plssssssssssssssssssssssssssss
:(
Answer:
x = 6 and y = 0
Step-by-step explanation:
x + 2y = 6
x = 6 - 2y equation(i)
substitute the value of x
x + 2y = 6
6 - 2y - 2y = 6
-4y = 6 - 6
y = 0/-4
y = 0
substitute the value of x in equation (i)
x = 6 - 2y
x = 6 - 2*0
x = 6-0
x = 6
Tanya has 130 ml of juice
Answer:
The answer is below
Step-by-step explanation:
A drink is made by adding water to juice.
Instructions
Add an amount of water that is between 3 times and 5 times the amount of juice
Tanya has 130 ml of juice.
If she follows the instructions, work out the minimum and maximum amounts
of the drink she can make.
Solution:
The minimum amount of water that can be added to the juice is 3 times the amount of the juice, hence:
Minimum amount of water = 3 * 130 ml of juice = 390 ml of water
Therefore minimum amount of drink = 390 ml of water + 130 ml of juice
minimum amount of drink = 520 ml
The maximum amount of water that can be added to the juice is 5 times the amount of the juice, hence:
Maximum amount of water = 5 * 130 ml of juice = 650 ml of water
Therefore maximum amount of drink = 650 ml of water + 130 ml of juice
Maximum amount of drink = 780 ml
54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They
bought their supplies from the same store. Ashley spent $43 on 2 daylilies and 3 bunches of
ornamental grass. Nicole spent $87 on 6 daylilies and 3 bunches of ornamental grass. Find the
cost of one daylily and the cost of one bunch of ornamental grass.
dalilar.
Answer:
Daylilies- $11, Ornamental grass- $7
Step-by-step explanation:
For this one, you want to convert this into simultaneous equations.
If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.
From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.
Dividing both sides by 4 isolates d, leaving d=$11.
We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.
From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.
**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!
All working out:
d- cost of one daylily o- cost of one bunch of ornamental grass
2d+3o=43 6d+3o=87
6d+3o=87
- - -
2d+3o=43
= = =
4d =44
÷4 ÷4
d =11
2d+3o=43
2×11+3o=43
22+3o=43
3o=21
o=7