Answer:
Height of the empire building = 1505.57 ft
Step-by-step explanation:
Jada is visiting new York city to see the empire state building . She is 100 ft away when the she spots it. To see the top she has to look at an angle of 86.2° . The illustration forms a right angle triangle.
The height of the empire can be gotten below.
the adjacent side of the triangle formed = 100 ft
The side we are looking for is the opposite side which is the height of the empire state building. The angle formed is the angle of elevation from the ground to the top which is 86.2°
Using SOHCAHTOA principle the height can be gotten with the tangential degree.
tan 86.2° = opposite/adjacent
tan 86.2° = a/100
a = 100 tan 86.2
a = 100 × 15.0557227245
a = 1505.57227245
a ≈ 1505.57 ft
Height of the empire building = 1505.57 ft
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
5c+4 = 2 (c – 5)
What is the solution?
Answer:
0
Step-by-step explanation:
if I'm correct it's 0 because when you do all of the math that's what it came out to
what is the square root of 144?
Answer:
12
Step-by-step explanation:
12 times 12 is 144
Hope this helps
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
What’s the answer to this
Answer:
C is the correct answer. F(x) = -[tex]x^{3}[/tex]
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
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].
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
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:
A metal shop is cutting a rectangular piece of sheet metal with a width of 60 inches and a length of 144 inches. The shaded parts of the diagram represent two rectangular sections, A and B, that will be cut and removed.
Part A :What are the dimensions of section B?
Part B:What will be the area, in square inches, of the piece of sheet metal after both sections are cut and removed?
Answer:
Dimensions of section B = 36 inches, 48 inches
Area of the piece of sheet metal after both sections are cut and removed = 6336 square inches
Step-by-step explanation:
Given: Width and length of a rectangular piece of sheet metal are 60 inches and 44 inches.
To find: dimensions of section B, the area of the piece of sheet metal after both sections are cut and removed
Solution:
Length of rectangle B = TR = SR - ST = PQ - ST (As SR = PQ being opposite sides of rectangle)
Length of rectangle B = PQ - ST = 60 - 24 = 36 inches
Breadth of rectangle B = UR = QR - QV - VT - TU
Here, QR = PS = 144 inches (opposite sides of rectangle PQRS are equal )
QV = 36 inches
VT = WX = 24 inches ( opposite sides of rectangle WVTX are equal)
TU = 36 inches
So,
Breadth of rectangle B = 144 - 36 - 24 - 36 = 48 inches
Area of rectangle B = length × breadth = 36 × 48 = 1728 square inches
Area of rectangle WVTX = length × breadth = 24 × 24 = 576 square inches
Area of rectangle PQRS = PQ × PS = 60 × 144 = 8640 square inches
Area of the piece of sheet metal after both sections are cut and removed =8640 - ( 1728 + 576 ) = 8640 - 2304 = 6336 square inches
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
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 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:
HELPPP ASAP
which point represents the ordered pair
Answer:
point S
Step-by-step explanation:
mooo! hope this helps
Please help! I've been on this question for more than an hour...
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.
1/6 and you got the comment why
Answer:
1/6
Step-by-step explanation:
Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!
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]
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:
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
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
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:
Which of the following represents the factorization of the trinomial below?
-2x3-14x2 - 12x
A. -2(x2 + 1)(x+6)
B. -202 + 1)(x-6)
C. -2x(x + 1)(x+6)
a
D. -2x(x + 1)(x-6)
Answer:
-2(x + 1)(x + 6)
Step-by-step explanation:
Please use " ^ " to denote exponentiation: -2x^3-14x^2 - 12x
Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.
This quotient is also easily factored:
-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6) = -2(x + 1)(x + 6)
Please help me in this question.I need it right now!!!
Answer:
X=102 y=288 =390
Step-by-step explanation:
X=50+32=82=180-82=102
Y= 50+32=82=360-82=288
Total answer is =390
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.
You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches. If you place one scoop of ice cream on the cone and let the ice cream melt, will it spill over the cone?
Answer:
No, because the volume of the cone is greater than the volume of the ice cream scoop.
Step-by-step explanation:
To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.
The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:
V = (4/3) * pi * r^3
V = (4/3) * pi * 1^3
V = 4.1888 in3
Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):
V = (1/3) * pi * r^2 * h
V = (1/3) * pi * 1^2 * 5
V = 5.236 in3
As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.
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
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.
A net of a triangular prism is shown below. 42 8 ft 3 ft 5 f 5 ft What is the surface area, in square feet, of the triangular prism? A 44 B 96 C 108 D 120
Answer:
(C)108 square feet
Step-by-step explanation:
A net of triangular prism consists of two triangular and three rectangular faces.
The net attached is that of a right triangular prism.
Area of One Triangular Face =0.5 X 3 X 4=6 square feet
The rectangular faces are of dimension 4 ft by 8 ft, 5ft by 8ft and 3ft by 8 ft respectively.
Therefore:
Surface Area of the net =2(6)+(4X8)+(5X8)+(3X8)
=12+32+40+24
=108 square feet
The correct answer is C.
Answer:
108
this is correct, trust me
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
The value of 1 tenth is less the value of 3 tenth
Answer:
True, 3 tenths is closer to one whole
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.
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.