Step-by-step explanation:
the scale factor is 1 : 150
you don't know what that means ?
it means that every unit (here cm) in the diagram corresponds in reality to 150 units.
so, 1 cm in the diagram is 150 cm in reality.
therefore we only need to multiply the sizes in the diagram by 150, and we get the real sizes.
length : 5 × 150 = 750 cm (7.5 m)
breadth : 3 × 150 = 450 cm (4.5 m)
and the perimeter is as for every rectangle :
2×length + 2×breadth = 2×750 + 2×450 = 1500 + 900 =
= 2400 cm (24 m)
Please somebody help me with this
Answer: call 911
Step-by-step explanation: call 911
5c + 7c simplify fytdtdecxsts
Answer:
12c
Step-by-step explanation:
Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.
In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:
5c + 7c = 12c
12c is your answer.
~
Hemp bell bell help math
Answer:
This is indeed a function!
Step-by-step explanation:
expand the following 8(x-3)
Answer:
8x-24
Step-by-step explanation:
First you do:
8×x which is 8x
Then you do:
8×-3 which is -24
Then you put it into 1 expression:
8x-24
Answer:
8−24
Thank You!
(-7,-4) (-11,-2) slope
Answer:
1/3
Step-by-step explanation:
-2-4 = -6
-7-11 = -18
Can someone help me? Will make brainiest :)
Answer:
D
Step-by-step explanation:
BH is perpendicular to AC since an orthocenter is a point at which the three altitudes of a triangle intersect. The altitude of a triangle is that line that passes through its vertex and is perpendicular to the opposite side. Since you know that BH is an altitude due to Point H being an orthocenter, you know that BH is perpedendicular to AC.
please helppppppppppppp ASAP. please ensure to use step by step explanation. thanks.
I'll do the first two parts to get you started.
=====================================================
Part (i)
We can show that the operation [tex]\nabla[/tex] is not commutative by picking two random and different real numbers for a,b. In other words, I'm using a counter-example.
Let's say we go for a = 1 and b = 2
[tex]a \nabla b = \frac{3a+b}{5} - 1\\\\1 \nabla 2 = \frac{3*1+2}{5} - 1\\\\1 \nabla 2 = \frac{5}{5} - 1\\\\1 \nabla 2 = 1 - 1\\\\1 \nabla 2 = 0\\\\[/tex]
Now let's swap the values. We'll try a = 2 and b = 1
[tex]a \nabla b = \frac{3a+b}{5} - 1\\\\2 \nabla 1 = \frac{3*2+1}{5} - 1\\\\2 \nabla 1 = \frac{7}{5} - 1\\\\2 \nabla 1 = 1.4 - 1\\\\2 \nabla 1 = 0.4\\\\[/tex]
We can see that [tex]1 \nabla 2[/tex] and [tex]2 \nabla 1[/tex] are not the same value. In general, [tex]a \nabla b \ne b \nabla a[/tex] Therefore, the operation [tex]\nabla[/tex] is not commutative.
The only time [tex]a \nabla b = b \nabla a\\\\[/tex] is true is when [tex]a = b[/tex], since,
[tex]\frac{3a+b}{5}-1 = \frac{3b+a}{5}-1\\\\\frac{3a+a}{5}-1 = \frac{3a+a}{5}-1\\\\\frac{4a}{5}-1 = \frac{4a}{5}-1\\\\[/tex]
It's when [tex]a \ne b[/tex] is where the operation becomes noncommutative.
Another way to arrive at the [tex]a = b[/tex] condition is to solve the original equation for either 'a' or b.
=====================================================
Part (ii)
Using the previous part as inspiration, we'll do a counter-example to show that the operation is not associative. Pick 3 random values for a,b,c. Here are the values I'll pick.
a = 1b = 2c = 3Then,
[tex]d = b \nabla c = \frac{3b+c}{5}-1 = \frac{3*2+3}{5}-1 = 0.8\\\\a \nabla (b \nabla c) = a \nabla d = \frac{3a+d}{5}-1 = \frac{3*1+0.8}{5}-1 = -0.24\\[/tex]
Next, we can say:
[tex]d = a \nabla b = \frac{3a+b}{5}-1 = \frac{3*1+2}{5}-1 = 0\\\\(a \nabla b) \nabla c = d \ \nabla c = \frac{3d+c}{5}-1 = \frac{3*0+3}{5}-1 = -0.4[/tex]
Let's compare the two outputs:
[tex]a \nabla (b \nabla c) = -0.24\\\\(a \nabla b) \nabla c = -0.4[/tex]
They don't match up, so [tex]a \nabla (b \nabla c) \ne (a \nabla b) \nabla c[/tex] when (a,b,c) = (1,2,3).
In general, the operation is not associative in R.
To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?
1, 2.5, 6.25, 15.625, ...
HELP ASAP WILL GIVE BRAINLIEST
Answer:
39.0625
Step-by-step explanation:
15.625 times 2.5= 39.0625
You're just multiplying each value by 2.5
1 times 2.5= 2.5
2.5 times 2.5= 6.25
6.25 times 2.5= 15.625
and then 15.625 times 2.5= 39.0625
6. If the net investment function is given by
I(t) = 100e0.11
calculate
(a) the capital formation from the end of the second year to the end of the fifth year
(b) the number of years required before the capital stock exceeds $100 000.
The capital formation of the investment function over a given period is the
accumulated capital for the period.
(a) The capital formation from the end of the second year to the end of the fifth year is approximately 298.87.(b) The number of years before the capital stock exceeds $100,000 is approximately 46.15 years.Reasons:
(a) The given investment function is presented as follows;
[tex]I(t) = 100 \cdot e^{0.1 \cdot t}[/tex]
(a) The capital formation is given as follows;
[tex]\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C[/tex]
From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;
[tex]\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87[/tex]
The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
[tex]\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000[/tex]
Which gives;
[tex]\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000[/tex]
[tex]\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000[/tex]
[tex]\displaystyle e^{0.1 \cdot t}} = 101[/tex]
[tex]\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15[/tex]
The number of years before the capital stock exceeds $100,000 ≈ 46.15 years.
Learn more investment function here:
https://brainly.com/question/25300925
Jimmy has 26,387
dollars for every of toys
he sells. how much
money will he make
for 10 toys?
Answer:
263,870
Step-by-step explanation:
Answer:
263,870
Step-by-step explanation:
You have 26,387 then you will multiply it by 10 and you'll get 263,870
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation . ( Will Mark Brainliest if answered correctly).
Step-by-step explanation:
I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:
1) R1 = d(O,S)
2) R2 = d(O,J)
3) R3 = d(O,M)
With O being the origin of the reference system.
*Note: d(A,B) means distance between point A and point B
After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.
After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.
Answer:
Step-by-step explanation:
Congruent
Shift right 1 unit and up 5 units
Rotate 90 degrees clockwise about (-1, 2)
Or
just rotate 90 degrees clockwise about (1, -1)
4. Out of the 75 people who baked
Christmas cookies, forty six percent
burned the cookies. How many people
burned their cookies?
Answer:
34.5 people
Step-by-step explanation:
Need a little help on this
Answer:
Step-by-step explanation:
This is an isosceles triangle. You can tell because 2 of the sides are equal and the third is not equal to either of the other two.
x + x + 56 = 180 Combine the left
2x + 56 = 180 Subtract 56 from both sides.
2x = 180 - 56
2x = 124 Divide by 2
x = 124/2
x = 62
Image attached giving 25 points please help
Answer:
Rational
Step-by-step explanation:
It isnt whole because its a decimal,
It isnt an Integer because its a decimal
It isnt natural because its a decimal
Meaning it can only be rational
If Amari had 15 apples and 14 got taken away how many would there be??
Answer:
15-14=1
Step-by-step explanation:
1 apple left
Answer:
1 apple
Step-by-step explanation:
15-14=1
Hope the helps!
A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight?
Answer:
Step-by-step explanation:
65%
Step-by-step explanation:
Given: Full capacity= 200000 litres
Amount of fuel used during flight= 130000 litres
Now, finding percentage of fuel used on the flight.
∴ Percentage of fuel used=
Solving it, we will get
∴ 65% of fuel capacity been used in this flight.
Answer:
65%.
Step-by-step explanation:
(130,000/200.000) * 100
= 0.65 * 100
= 65%.
1) Use the distributive property to write an expression that is equivalent to 8(a + 4).
8(a + 4) = _a + _
Manny has a garden that is 12 feet long and 9 feet wide. What is the perimeter of
Manny's garden?
Use the formula for perimeter, P =
2 (1 + w).
432 feet
O 33 feet
O 42 feet
216 feet
Answer:
42 ft
Step-by-step explanation:
2(L + W ) = P
2 (12 + 9) = P
2 (21) = P
42 = P
P = 42
Rewrite this equation in Slope-intercept form
(PLEASE SHOW ALL WORK)
The set-up cost for a machine that attaches snaps on clothing is $1,100. After set-up,
it costs $0.12 for each snap to be attached. A newer machine has come out that has
a set-up cost of $1,520. With the new machine, it only costs $0.09 for each snap to
be attached. How many snaps would the company have to attach to make the
purchase of the newer machine worthwhile?
Answer:
14,001
Step-by-step explanation:
old machine: 1,100+.12x
new machine: 1,520+.09x
if you plug in 14,000 for x, you get
old machine: 2,780
new machine: 2,780
therefore, you need 1 over 14,000 for it to be worth it because
if you plug in 14,001 for x, you get
old machine: 2,780.12
new machine: 2,780.09
which makes the new machine $.03 cheaper at this point (and the more snaps attached, the more the new machine will be worth it)
hope this helps!
help now plsssssssssssssssssssssssss
cheater bro wyd ur doing a diagnostic try ur best lol
A recent survey concluded that 3/4 of the teachers in a certain school district had at least 10 years of teaching experience. If there are 152 teachers in the district, approximately how many have at least 10 years of teaching experience?
Answer: 114
Step-by-step explanation:
3/4 * 152 = 3*38 =114
A manager at a restaurant can buy hamburger buns in
packages of 8 and hamburger patties in packages of 6.
Suppose that the manager cannot buy part of a package.
What is the least number of packages of each product
he can buy to have an equal number of hamburger patties
and buns?
PLEASE INCLUDE MULTIPLES OF 8 AND 6 ALL THE WAY UNTIL YOU GET A NUMBER THAT IS THE SAME ON BOTH
Answer: 24
Step-by-step explanation
8-8-16-24-32-40
6-6-12-18-24-30-36
solve this: 23.769km-----?-----m
1 km = 1000 m, so:
23,769 km = 23,769 · 1000 m = 23 769 m
Answer:
23769m
Step-by-step explanation:
Basicly, 3.769x 1000= 23769m
Please mark brainliest
SOMEBODY HELP ME NO LINKS PLEASE
18. A glasscutter needs to cut rectangular pieces of
glass to make an aquarium. How can he make sure
that the glass pieces he is going to cut are
rectangular in shape? Justify your reasoning
For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:
All four interior angles = 90° each.Opposite sides are parallel and equal to each other.Diagonals should be of the same length and should bisect each other.Properties of a RectangleAll four angles of a rectangle are 90° each.There are two pairs of parallel sides that are equal in length.The diagonals bisect each other and are of equal length.
Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:
Make the four interior angles 90° each.The opposite sides should be parallel and equal to each other.The diagonals should be of the same length and should bisect each other.Learn more about properties of rectangle on:
https://brainly.com/question/2835318
how do you write this expression in word form?
Answer:
d-7 divided by 2 or over 2
Randy can run six-tenths of a mile every 4 minutes, but it takes Julie 5 minutes. By the time Julie has run for 20 minutes, how far has Randy run?
A
1.8 miles
B
2.4 miles
C
2.6 miles
D
3 miles
Answer:
D!!!
Step-by-step explanation:
you have to make a table to see that randy has run 3 miles.!!!
Answer: D is the correct answer!
Step-by-step explanation: Like the one above me!
If you connect the points where Muntinlupa City and Teresa, Rizal are located, what is the slope of the line formed from the two given places?
Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]
Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this problem:
Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:
[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]
The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]
A similar problem is given at https://brainly.com/question/5427529
Can anyone help thanks
Answer:
First Option, log 3x is equivalent to the expression shown