Answer:
h = mt
Step-by-step explanation:
Classify the triangle by its angles and by its sides
Right isosceles
Acute scalene
Acute isosceles
Obtuse isosceles
Answer:
Acute isoceles
Step-by-step explanation:
Two base angles of the triangle are equal making it isosceles
The top angle is less than 90° making it an acute angle
Help ASAP ❤️❤️❤️!!!!!!!!!!
Answer:
17.7 and 4.09
Step-by-step explanation:
Using the sine ratio in both right triangles
(49)
sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )
26 × sin43° = a, thus
a ≈ 17.7 ( to 1 dec. place )
----------------------------------------
(50)
sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )
6 × sin43° = a , thus
a ≈ 4.09 ( to 2 dec. places )
ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?
Answer:
4)
Step-by-step explanation:
When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).
Areas ratio is squared to ratio of their sides, so it is not 3).
Perimeter is sum of the sides. All corresponding sides in similar triangles have the same ratio. So, answer is 4).
The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
What are similar triangles?"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."
What is ratio?"It is the comparison of two quantities of the same kind."
For given question,
ΔABC is similar to ΔDEF.
⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]
We know, the perimeters of the similar triangles are in the same ratio as the sides.
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
The ratio of the length of AB to the length of DE is 2:1
[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]
Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
Learn more about similar triangles here:
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Integers and polynomials are both _[blank 1]_ under addition, subtraction, and multiplication; however, operations on polynomials _[blank 2]_ while operations on integers _[blank 3]_.
Answer:
Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .
Step-by-step explanation:
Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.
Operations on polynomials can sometimes be open, like in division.
Operations on integers can produce irrational results , for example, dividing 11 by 9.
Select the correct solution in each column of the table.
Solve the following equation.
18
12 + 6s
Examine the given table, and select the accurate number of each type of solution, as well as any real solutions that exist.
Number of
Real Solutions
Number of
Extraneous
Solutions
Real Solutions
0
0
x = 0
1
1
x= 3
2
x = 0, x= 3
N
Answer:
Number of Real Solutions = 1
Number of Extraneous Solutions = 1
Real Solutions = (x = 3)
For the graph, what is a reasonable constraint so that the function is at least 300?
(Graph Below)
A) x ≥ 0
B) −5 ≤ x ≤ 30
C) 0 ≤ x ≤ 25
D) All real numbers
Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
Answer:
C) 0 ≤ x ≤ 25
Its correct! Hope this helps :)
Solve this equation: 3x –1/5- 2/9x= 124/5
Step 1: Simplify by combining like terms. Which terms can
be combined?
Answer:
x = 9
Step-by-step explanation:
Given
3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides
3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side
[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )
25x = 225 ( divide both sides by 25 )
x = 9
6) A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?
11) At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
13) An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, explain in words why 15 is closest to the probability that the next customer will pay cash.
14) A store owner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, write a decimal, rounded to the tenths place to show the probability that the next customer will buy a blank card.
A survey of 50 people found that 14 people like building a snowman. If 600 people had responded, how many would have been expected to list building a snowman as their favorite winter activity?
theoretical or experimental probability, and why
Answer:
168, a little of both
Step-by-step explanation:
Make 14 out of 50, 14/50 simplified its 7/25, multiply it by 600 and you get 168 its a little of both because half the info we were given its experimental since it is not theorized, what we're being given (the question) and what we gave is theorized since we didn't actually perform an experiment to get a real answer
Can someone help me out, I'm having trouble on these two questions.
Answer:
Step-by-step explanation:
7,A=9*6sin30°
=54*0.5
A= 27
8,A=6*10sin60°
A= 60*0.86
A=52....... approximately
9, A=1/2bh
A=0.5*x*xroot 3
A=root3/2 x^2
You can find x using trigonometric values
Show and explain why 6 is not a solution to the inequality below.
2x - 9 ≥ 5
Answer:
x ≥ 7
Step-by-step explanation:
2x -9 ≥ 5
+9
x ≥ 14
14/2
=7
x ≥ 7
A pair of shoes usually sells for $65. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, including tax?
A. $44.79
B.
$49.40
C
$51.68
D
$48.23
Answer:
Step-by-step explanation:
Since 20% is taken off, 100%-20% or 80% remains.
80% of $65 is 0.80�$65 or $52. That's the price without tax.
The tax on $52 is 0.06�$52 or $3.12,
$52 + $3.12 = $55.12
Answer:
d
Step-by-step explanation:
square root of x²-6x+9 if x is greater than or equal 3
Answer:
x-3
Step-by-step explanation:
x²-6x+9 is equal to (x-3)²
The square root of any term that is positive is equal to the absolute value of the term. If x is greater or equal to 3, it makes the term positive.
So the root of x²-6x+9 is x-3
Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many times
bigger will the volume of the new box be?
2
3
5
8
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
Step-by-step explanation:
Jesse had $421.56 dollars in his checking account
when he deposited g twenty-dollar bills and k quarters
Write an expression that represents the amount of
money in his account after his deposit.
Answer:
An expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
Step-by-step explanation:
Jesse had $421.56 dollars in his checking account
Now he deposited g twenty-dollar bills
Now new amount =$421.56+20g
Now he deposited k quarters
1 quarter = 0.25
k quarters = 0.25k
So, Amount in the account = 421.56+20g+0.25k
Hence an expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
1 | 4
2| 8
3| 12
4| 16
Write a function rule for the table.
A. S=40
B. c=4s
C. s=c+ 4
D. C= 4+ S
b. c=4s
you multiply x times 4 to get y
Look at pic down underrr
Answer:
Triangle rsu = Triangle tus
Statements Reasons
UR ≅ TS Definition of Rectangle
US ≅ US Reflexive Property
<U, <T, <R, <S are all congruent and right angles
Definition of Rectangle
ΔRSU ≅ ΔTUS Side, Angle, Side
UR ≅ TS CPCTC
Just draw a reverse angle,hence you get comparison.
So, satisfying S-S-S
RUS ≅ SUT
RSU ≅ TUS
So, angle
URS = angle TUS
2. Pythagoras Theorem
Triangle RUS
A^2 + B^2 = C^2
Uu^2 + Ss^2 = Rr^2
√Rr = Rr^2 = x
Triangle TUS
A^2 + B^2 = C^2
Ss^2 + Uu^2 = Tt^2
√Tt = Tt^2 = x
UR measure / sin (60) x (90) = US measure.
ST measure / sin (60) x (90) = US measure.
Proves angles RSU = 30 degree
Proves angles TUS = 30 degree
As all adjacent angles in a triangle add up to 180 degree.
The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.
Answer:
The answers are :
The first number : 6
The second number : 2
The third number : 2
Step-by-step explanation:
The value of the variable x, y, and z will be 6, 2, and 2.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the numbers be x, y, and z.
The sum of three numbers is 10.
x + y + z = 10 …1
The first number minus the second plus the third is 6.
x – y + z = 6 …2
The first minus the third is 2 more than the second.
x – y = z + 2 …3
Add equation 1 and 3, we have
x + x + z = 10 + z + 2
2x = 12
x = 6
Subtract equation 2 from 1, we have
2y = 4
y = 2
Then the value of z will be
6 + 2 + z = 10
z = 2
More about the linear system link is given below.
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a toy car can go 3 mph. How long would it take to go 4 mph
Answer:
1 hour
Step-by-step explanation:
mph means miles per hour so in 1 mile it would be 1 hour
A) work out (8 x 10^-3) x (2 x 10^-4). Give your answer in standard form.
B) work out (6 x 10^2) ÷ (3 x 10^-5). Give your answer in standard form.
Step-by-step explanation:
[tex]A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]
Mind helping me out a bit? (Which of the rectangular boxes shown has the greater volume?) (Will give Brainliest if you are the first person, and IF YOUR CORRECT) ^.^
Answer:
Both are equal in volume
help please~!!! how many solutions does the equation 4y − 4y − 12 = 14 − 2 have? thanks! <3 first question will be marked as brainiest <3
Answer:
No solutions
Step-by-step explanation:
The 4y and the -4y will always cancel each other out. This leaves us with
-12 = 14-2
or
-12 = 12
which is never true
what is the quotient of 3 and y? Is it 3 over y or y over 3?
Answer:
it is 3/y.
Step-by-step explanation:
the answer is 3/y because 3 comes before y in the question.
Chris deposited $445 in an account that earns 3.4% compounded annually. Find the balance in his account after 6 years.
Answer:
$535.78
Step-by-step explanation:
First find out the annual earnings. So multiply 3.4% by 445
0.034 x 445 = 15.13
That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.
15.13 x 6 = 90.78
Now add that to the initial value.
90.78 + 445 = 535.78
That's the balance in the account after 6 years...
$535.78
another one! what is 7x-8x=23? will mark brainliest!
Answer:
7x-8x=23
-1x=23
x=-23
Step-by-step explanation:
7x - 8x = 23
-x = 23
x = -23
......
The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?
Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution
Answer: 3.675 cm
Step-by-step explanation:
June was 35% more compared to May
35% of 10.5 cm = 3.675 cm in May
Which graph represents the function f(x) = log10(x) − 2? (1 point) logarithmic function passing through point 3, 0. logarithmic function passing through point negative 1, 0. logarithmic function passing through point 1, 2. logarithmic function passing through point 1, negative 2.
Answer:
logarithmic function passing through point 1, -2.
Step-by-step explanation:
f(x) = log10(x) - 2
Option: logarithmic function passing through point 3, 0 is incorrect because:
f(3) = log10(3) - 2 ≈ -1.5
Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0
Option: logarithmic function passing through point 1, 2 is incorrect because:
f(1) = log10(1) - 2 = -2
which means that option: logarithmic function passing through point 1, -2 is correct.
What is the acceleration of a toy rocket that accelerates from 10.0 m/s to 30.0
m/s in 15.0 m?
Answer:
26.67m/s²
Step-by-step explanation:
From the question we are given
Final velocity = 30m/s = v
Initial velocity = 10m/s = u
We were not given time but we were given distance = 15m
Therefore we would be using the formula:
Acceleration = v² - u²/ 2s
Where S = distance
v = final velocity
u = initial velocity
Acceleration (a) = 30² - 10²/ 2 × 15
a = 900 - 100/ 30
a = 200/30
a = 26.666666667m/s²
a = 26.67m/s²
PLEASE HELP A boat is carrying containers that weigh 1000 pounds each. Use this information to fill in the table. Then plot the ordered pairs given by the table.
Answer:
For the table, the answers are 2000, 4000, 7000. for the graph the plots will be at (2,2000) (4,4000) (7,7000)Step-by-step explanation:
A boat is carrying containers that weigh 1000 pounds each.
For the table
2 x 1000 = 2000
4 x 1000 = 4000
7 x 1000 = 7000
For the graph
2, 4, and 7 are given as your X axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.