Answer:
[tex]\boxed{x=73.74}[/tex]
[tex]\boxed{y=16.26}[/tex]
[tex]\boxed{z=25}[/tex]
Step-by-step explanation:
Hello there!
Algebra 1
The first thing we should find is the missing angle
Because this is a right triangle we can solve it using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
the formula... [tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given two legs so we plug in a and b and solve for c
[tex]7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25[/tex]
so we can conclude that the missing side length ( or z) equals 25
now to solve for the angles
Trigonometry
We can solve for y using sin
sin = opposite side divided by the hypotenuse
the opposite of y is 7 and the hypotenuse is 25
so we set up an equation [tex]sin(y)=\frac{7}{25}[/tex]
now we solve for y
[tex]\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471[/tex]
then we round to the nearest hundredth
so we can conclude that angle labeled y = 16.26
basic geometry
Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180
180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74
The organizers of a carnival need to buy a total of 200 small and large signs combined for the event. If the small signs cost $5 and the large signs cost $10, how many signs can they buy with $1500.00. Write the systems of equation and solve the system by graphing.
Answer:25$
Step-by-step explanation:
Yolanda ha comprado un coche por 8.200 euros. Lo ha pagado en tres partes. Primero pagó un 60% del valor del coche, después el 25% y por ultimo el resto ¿ cuánto pagó Yolanda la última vez?
Answer:
1.230 euros
Step-by-step explanation:
De la pregunta anterior se nos dice que:
Yolanda compró un coche por 8.200 euros. Lo ha pagado en tres partes.
Paso 1
Sea el porcentaje de la suma total de dinero = 100%
Primero pagó el 60% del valor del auto, luego el 25% y finalmente el resto.
Dejemos que el resto esté representado por x
Por eso;
Primera parte + Segunda parte + Tercera parte = 100%
60% + 25% + x = 100%
x = 100% - (60% + 25%)
x = 100% - 85%
x = 15%
Paso 2
¿Cuánto pagó Yolanda la última vez?
La última vez = Tercera parte y esto se calcula como:
15% de 8.200 euros
= 15/100 × 8.200 euros
= 1.230 euros
Yolanda pagó 1.230 euros la última vez.
PLS HELP!! RIGHT ANSWER GETS BRAINLIEST!! pls only answer if u know the answer 100% this is a test!
Over what interval(s) is the function strictly linear?
0
−2
0
−2
Answer:
It’s -2 and 0 AND also 2 and 4
Step-by-step explanation:
Good luck!
X/19 < -7
Inqualities
Because 19 is being divided, you have to do the opposite. What's the opposite of division? Multiplication. So multiply 19 to -7, then get rid of the 19 on the x's side(cuz it was cancelled out). Now you should have x<-133. In case you don't know, positive times negative equals negative, but negative times negative equals positive.
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hope it helps
Choose one polynomial from each column below that will result in the given product. Select one option from each drop down. 24x^3y^2+16xy^3+12y^3 Column 1 a.) 4xy b.) 4x^2y c.) 4y^2 Column 2 d.) 6x+4y+3 e.) 6x^3+4xy+3y f.) 6x^2y+4x+3y^2
Answer:
[tex]Column\ 1: 4y^2[/tex]
[tex]Column\ 2: 6x^3+4xy+3y[/tex]
Step-by-step explanation:
Given
[tex]24x^3y^2+16xy^3+12y^3[/tex]
Required
Determine the product from the given column
[tex]24x^3y^2+16xy^3+12y^3[/tex]
Factor our [tex]y^2[/tex]
[tex]24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)[/tex]
Factor out 4
[tex]24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)[/tex]
So: the factors are:
[tex]4y^2[/tex] and [tex]6x^3 + 4xy + 3y[/tex]
This gives:
[tex]Column\ 1: 4y^2[/tex]
[tex]Column\ 2: 6x^3+4xy+3y[/tex]
11x - 8y = -4
-4x + 3y = 2
Answer:
x=4, y=6. (4, 6).
Step-by-step explanation:
11x-8y=-4
-4x+3y=2
----------------
4(11x-8y)=4(-4)
11(-4x+3y)=11(2)
-------------------------
44x-32y=-16
-44x+33y=22
-------------------
y=6
11x-8(6)=-4
11x-48=-4
11x=-4+48
11x=44
x=44/11
x=4
Find the coordinates of each point after the described reflection. Give the distance between each point and its reflection.
Complete Question:
Find the coordinates of the point after the described reflection. Give the distance between the point and its reflection. R(-5, 8) is reflected across the x-axis _____________.
Answer:
[tex](a)[/tex] [tex]R' = (-5,-8)[/tex]
[tex](b)[/tex] The distance is 16 units
Step-by-step explanation:
Given
[tex]R = (-5,8)[/tex]
Solving (a): Reflection across x-axis
The rule is:
[tex]R(x,y) ==> R(x,-y)[/tex]
So, the reflection of [tex]R = (-5,8)[/tex] is:
[tex]R' = (-5,-8)[/tex]
Solving (b): The distance between R and R'
Distance (d) is calculated as:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Where:
[tex]R = (-5,8)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]R' = (-5,-8)[/tex] --- [tex](x_2,y_2)[/tex]
This gives:
[tex]d = \sqrt{(-5- -5)^2 + (-8- 8)^2}[/tex]
[tex]d = \sqrt{(0)^2 + (-16)^2}[/tex]
[tex]d = \sqrt{256}[/tex]
[tex]d = 16[/tex]
The distance is 16 units
I need help finding area fast
Answer:
24
Step-by-step explanation:
The awnser is 24 because you have to multiple 6x4
Step-by-step explanation:
6x4=24
Inés tiene una linda colección de estampillas en el álbum de Europa tiene274,de Francia 188,de Italia ;254 de Alemania y 124 de España sien el álbum de América hay 854 estampillas ¿en que álbum hay mas estampillas?
Answer:
la puedes a sed a engles no se mucho español.
Find the TOTAL Surface Area of the square prism below.
12 cm
6 cm
6 cm
6 cm
6 cm
360 cm2
216 cm2
72 cm2
288 cm2
Answer:
I believe that the answer is C: 72 cm²
can sumone please help me im sooo tired and i have like 2 more test to complete today please thank you!!
Answer:
so not submit yet, i cant see the digits in the sphere.
What is the additive 3x -6
Answer:
-18
Step-by-step explanation:
Answer:
−3x+6
Step-by-step explanation:
Please answer this! Pleaseeeeee
Answer: x=50°
Step-by-step explanation:
For this question, you have to first find out whether you are using Sin, Cos or Tan.
To help you find out which one you are using you can use SOH CAH TOA to help you:
SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.
In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.
So first you would write:
Cos x=59/91
But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:
x=cos-1 59/91
To get the answer you would have to put this in your calculator.
So x=50°
Hope this helps :)
A. GIVE AN EXAMPLE OF THE FOLLOWING AROUND YOUR HOME POINTS 1. 2. 3. 4. LINE /RAY/SEGMENT 5. 6. 7. 8. PLANE 9. 10.
Orlando tiene como tarea obtener el resultado correcto de la operación 14 + 5 – 6 x 2 ¿Hallará el resultado correcto efectuando (14 + 5) – (6 x 2) o (14 + 5 – 6) x 2?.
Responder:
(14 + 5) - (6 x 2)
Explicación paso a paso:
Para la operación dada:
14 + 5-6 x 2
Siguiendo la prioridad de operación matemática BODMAS.
Multiplicamos antes de realizar la suma:
-6 * 2 = 12
Ahora;
14 + 5 - 12
19 - 12 = 7
Por tanto, comprobamos cuál de las opciones nos da 7
(14 + 5-6) x 2
13 * 2 = 26
(14 + 5) - (6 x 2)
19 - 12 = 7
Por lo tanto, esto (14 + 5) - (6 x 2) da el resultado correcto
please help me simplify this
Step-by-step explanation:
Given
sin(α+β) cos(α-β) +cos(α+β) sin(α -β)
We can see it is in the formula of
sin(A + B) = sinA cosB + cosA sinB
So now
Sin ( α + β + α - β)
= sin 2α
Or we can write sin2α as
= 2 sin α * cos α
Hope it will help :)❤
A container holds 2
3
gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?
You would
to solve this problem.
Each runner will get
gallon of apple juice.
Answer:
5.75 gallon each
Step-by-step explanation:
Simple unit rate problem
So we have 23 gallons of apple juice and 4 people sharing this 23 gallons evenly. So we jsut divide. 23/4= 5.75
So 5.75 gallon each.
Answer:
5 3/4 (5.75)
Step-by-step explanation:
23 divided by four team mates equals 5.75
Jaquin would like to install a rug in her square living room. Her living room has an area of 121 square feet. What should the side length of the rug measure?
Answer:
11 feet
Step-by-step explanation:
All the sides of a square are equal
the area of a square = length²
121 ft² = length²
to determine the length find the square root of the area, 121
√121 = 11 feet
help anyone giving 5 stars
Answer:
The answer is: B
Step-by-step explanation:
Hope this helps!
A
Write an explicit formula for an, the nth term of
the sequence 17, 15, 13, ...
Tn=-2n+19
Step-by-step explanation:
Well in south africa we use Tn
Tn=a+(n-1)d
a=is the first term in the sequence which is 17
d=is the the difference between the terms which is - 2
Tn=17+(n-1)(-2)
Tn=17-2n+2
Tn=-2n+19
which is the graph of x^2/16+y^2/6=1
Answer: The graph ou are looking for is added in the picture.
Graph 1 shows the correct representation the solution of the system.
What is solution of system of linear equation?The point that satisfies all of the equations in a system of linear equations is called the solution.
A system of linear equations could be solved through graphing as well as identifying the intersection point, or by solving the variables algebraically.
here, we have,
For the given question;
The system of linear equation are given as;
x + 2y ≤ 16 .......eq 1
4x + y > 6 ......eq 2
Consider equation 1;
x + 2y = 16
For x = 0; y = 8 , Point = (0, 8)
For y = 0, x = 16, Point = (16, 0)
As the inequality of the eq 1 is less than equal to, the shaded region will lies below the line with solid lines.
Consider equation 2;
4x + y = 6
For x = 0; y = 6 , Point = (0, 6)
For y = 0, x = 1.5, Point = (1.5, 0)
As the inequality of the eq 2 is greater than, the shaded region will lies above the line with doted lines.
Thus, graph 1 shows the correct representation the solution of the system.
To know more about the solution of system of linear equation, here
brainly.com/question/13054392
#SPJ3
complete question:
Which graph is the solution of the system
x+2y≤16
4x+y>6
1 2 3 4
please help i’ll give brainliest if you help thanks
Answer:
pretty sure its 4b!
Step-by-step explanation:
Answer:
4b
Step-by-step explanation:
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Answer:
4 1/6 inches
Step-by-step explanation:
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Perimeter of Triangle = Side a + Side b + Side c
Perimeter of the Triangle =
( 1 1/6 + 1 1/3 + 1 2/3) inches
Lowest common denominator = 6
= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)
= 3 + (1 + 2 + 4/6)
= 3 + 7/6
= 3 + 1 1/6
= 4 1/6 inches
Corinna wants to make ⅔ of the recipe. Does she need more or less than 1 ¾ cups of sugar? Explain how you know. How many cups of sugar does she need?
For the following right triangle, find the side length x.
х
8
15
Answer:
17
Step-by-step explanation:
h²=p²+b²
hypotenuse is x.
So, 8²+15²=289 which is 17²
so, h=17
what are the inverse operations for addition and multiplication?
Answer:
Operations Inverse operations
Addition Subtraction
Subtraction Addition
Multiplication Division
Division Multiplication
Step-by-step explanation:
i hope this will help you
Work out the size of angle PRQ.show working out
Answer:
I got full 3 marks for this but you might have to reword depending on how your mathswatch was set
Step-by-step explanation:
12-2=10
10×180=1800
1800/12=150
=150˚
150/2=75
=75
is income take home pay?
Answer:
Take-home pay is the net amount of income received after the deduction of taxes, benefits, and voluntary contributions from a paycheck.
Step-by-step explanation:
Hope this helps!
Five more than twice a number is less than one more six times the number.
2. Which is greater, 5.15 x 10-4 or 6.35 x 10-5
Answer:
6.35 x 10-5
Step-by-step explanation:
5.15 x 10-4 = 47.5
6.35 x 10.5 = 58.5
therefore 6.35 x 10-5 is greater