Answers
Using two triangle concepts, it is found that the solution for y is of y = 70º.
What are the two triangle concepts used in this problem?The sum of the internal angles of a triangle is of 180º.The sum of an angle with it's external angle is also of 180º.Hence:
x + y + 70 = 180.y + 3x - 10 = 180 -> y = 190 - 3x.Then:
x + y + 70 = 180
x + 190 - 3x + 70 = 180.
2x = 80.
x = 40.
Hence:
y = 190 - 3x = 190 - 3(40) = 70º.
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Related Questions
Is (x + 7) a factor of f(x) = x³ - 3x² + 2x - 8?
Answers
Answer:
x=-7
0=(-7)³-3(-7)²+2(-7)-8
=-343-147-14-8
0≠-512
x+7 isn't a factor
Calcular la altura, h de un arbol sabiendo que, si nos situamos 8 metros de la base del tronco, vemos la parte superior de su copa en un angulo de 36.87*
Answers
Utilizando trigonometría, veremos que la altura del arbol es 6m.
¿Como obtener la altura del arbol?
Podemos visualizar la situación como un triangulo rectangulo.
La altura del arbol será el cateto opuesto al angulo de 36.87°.
La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.
Entonces, podemos usar la relacion:
tan(θ) = (cateto opuesto)/(cateto adjacente).
Reemplazando lo que conocemos, y definiendo:
altura = cateto opuesto = H.
tendremos:
tan(36.87°) = H/8m
Resolviendo para H:
H = tan(36.87°)*8m = 6m
Así, concluimos que la altura del arbol es 6m.
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36 students for 3 teachers =
1.0
5
12 students for 1 teacher.
Answers
Answer:
12
Step-by-step explanation:
36 divided by 3 =12 for 1 teacher
Find the value of x. Round the length to the nearest tenth.
Answers
Answer:
5.1 yd
Step-by-step explanation:
tan(25°) = x/11
x = 11tan(25°)=5.1 yd
Which expression is equivalent to
i need help asap
Answers
Picture shown PLEASE HELP
Answers
Answer:
m= –4
So, you only need to of the points to find the slope, why not choosing the first two:
[tex]m = \frac{y2 - y1}{x2 - x1} = = = > \\ m = \frac{12 - 8}{ - 3 - ( - 2)} = = = > \\ m = \frac{4}{ - 1} = - 4[/tex]
so basically, this is the slope your looking for
can u give the direct answer of 1 and 2
Answers
[tex] {a}^{3} . \\ \\ {a}^{5}. \\ \\ {a}^{9} . \\ \\ {a}^{m + n}. \\ \\ {x}^{1} = x.\\ \\ {x}^{3}. \\ \\ {x}^{3}. \\ \\ {x}^{m - n} . \\ \\ {y}^{6} . \\ \\ {y}^{12} . \\ \\ {y}^{18} . \\ \\ {y}^{ab}. \\ \\ 1. \\ \\ 1. \\ \\ {px}^{1} = px.[/tex]
••••••••••••••••••••••••••••••••••••••[tex]343 .\\ \\ 16 .\\ \\ 3125 .\\ \\ \frac{ - 8}{27} .[/tex]
The probabilities that Sani, Kolo and Tato will hit a target are 3/4, 2/3 and 7/3 respectively If all three men shot once what is the probability that target will be hit only once
Answers
Step-by-step explanation:
get the lcm of the numerals and the denominators then simplify
hope it is correct
what is the cos? trigonometry
Answers
Answer:
Cos, a abreviation of cosine is used in trigonometry, and it represents the ratio of the hyptenuse and the adjacent side of a right triangle (a triangle with a right/90 degree angle). The formula for evaluating cosine/cos is the length of the adjacent side of the triangle divided by length of the hypotenuse of the triangle. To be clear, the hypotenuse is the side of the triangle the 90 degrees is facing, and the adjacent side is the side across the hypotenuse.
Step-by-step explanation:
Answer:
A trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when it is considered part of a right triangle and the hypotenuse.
What is cos law?
The cos law or cosine law defines the relationship between the sides and the angles of the triangle. This law is also known as the law of cosine or cosine rule. According to this law,
c2 = a2 + b2 − 2ab cos α
Where a, b and c are the sides of the triangle.
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR.
Answers
1) [tex]\overline{RS} \perp \overline{ST}, \overline{RS} \perp \overline{SQ}, \angle STR \cong \angle SQR[/tex] (given)
2) [tex]\overline{RS} \cong \overline{RS}[/tex] (reflexive property)
3) [tex]\angle RST[/tex] and [tex]\angle RSQ[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\triangle RST \cong \triangle RSQ[/tex] (AAS)
Angela is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. she uses the following formula to calculate voltage:
the circuit she tests has a current of 3 + j 4 amps and a resistance of 4 - j 6 ohms.
what is the voltage of the circuit?
Answers
The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts
How to multiply Vectors?We are given;
Current; I = 3 + 4j amps
Resistance; R = 4 - 6j ohms
From ohms law, we know that;
V = IR
Thus;
V = (3 + 4j) * (4 - 6j)
V = 12 + 16j - 18j - 24j²
Now, in vector notation; j² = -1. Thus;
V = 12 - 2j + 24
V = 36 - 2j Volts
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I need help with dis math problem (img included)
Answers
Answer:
4500 sec
Step-by-step explanation:
1hr 15min= 75 min
75 x 60=4500
Will a stand that can hold up to 40 pounds support a21-kilograms television? Explain. Use 2.2 lb=1kg.
Answers
Answer: No
Step-by-step explanation:
Weight limit = 40 Lb
Weight given = 21 kg
Conversion factor
2.2 Lb = 1 kg
2.2 x 21 = 46.2
46.2 Lb = 21 kg
46.2 > 40, the stand cannot support the TV
TV > stand
show that 8/15 plus 3/10 equals 5/6
Answers
Step-by-step explanation:
find the Lcm of 15 and 10 which is 30
multiply the 2fractions by the LCM
8/15*30=16
3/10*30=9
add the products and put them all over the Lcm
(16+9)/30
=25/30 which is equivalent to 5/6 when you divide both the numerator and the denominator by 5
G E Which of the following segments is tangent to the circle ? 1) overline HL 2 ) overline DE 3 overline FG 4 ) overline AC
Answers
Answer:
DE
Step-by-step explanation:
........................
PLEASE HELP ASAP
If "x" varies directly with "y," and
x = -19 when y = 14, what is
"x" when y = 2?
Enter the number that belongs in the green box.
Reduce to simplest form.
X = -
Notice that the negative sign has already been entered.
Answers
The value of x when y = 2 is -19/7
How to solve for x?A direct variation from x to y is represented as:
x = ky
Where k represents the variation constant.
x = -19 when y = 14.
So, we have:
-19 = 14k
Make k the subject
k = -19/14
Substitute k = -19/14 in x = ky
x = -19y/14
When y = 2, we have:
x = -19 * 2/14
Evaluate
x = -19/7
Hence, the value of x when y = 2 is -19/7
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helpppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
70
Step-by-step explanation:
Valeria doesnt want any lollipops left over, but identical, so that means you have to add. You can divide the two colors otherwise you get a decimal, which you cant break a lollipop into, or an indefinite letter, a lollipop cant fit in that as well. The only sensible thing is to add them.
You are walking directly away from your house.
You are 5 miles away from your house when
you start walking, so you can determine your
distance from your house by adding 5 to the
number of miles you have walked. In the
equation below, a represents the number of
miles you have walked, and y represents your
distance from home in miles.
The relationship between these two variables
can be expressed by the following equation:
y = x + 5
Identify the dependent and independent
variables.
Your distance
from home
Number of
miles you
walk
Dependent
variable
Independent
variable
Answers
Answer:
dependent: your distance from home
independent: number of miles you walk
Step-by-step explanation:
lmk if you want an explanation
The steps for multiplying the linear expressions –2n and three-fourths n are shown. A 2-column table with 4 rows. First column is labeled Reason with entries Given, Step 1, Step 2, Step 3. Second column is labeled Step with entries (negative 2 n) (three-fourths n), negative 2 times three-fourths times n times n, (negative 2 times three-fourths) times (n times n), negative three-halves n squared. What is the mathematical reasoning for Step 1? associative property commutative property distributive property simplify
Answers
The mathematical reasoning for the first step is; Distributive Property
How to use Algebra Properties?We want to multiply the linear expressions; -2n and ³/₄n.
The first step will be to express them with the multiplication sign to get and factorize;
-2n × ³/₄n
Now, since n is common to both terms, we will factorize it out to get;
n(-2 × ³/₄)
Now, that operation above is termed as a distributive property because we know that the algebra distributive property is;
a(b + c) = ab + ac
Or a(b × c) = ab × ac
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Answer:
communitave property i think
Step-by-step explanation:
i would appreciate your help
Answers
__________________________________________________________
[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________
[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} (gradient) and a \emph{point}. This will help}\\\text{us solve our problem.}\quad{}\\\\\text{Slope: 2 }\\\\\text{Point: (1, 4)}\\\quad{}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values to its}\\\text{correct variable and solve.}[/tex]
__________________________________________________________
[tex]\textbf{Solve:}\\\\\text{Use the point-slope formula to solve.}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in 2 to m, 1 to x1, 4 to y1 and then solve.}\\\\y - 4 = 2(x - 1)\\\\\text{Use the \underline{distributive property} to distribute the 2.}\\\\y - 4 = 2x - 2\\\\\text{Add 4 to both sides to cancel the 4 on the left and move the remainder}\\\text{to the right side of the equal sign.}\\\\y = 2x + 2\\\\\text{Since we can't simplify any further, our answer is: \fbox{y = 2x + 2}}[/tex]
__________________________________________________________
[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line (our final answer) would be \fbox{y = 2x + 2}}[/tex]
__________________________________________________________
The standard form of an absolute value function is f(x)= alx-h+k. Which of the following represents the vertex?
O (-k,h)
O (-h,k)
O (k,h)
O (h,k)
Answers
Answer:
vertex = (h, k )
Step-by-step explanation:
the standard form of an absolute value function is
f(x) = a | x - h | + k
where (h, k ) are the coordinates of the vertex
Helppp! Which linear inequality is represented by the graph
Answers
PLS HELP I DONT KNOWWW!!
Answers
Answer:
3rd option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line
m = [tex]\frac{-1-(-2)}{4-0}[/tex] = [tex]\frac{-1+2}{4}[/tex] = [tex]\frac{1}{4}[/tex]
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = [tex]\frac{1}{4}[/tex] x - 2 ← equation of line
y = mx + c
where,
m is the gradient, and
c is the y-intercept (where the line crosses the y-axis)
Gradient can be calculated using the following formula, or rise/run:
m = (y2 - y1)/(x2 - x1)
= (-1 - - 2)/(4 - 0)
= 1/4
Therefore, using the gradient-intercept form:
y = mx + c
y = (1/4)x + (-2) (-2 is the point where the line crosses the y-axis)
Therefore, y = (1/4)x - 2 or Option C is the answer
Please Help! What is the value of x?
Answers
Answer:
4.1968
Explanation:
Given that:
angle: 25°
opposite: x
adjacent: 9
So, use the tan rule:
opposite/adjacent = tan(x)
x/9 = tan(25)
x = 9tan(25)
x = 4.1968
Option A
The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval -3 ≤ x ≤-1?
Answers
The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
Interval -3 ≤ x ≤-1
a = -3, b = -1
f(a) = f(-3) = -20
f(b) = f(-1) = 0
Step 2: Find Average
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10[/tex]
Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
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If 343* = 494-x, what is the value of x?
5/8
8/5
2
8
Answers
Answer: [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
343 is equal to 7 to the power of 3.
49 is equal to 7 to the power of 2.
You can then make the equation:
[tex](7^{3})^x = (7^2)^{4-x}[/tex]
The powers law means if something is to the power of something, it is multiplied.
So, we can remove the 7 and make the equation:
3x = 2(4-x)
3x = 8 - 2x
5x = 8
x = [tex]\frac{8}{5}[/tex]
You can verify this by plugging it in,
[tex]343^{8/5} = 11388.6066[/tex]
[tex]49^{4-(8/5)} = 11388.6066[/tex]
What is the range of f(x) = 3x + 9?
Answers
Answer:
The range is all real numbers.
Step-by-step explanation:
The function shown is a line (and not a horizontal line).
The range is all the y's on the graph or all the y's that can be generated by the equation of the function.
f(x) = 3x + 9
You could put ANY, literally any, number in place of the f(x) and be able to calculate an x for it. Looking at the graph of this line, you could go up and down the y-axis to infinity in either direction, and the graph of the line would be there.
The range is All Real Numbers.
Calculate the unpaid balance, finance charge, and new balance using the unpaid balance method. Note: Interest rate is given as a monthly rate
Previous balance:$179.32
Payments/credits:$85.00
Unpaid balance:$
Monthly rate:1.25%
Finance charge:$
New purchases=$117.42
New balance=$
Answers
The Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.
Finance charge
Unpaid balance:
Unpaid balance=Previous balance-Payments/credits
Unpaid balance=$179.32-$85.00
Unpaid balance= $94.32
Finance charge:
Finance charge =Finance charge×Monthly rate
Finance charge=$94.32×1.25%
Finance charge=$1.179
New balance:
New balance =Previous balance-(New purchases-Payments/credits)+Finance charges
New balance=$179.32-($117.42-$85.00)+$1.179
New balance=$179.32-$32.42+$1.179
New balance=$148.079
Therefore the Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.
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Answer:
94.32
1.18
212.92
in order
Step-by-step explanation:
How many dogs were in the sample?
Answers
each number under the leaves section would be a dog
answer: 11
Answer:
11
Step-by-step explanation:
13 7in 7in 7in volume and surface area pyramid
Answers
The Volume and Surface Area of Prism is 294 in² and 114.33 in³.
What is pyramid?A large structure built especially in ancient Egypt that usually has a square base and four triangular sides meeting at a point and that contains tombs.
Surface rea of rectangular prism,
= 2( lb +bh +lh)
= 2 ( 7*7 + 7*7+ 7*7)
= 2 ( 49+49+49)
= 2*3*49
= 294 in²
Now, Volume,
= bhl/3
= 7*7*7/3
= 114.33 in³
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