Answer:
The son is 13 and the father is 39,
Step-by-step explanation:
x= dad's age
y= 1/3x= boy's age
x+y=52
Substitute y=1/3x
x+1/3x=52
1 1/3x= 52
4/3x= 52
Multiply by reciprocal on both sides
(3/4)(4/3x)= (52)3/4)
x= (52*3)/4
x= 156/4
x=39 dad's age
Substitute x answer in to find boy's
y= 1/3x= 1/3(39)= (1*39)/3= 39/3= 13 boy's age
Check:
13+39= 52
28.2
с
45.8
В
о
mzB =
Answer:
31.6°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the trig function relating the sides opposite and adjacent an acute angle in a right triangle. It tells you ...
Tan = Opposite/Adjacent
__
The tangent of angle B is ...
tan(B) = AC/CB
tan(B) = 28.2/45.8
The angle is found from the tangent using the inverse tangent function.
B = arctan(28.2/45.8) ≈ 31.621°
The measure of angle B is about 31.6°.
Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.? acute, because 102 122>152 acute, because 122 152>102 obtuse, because 102 122>152 obtuse, because 122 152>102
The triangle with side lengths of 10 in., 12 in., and 15 in. is acute because 10^2 + 12^2 > 15^2
What is the acute angle?An acute angle is defined as the measure of an angle that is less than 90 degrees.
The side lengths of the triangles are 10, 12 and 15
The smallest side lengths are: 10 and 12
The sum of the squares of these side lengths is
[tex]10^2 + 12^2[/tex]
For the triangle to be acute, then the following must be true
[tex]10^2 + 12^2 > 15^2[/tex]
Evaluate the exponents
[tex]244 < 255[/tex]
The above inequality is true.
Hence, the triangle is acute because 10^2 + 12^2 > 15^2
Read more about triangles here;
brainly.com/question/17972372
Can someone help with this please??
Answer:
that don't even make sense
If the height is 6 cm, what is the volume of the pyramid? 24 cm3 48 cm3 128 cm3 144 cm3
The volume of the pyramid would be 128 cm^3.
what is the area of the trapezoid
Step-by-step explanation:
A = 1/2*h(base + base)
First step, plug in your numbers:
1/2*(3)(5 + 9)
Add inside the parenthesis:
1/2*(3)(14)
Multiply 3 x 14:
1/2*(42)
Lastly, multiply:
A = 21 m^2
Hope this helps you :)
Hey Mate ,
In this particular question we have to find the area of a trapezoid.
The formula for finding the area is 1/2(a+b)h
Here ,
A :- 5m B :- 9m H :- 3mNow putting all the values in the formula
Area :- 1/2(5+9)3
Area :- 21m²
what is the value of "Y" to the "2nd" power minus "X" to the "2nd" power when "Y" = 6 and "X" =5
Answer:
11
Step-by-step explanation:
y^2 - x^2
y = 6, x = 5
6^2 - 5^2
When using exponets we multiply a number by itself as many times as the exponet says, so in this case we multiply 6 x 6 and 5 x 5
6 x 6 = 36 5 x 5 = 25
36 - 25 = 11
Hope this helps!
there are 60 people in a class if 1/4 are absent how many peoples are presents
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.
How old is Kevin?
Answer:
kevin = 8 - hope this helped
:)
Step-by-step explanation:
Kevin = 4d Kevin is 4 times as old as Daniel
Kevin = d + 6 Kevin is 6 years older than Daniel
4d = d + 6 They both equal K, so they are equal
3d = 6 subtracts D from both sides
d=6/3 = 2
If Daniel is 2 then Kevin is 4x2=8
If Daniel is 2 then Kevin is 2+6 = 8
Kevin is 8
Daniel is 2
someone please help me with this
Answer:
a) 8/11 x 5/3
b) It will be positive. When we have an even number of negatives, the result will be positive ( (-) + (-) = +).
Step-by-step explanation:
a) -8/11 / -3/5
1) -8/11 ÷ (-3/5)
Write the complex fraction as a division expression. Use parentheses because our second fraction is a negative.
2) 8/11 ÷ 3/5
When we have an even number of negatives, the result will be positive ( (-) + (-) = +).
3) 8/11 x 5/3
Dividing is the same as multiplying the second part of the fraction flipped.
4) 40/33
Multiply them: 8 x 5 / 11 x 3
Since the question wants you to write as a multiplication expression, this is the answer:
8/11 x 5/3.
6 divided by 2 = n pls help
Answer:
n = 3
Step-by-step explanation:
2 goes into 6, 3 times
What is (2,1) rotated 90 degrees clockwise?
Answer:
(2,-1)
Step-by-step explanation:
It'd be moved into the 4th quadrant, which is +-
Answer:
It should be ( -1, 2) because it is rotated about -90 degrees.
Step-by-step explanation:
Brainliest Please
Who developed the system of binomial nomenclature?.
Answer:
The Correct A nswer Is... Carl Linnaeus
Step-by-step explanation:
For the function f(x)= √x-6 +1, find the inverse function.
Answer:
f^(-1) (x) = (x-1)²+6 x≥6
Step-by-step explanation:
y=√(x-6) +1 original for the inverse x and y switch places because you are rflecting the function over the line y=x
y=√(x-6) +1 now the job is solve for y by using inverse operations. Think about undoing the equation.
x-1=√(y-6) subtract 1
(x-1)²=y-6 square both sides of the equation
(x-1)²+6=y add 6 to both sides
x≥6 because we are only using real numbers and if x is less than 6 you get a negative number under the square root sign.
HELPPPPPPPPPP
What is 0.036 written as a percentage?
A) 0.036%
B) 0.36%
C) 3.6%
D) 36%
Answer:
3.6%
Step-by-step explanation:
^
Two tourist groups went to the local art museum. The admission for an adult ticket costs the same amount, and the admission for student ticket costs the same amount. The first tourist group paid $46.90 for 3 adult and 5 student admission tickets. The second tourist group paid $29.60 for 2 adult and 3 student admission tickets. What was the cost in dollars of each adult admission ticket?
Answer:
the cost in dollar of each adult admission ticket will cost $5.8
Find the measure of the missing angle of
34-w=6 is the question I need answered.
w = 28
solving stepwise:
[tex]\dashrightarrow \sf \ \ 34-w=6[/tex]
[tex]\dashrightarrow \sf \ \ -w=6-34[/tex]
[tex]\dashrightarrow \sf \ \ -w=-28[/tex]
[tex]\dashrightarrow \sf \ \ w=28[/tex]
Answer:
w = 28Step-by-step explanation:
Given equation:
34 - w = 6Substact 6 both sides:
⇒ 34 - w = 6⇒ 34 - w - 6 = 6 - 6⇒ 28 - w = 0Subtract 28 both sides:
⇒ 28 - w = 0⇒ 28 - 28 - w = 0 - 28⇒ 0 - w = -28⇒ -w = -28Multiply -1 both sides:
⇒ -w = -28⇒ -w × -1 = -28 × -1⇒ w = 28Roman art differed slightly from the Greek style because it included __________ on sculpted and painted faces. A. Beards B. Eyebrows C. Expressions D. Imperfections Please select the best answer from the choices provided A B C D
Answer:
D imperfections
Step-by-step explanation:
i did the practice test:)
Answer:
The asnwer is D!^^
Step-by-step explanation:
which graph represents the inequality y < 2x +3 correctly
Answer:
im not sure , sorry
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
Graphing inequality:
1) First plot y = 2x + 3 as a dotted line as y is less than x
Put x = 0, y = 2*0 +3 = 0 + 3 = 3 ⇒ (0, 3)
Put x = 1 , y = 2*1 + 3 = 2 +3 = 5 ⇒(1 , 5)
Put x = -1, y =2*(-1)+3 ⇒ -2+3 = 1 ⇒ (-1,1)
Mark these three points, and draw a dotted line.
2) Shade the area bellow the dotted line as y < 2x + 3
Check: take a point in the shaded area. (1 , -1)
-1 < 2*1 + 3
-1 < 2 +3
-1 < 5
The condition is satisfied.
Please please help me
I will give brainly
five stars and a thanks
Pattern of the birds she saw:
7, 14, 21, 28
Continuation
35, 42, 49, 56, 63, 70.Help me with khan geometry. (Explain or give answer no link to answer thx)
Answer:
[tex]\boxed{\sf 200\pi}[/tex]
Step-by-step explanation:
We know that the volume of a cone:-
[tex]\boxed{\sf \pi r^2\cfrac{h}{3}}[/tex]
(r = 10) (h = 6)
[tex]\sf \pi \times 10^2\times\cfrac{6}{3}[/tex]
Divide numbers:-
[tex]\sf \cfrac{6}{3}=\boxed{2}[/tex]
[tex]\sf 10^2\times \:2\pi[/tex]
[tex]\sf 100\times \:2\pi[/tex]
Multiply numbers:-
[tex]\boxed{\sf 200\pi}[/tex]
Therefore, your answer is 200π³
We could also multiply 200 by 3.14 which will give you 628 units³.
Are you picky about the toilet paper you buy? James is! To investigate the absorbency power of his favorite
brand of toilet paper, he went to the store and randomly selected (and purchased) 18 single rolls. He then
poured 1/4 cup of water onto a hard surface and counted how many individual squares of toilet paper it took
to completely absorb the water. Here are the results from his 18 rolls:
29
29
20
24
25 29 21
27 28 21
24 27 25 24
25 26 22 23
(a) Is there convincing evidence at the a= 0. 05 significance level that this brand of toilet paper will
require less than 26 squares to absorb 1/4 cup of water?
(b) Referring to your conclusion, what type of error may have been made? Describe the error in the
context of this study.
There's no convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares.
What is a significance level?A significance level simply means is the probability that an event has occured by chance.
In this case, there's convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares to absorb 1/4 cup of water. Therefore, we fail to reject the null hypothesis.
A type of error that may have been made is type II error. This is the non rejection if the null hypothesis when it's false.
Learn more about significance level on:
https://brainly.com/question/9163177
Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Answer:
36°
Step-by-step explanation:
A triangle'a angle must add up to 180.
So 97+47=144
180-144= 36°
Answer:
36
Step-by-step explanation:
97 + 47 + x = 180
x = 180 - 144
x = 36
The two histograms show the points scored per game by a college basketball player in 2008 and 2016. What is a typical number of points per game scored by this player in 2008?explain your reasoning.
Write 2-3 sentences that describe the spreads of the two distributions, including what spreads might tell us in this context
To determine the typical number of points per game in 2008 carefully observe the histogram and identify the number of points that the tallest bar represent.
What is a histogram?This is a type of graph that represents frequency by using bars.
How to identify the typical number of points?Considering the bars differ in height based on the frequencly, the best to identify the typical number of points is:
Identify the graph that represents the number of points during 2008.Look at the bars and identify the tallest one, as well as the number of points this represents.This would be considered the typical nubmer of points or the most common number of points.Note: This questions is incomplete because the histograms were not attached. Due to this, the answer is based on general knowledge.
Learn more about histogram in: https://brainly.com/question/14421716
#SPJ1
Find the width of a cereal box that has a volume of 2,310 cm3 and is 22 cm long and 21 cm high.
breadth = 5cm
hope it helps...!!!
original cost $98 current cost $89 find the percent of decrease round to the nearest whole percent
Answer:
87.22 hopee helps
Step-by-step explanation:
Pls pls pls help ill give you whatever :(
Answer:
[tex]y^{\frac{3}{7}}[/tex]
Step-by-step explanation:
[tex]\sqrt[7]{y^3}=y^{\frac{3}{7}}[/tex]
The root of the radical will become the denominator of the exponent fraction and the power of the radical will become the numerator of the exponent fraction
7 ---> is the root of the radical
3 is the power of the radical
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units, then what is the value of k?
k equals one fifth
k = 5
k equals negative one fifth
k = −5
Answer:
k = 5
Step-by-step explanation:
Plugging in 5 for k turns out positive 5 into a negative 5 because of the negative sign in the function. When k is negative, then the graph moves down.
Solve for s. You must write your answer in fully simplified form.
-5s = -13
Hey there!
-5s = -13
DIVIDE -5 to BOTH SIDES
-5s/-5 = -13/-5
CANCEL out: -5/-5 because it give you 1
KEEP: -13/-5 because it help solve for the s-value
NEW EQUATION: s = -13/-5
SIMPLIFY IT!
s = 13/5
Therefore, your answer is: s = 13/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\boxed{\sf{s=\dfrac{13}{5} }}[/tex]Step-by-step explanation:
Isolate the term of s from one side of the equation.
-5s=-13First, you have to divide by -5 from both sides.
→ -5s/-5=-13/-5
Solve.
Divide the numbers from left to right.
→ -13/-5=13/5
[tex]\Longrightarrow: \boxed{\sf{s=\dfrac{13}{5} }}[/tex]
Therefore, the correct answer is s=13/5.I hope this helps! Let me know if you have any questions.
I really need help! Pls!