-3× - 5= 10+5
-3×=15
15÷-3 = -5
x= -5
Angles ABC and ADF are alternate interior angles. The measure of angle ABC is equal to (8x+4)° and the measure of angle ADF is equal to(10x-20)°. Determine the measure of each of the angles.
Answer:
∠ABC = 100°
∠ADF = 100°
Step-by-step explanation:
(8x + 4)° = (10x - 20)°
(2x)° = 24°
x = 12°
Compute, knowing that x = 12°
8x + 4 = 8 · 12 + 4 = 100°
10x - 20 = 10 · 12 - 20 = 100°
Se tiene un lote baldío de forma triangular bardeado. La barda de enfrente tiene una medida de 4 m,las otras dos bardas no es posible medirlas directamente pues hay mucha basura. Sin embargo,se sabe que el ángulo que está frente a la barda frontal mide 34° y otro de sus ángulos mide 64°. Se quiere calcular la medida de la barda que está enfrente del ángulo de 64°. Explica por qué no es posible resolver el problema aplicando sólo las razones trigonométricas o el teorema de Pitágoras
Answer:
a) La medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m. b) El triángulo en cuestión no es un triángulo rectángulo, es decir, ninguno de sus ángulos internos es recto (90 grados sexagesimales). En estos casos, no se puede aplicar el Teorema de Pitágoras o la simple utilización de las razones trigonométricas; se aplican, en cambio, leyes para la resolución de triángulos oblicuángulos (o triángulos no rectángulos).
Step-by-step explanation:
Este problema no se puede resolver "aplicando sólo las razones trigonométricas o el teorema de Pitágoras" porque es sólo aplicable a triángulos rectos, es decir, uno de los ángulos del triángulo es recto o igual a 90 grados sexagesimales. Los dos restantes triángulos suman 90 grados sexagesimales, o se dice, son complementarios.
La resolución de triángulos que no son rectos (conocida en algunos textos como solución de problemas de triángulos oblicuángulos) pueden resolverse usando, la ley de los senos (o teorema del seno), ley de los cosenos y la ley de las tangentes. El caso propuesto en la pregunta se ajusta a la ley de los senos:
[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)} = \frac{c}{\sin(\gamma)}[/tex]
Es decir, la razón entre el lado de un triángulo y el seno del ángulo que tiene frente a él es igual para todos los lados y ángulos del triángulo.
El triángulo de la pregunta no tiene un ángulo recto
La suma de los ángulos internos de un triángulo es de 180 grados sexagesimales:
[tex] \\ \alpha + \beta + \gamma = 180^{\circ}[/tex]
En la pregunta tenemos que la suma de los dos ángulos propuestos es:
[tex] \\ 34^{\circ} + 64^{\circ} + \gamma = 180^{\circ}[/tex]
[tex] \\ 98^{\circ} + \gamma = 180^{\circ}[/tex]
Restando 98 grados sexagesimales a cada lado de la igualdad:
[tex] \\ 98^{\circ} - 98^{\circ} + \gamma = 180^{\circ} - 98^{\circ}[/tex]
[tex] \\ 0 + \gamma = 180^{\circ} - 98^{\circ}[/tex]
[tex] \\ \gamma = 82^{\circ}[/tex]
Con lo que se deduce que no hay ningún ángulo recto en el triángulo propuesto y no se podría usar el Teorema de Pitágoras o simples razones trigonométricas para resolverlo.
Resolución del lado del triángulo
De la pregunta tenemos:
La barda de enfrente tiene una medida de 4m. El ángulo que está enfrente de esta barda (barda frontal) es de 34°. No se sabe el valor del lado que está enfrente del ángulo de 64°, pero se puede calcular usando la Ley de los senos.Digamos que:
[tex] \\ a = 4m, \alpha = 34^{\circ}[/tex]
[tex] \\ b = x, \beta = 64^{\circ}[/tex]
Entonces, aplicando la Ley de los senos:
[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)}[/tex]
Multiplicando a cada lado de la igualdad por [tex] \\ \sin(\beta)[/tex]
[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = \frac{b}{\sin(\beta)}*\sin(\beta)[/tex]
[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*\frac{\sin(\beta)}{\sin(\beta)}[/tex]
[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*1[/tex]
[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b[/tex]
Sustituyendo cada valor en la expresión anterior:
[tex] \\ b = \frac{a}{\sin(\alpha)}*\sin(\beta)[/tex]
[tex] \\ b = \frac{4m}{\sin(34^{\circ})}*\sin(64^{\circ})[/tex]
[tex] \\ b = 4m*\frac{0.8988}{0.5592}[/tex]
[tex] \\ b = 6.4292m[/tex]
En palabras, la medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m.
El lado c puede obtenerse de manera similar considerando que [tex] \\ \gamma = 82^{\circ}[/tex].
find the volume of a regular hexagonal prism with the height of 22 apothem of 16 and a side length of 8
8778 cubic units
8558 cubic units
8448 cubic units
8668 cubic units
Answer:
[tex]V=8,448u^3[/tex]
Step-by-step explanation:
The volume of a prism is given by:
[tex]V=A_{b}*h[/tex]
where [tex]A_{b}[/tex] is the area of the base, and [tex]h[/tex] is the height of thr prism.
We know that the height is:
[tex]h=22[/tex]u
and the bases of this prism are hexagons.
Thus the area of the base is the area of a regular hexagon:
[tex]A_{b}=\frac{n*l*a}{2}[/tex]
where [tex]n[/tex] is the number of sides: for an hexagon: [tex]n=6[/tex]
[tex]l[/tex] is the length of each side: [tex]l=8[/tex]u,
and [tex]a[/tex] is the apothem: [tex]a=16u[/tex]
we substitute all of this to find the area of the base:
[tex]A_{b}=\frac{6*8u*16u}{2}\\ \\A_{b}=\frac{768u^2}{2}\\ \\A_{b}=384u^2[/tex]
and finally we use the formula for the volume:
[tex]V=A_{b}*h[/tex]
we get the following:
[tex]V=384u^2*22u\\V=8,448u^3[/tex]
which is the third option
can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don't know tax and tip. plz help. out of the goodness of yalls hearts
If something isn't clear or you're still confused about, let me know in the comments.
Step-by-step explanation:
Okay, here's my best try.
Suppose you have a bill for $8.45
If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.
Begin by converting 8% to decimals by dividing by 100.
[tex]\frac{8}{100}=0.08[/tex] 8% is 0.08 in decimal form.
To calculate a percentage of a number, you multiply the decimal percent by the number; example:
[tex]0.08(8.45)[/tex] 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)
After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45
This would be: 0.68+8.45=9.13.
Therefore, the total bill after tax is for $9.13
----------------------------------------------------------------------------------------------------
With tips is the same thing, however, you can have 2 situations.
Situation 1: You are asked to calculate 15% tip of total bill.
In this situation, you can do the same we do to calculate tax.
Convert the percentage to decimal by dividing by 100.
[tex]\frac{15}{100}=0.15[/tex]
and multiply it by the original bill.
[tex]0.15(8.45)=1.2675[/tex]. Rounding up, this would be $1.27 for tip.
If you were to add it to the original bill, simply sum.
[tex]8.45+1.27=9.72[/tex]
The total bill after tips is for $9.72
Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.
In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)
Then you can calculate 15% tip of this new bill that has tax included.
Convert
[tex]\frac{15}{100}=0.15[/tex]
Multiply by the new bill (because this is the one that includes tax)
[tex]0.15(9.13)=1.3695[/tex] Round up.... $1.37 for tips.
If you are asked to give a total amount of money including tax and tips, add this to the bill.
9.13+1.37=10.50
This bill would be for $10.50
The lowest common multiple of 10, 15 and p is 150. Find the two possible values of p which are odd numbers.
Answer:
p = 3, p = 5
Step-by-step explanation:
Express 150 as a product of prime factors, that is
150 = 2 × 3 × 5 × 5
Thus 2 odd factors of 150 are 3 and 5
The possible values of p are 3 and 5
You put $800 in a savings account. The account earns 4% simple interest per year.
a. What is the interest earned after 5 years?
The interest earned is $__ after 5 years.
b. What is the balance after 5 years?
The balance is $__ after 5 years.
Answer:
A. 160
B. 960
Step-by-step explanation:
The interest earned after 5 years is the balance - the initial balance: 160
The balance is 800 * (1 + .04*5): 960
HELP ME ASAP
Find the surface area. Use 3.14 for pie
Answer:
The surface area is 1,580.99 in²
Step-by-step explanation:
Known :
Diameter (d) = 19 in
Height (h) = 17 in
Asked :
Surface Area (Sa) = ...?
Answer :
Radius (r) = ½ d = ½ × 19 = [tex] \frac{19}{2} [/tex] = 9,5 cm
Tube Surface Area Formula :
= [tex] \boxed{\bold{\pi d (r + h)}} [/tex]
= 3.14 × 19 × (9,5 + 17)
= 59.66 × 26.5
= 1,580.99 in²
So, the surface area is 1,580.99 in²
#CMIIW ^^
How do you Graph the function f(x) = -3(2)x on the axes
Answer:
Using a Graphing Calculator like Desmos, we can figure this out.
Here is what is should look like:
Need the answer for my sister at 4:40pm!!!!!!!
Find the mean and mode of: 120, 205, 90, 205, 85
Answer:
Mean = 141
Mode= 205
Step-by-step explanation:
Mean = all of the numbers added, then divided by the number of numbers there are.
120+205+90+205+85= 705
705 ÷ 5 = 141
The mode = the number that is repeated. 205 if the mode because it is the only number that is repeated.
I hope this helps :)
Please help please
-2x - x + 8 = ?
Answer:
-3x + 8
Step-by-step explanation:
Simplify. combine like terms (terms with the same amount of variables).
Subtract -2x and x: -2x - x = -3x
-3x + 8 is your answer.
~
What is the answer for (5p2 - 3p + 4) - (2p2 - 9p + 8) ?
Answer:
3(p+1)²-7
Step-by-step explanation:
(5p² - 3p + 4) - (2p² - 9p + 8) =3p²-12p-4=3(p+1)²-7
Answer:
[tex]3p^2+6p-4[/tex]
Step-by-step explanation:
[tex](5p^2-3p+4)-(2p^2-9p+8)[/tex]
Now, combine like terms.
[tex](5p^2-2p^2)+(-3p+9p)+(4-8)[/tex]
[tex]3p^2+6p-4[/tex]
Which statements describe analogous structures? Check all that apply.
Analogous structures indicate a common ancestor.
Analogous structures do not indicate a common ancestor.
Analogous structures have the same structure, but may have a different function.
Analogous structures have the same function but a different structure.
An example of an analogous structure is the wing of a bat and a butterfly.
An example of an analogous structure is the forelimb of a human, a dog, and a whale.
Answer:
2 4 and 5
Step-by-step explanation:
took it and got it right
Answer:
The Answers Are 2, 4, and 5
Step-by-step explanation:
Which statements describe analogous structures? Check all that apply.
Analogous structures indicate a common ancestor.
Analogous structures do not indicate a common ancestor.
Analogous structures have the same structure, but may have a different function.
Analogous structures have the same function but a different structure.
An example of an analogous structure is the wing of a bat and a butterfly.
An example of an analogous structure is the forelimb of a human, a dog, and a whale.
How do you find compound probability
Answer:
Compound probability is equal to the probability of the first event multiplied by the probability of the second event.
Step-by-step explanation:
Which expression is equivalent to 6 (a-3)?
Answer:
6a-18
Step-by-step explanation:
multiply by 6
6a-(6×3)
6a-18
=6a-18
What is the measure of missing angle?
Answer:
[tex]x = 115[/tex]
First answer is correct.Step-by-step explanation:
lets get the missing side as x
[tex]75 + 40 = x \\ 115 = x[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Quando colocamos roupas molhadas no varal em dias quentes percebemos que as roupas depois de um tempo ficam secas. Qual o estado físico que se encontra nas roupas molhadas? e nas roupas secas?
Answer:
Liquid water to vapor waterStep-by-step explanation:
This problem is about our wet clothe, when we put it under the Sun to dry.
Notice that the clothe is wet at the beginning, but after a certain time, it gets dry. This phenomenon is beacuse the change of the state of the water inside the clothe.
You see, at the beginning, the water is in liquid state making the wet effect, then that water transforms into vapor, makign the dry effect.
Therefore, the answer is "liquid water to vapor water", that's the change.
whats a interger with your words
Answer:The first graders began to count, naming each integer up to 100.
Step-by-step explanation:
Answer:
one of the positive or negative numbers 1, 2, 3, etc., or zero.Compare whole number.
Step-by-step explanation:
Help!
Always, sometimes or never
The Capacity of a container will ALWAYS be less than the containers Volume
Answer:
The correct option is Sometimes.
Step-by-step explanation:
Volume refers to the amount of three-D space that a liquid, a solid or a gas, occupies. Some of the most commonly used units of volume are cubic meters, liters, millilitres and cubic centimetres.
Whereas, capacity refers to the capability to hold or absorb something. It is similar in theory to volume, but there are little dissimilarities.
Consider the example below:
The nitrogen gas cistern has a capacity of 12 gallons. The gas in the experiment expanded to three times its original volume.So, the capacity of a container can be or cannot be less than the volume.
Thus, the correct option is Sometimes.
Which of the following statements is equivalent to P(z < −2.1)? P(z > –2.1) 1–P(z < 2.1) P(z < 2.1) 1–P(z > 2.1)
Answer:
It's b
Step-by-step explanation:
Just answered it
The given statement P(z < −2.1) is equivalent to the expression 1 – P(z < 2.1). Option B is correct.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
here, z = x - μ / σ
where, μ = mean and σ = standard deviation
Here,
P(z < −2.1)
By the property of the Z score,
P(z < −2.1) = 1 – P(z < 2.1)
Thus, the given statement P(z < −2.1) is equivalent to the expression 1 – P(z < 2.1).
Learn more about the z-score here:
brainly.com/question/13793746
#SPJ2
The algebraic expression 4x2 + 3x + 5 is a polynomial.
Please select the best answer from the choices provided
T
F
Answer: The answer is False
Step-by-step explanation:
I just took it
Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63. The total possible marks for the test was 75. Which system of equations represents the situation?
Answer:
0.80A + 0.92B = 63 .....1
A + B = 75 ......2
Step-by-step explanation:
Let A and B represent the total possible score in part A and B respectively;
Analysing each sentence of the question;
Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63
80% of A + 92% of B = 63
0.80A + 0.92B = 63 ......1
The total possible marks for the test was 75;
A + B = 75 .....2
So, equation 1 and 2 provides a set of simultaneous equations that can be used to represent and solve the situation.
Solving the simultaneous equations, we will arrive at;
Part A = 50
Part B = 25
2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x-2y=-7
x = 2, y = 7
x = 5, y = 2
>
x= 3, y=5
x = 7, y=3
Answer:
Whats the question?
Step-by-step explanation:
Answer:
i need a queastion to answer this..
Step-by-step explanation:
Solve the equation 3x + 2 = 4x + 5 using algebra tiles. Which tiles need to be added to both sides to remove the smaller coefficient? 3 positive x-tiles3 negative x-tiles 4 positive x-tiles 4 negative x-tiles Which tiles need to be added to both sides to remove the constant from the right side of the equation? 2 positive unit tiles 2 negative unit tiles 5 positive unit tiles 5 negative unit tiles What is the solution? x = –3x = –1x = 3x = 7
Answer:
Step-by-step explanation:
Given the expression
3x + 2 = 4x + 5
1. The smaller coefficient of x is 3
to remove the smaller coefficient
we need to add - 3x to both sides
3x +2 + (-3x) = 4x +5 (-3x)
3x + 2 - 3x = 4x + 5 - 3x
Collecting like terms we have
3x-3x+2= 4x-3x+5
2 = x+ 5
2. The constant on the right side is
5,to remove the constant from the right side of the equation we need to add - 5 to both sides
3x + 2+ (- 5) = 4x + 5 +(-5)
3x+ 2-5 =4x +5-5
3x-3 = 4x
HELPPP ASAP
which point represents the ordered pair
Answer:
point S
Step-by-step explanation:
mooo! hope this helps
Please help it’s multiple choice.
Answer:
I would like to help you, but I don't see the picture... I will help you the best that I can.
Step-by-step explanation:
1. Addition all the B's fractions on the diagram,
2. Put the result in decimal number,
3. Addition all the fractions on the diagram,
4. Put the result in decimal number,
5. Put the result of B on the other result to obtain a new fraction,
6. Divided the result to obtain the lowest fraction possible,
7. Here is your answer!
I can't guarantee you that it's the good answer, but it's the best that I can do.
Anna wants to celebrate her birthday by eating pizza with her friends. For \$42.50$42.50dollar sign, 42, point, 50 total, they can buy ppp boxes of pizza. Each box of pizza costs \$8.50$8.50dollar sign, 8, point, 50. Select the equation that matches this situation.
Answer:
42.50 = 8.50p
Solution of the equation : p = 5
The can buy 5 pizza.
Step-by-step explanation:
Given;
Total cost allocated for buying pizza C = $42.50
Cost of one pizza c = $8.50
Number of pizza they can buy = p
This can be expressed in an equation as;
Total cost = cost per pizza × number of pizza
C = pc
Substituting the values of C and c;
42.50 = 8.50p
We can solve the derived equation for p;
p = 42.50/8.50
p = 5
1. Give an example of Similarity in your everyday life
Answer:
a similartity is we both are questioners
Step-by-step explanation:
The perimeter of the patio shown below is 120 feet. Develop a formula to find y in terms of x. Explain your work.
Answer:
Perimeter of the given patio is [tex](\pi+6)y + 10x +8[/tex].
Step-by-step explanation:
Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.
Perimeter of given figure can be found by the following:
Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.
Let us mark points P and Q on sides AB and FA respectively.
These points P and Q are just opposite to point D. Please refer to attached diagram for details.
As this figure has symmetry so, sides
[tex]side\ AP =side\ FE\ i.e\ 2y\\side\ AQ =side\ BC\ i.e.\ 2y\\side\ PB =side\ CD\ i.e.\ 3x+5\\side\ QF =side\ DE\ i.e.\ 2x-1[/tex]
Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)
[tex]\Rightarrow 2y + (3x+5) + 2y + (3x+5) + (2x - 1) + (2x-1) + 2y\\\Rightarrow 6y + 10x + 8 ...... (1)[/tex]
Perimeter of semicircle = [tex]\pi \times radius[/tex]
Radius of semicircle is y.
[tex]\text{Perimeter of semicircle = }\pi \times y ...... (2)[/tex]
Adding equations (1) and (2):
[tex]\text{Total perimeter = }6y + 10x + 8 + \pi y \\\Rightarrow (\pi+6)y + 10x + 8[/tex]
Perimeter of the given figure is [tex](\pi+6)y + 10x +8[/tex]
To make the Ice cream I need 600ml of heavy wiping cream and 200g of Sweet Condensed Milk. If I only have 473ml of cream and I have the right amount of Condensed milk how much do I need to reduce the Condensed milk for it to match the recipe with reduced amounts?
Answer:
157.6 ml of sweet condensed milk
Step-by-step explanation:
The ratio of heavy whipping cream to sweet condensed milk is a 3:1 ratio
Sarah picks two hats at random from 5 bill caps and 3 beanies. What is the probability she picks a BILL cap, DOES NOT REPLACE IT, then chooses ANOTHER BILL cap?
Answer:
The probability is 5/14
Step-by-step explanation:
Here, we are to calculate/estimate a probability
Firstly , we need to know the total number of caps
we have 5 bill caps and 3 beanies.
Total number of caps = 5 + 3 = 8 caps
The probability of picking the first bill cap is 5/8
Now after removing this and not replacing, we have 4 bill caps left and 3 beanies
Total cap remaining is 7 caps while the probability of picking a bill cap now is 4/7
The combined probability is thus 5/8 * 4/7 = 5/14