Answer:
[tex]\frac{1}{4}[/tex] or [tex]0.25[/tex] (they're the same)
Step-by-step explanation:
First Part:
[tex]4^{3} = 64[/tex] [tex]8^{2} = 64[/tex] [tex]2 = 2[/tex] Multiply them together: 64 × 64 × 2 = 8192Second Part:
[tex]2^{7} = 128[/tex] [tex]16^{2} = 256[/tex] Multiply them together: 128 × 256 = 32768Wrap it all up:
8192 ÷ 32768 = 0.25 = 1/4I hope this helps!
Hannah's bill at the restaurant $37.26 she left a tip of 18% what was the tip amount please round your answer to the nearest hundredth.
Answer:
6.71
Step-by-step explanation:
It would be 37.26*18/100.
so, around 6.71
part b would be 37.26+6.71=$43.97
If 9x + 80= 890 then what is x?
I'm taking a test tomorrow but I'm bad at this stuff. Please help me!
Answer:
x = 90
Step-by-step explanation:
9x + 80 = 890 ( subtract 80 from both sides )
9x = 810 ( divide both sides by 9 )
x = 90
Sal was asked by his teacher to
compare the numbers 153.098 and
153.408. Which is the correct way to
compare these two numbers?
A. 153.098 > 153.408
B. 153.098 = 153.408
C. 153.408 < 153.098
D. 153.408 > 153.098
Answer:
153.098
153.408
When we look at these numbers, we want to see which one has the greatest digit.
Shown below, I'm going to compare both numbers and start from the hundreds place and gradually go further into the other digits until we've seen which number is the greatest.
153.098:
1
153.408:
1
153.098:
15
153.408:
15
153.098:
153
153.408
153
153.098:
153.0
153.408
153.4
Now, we can automatically know that 153.408 is the greatest because the 4 in the tenths place is bigger than 0 in the tenths place in the other number.
So 153.408 > 153.098, D is your answer.
4. Is the following triangle truly a right triangle? (HINT: Does a^2 + b^2 = c^2?
25 points
TRUE, the Pythagorean Theorem is satisfied
FALSE, the Pythagorean Theorem is not satisfied
Answer:
not a right triangle in maths
Step-by-step explanation:
FALSE, the Pythagorean Theorem is not satisfied
but true in real life, i mean the shape
Ollie has installed security lights on the side of his house that are activated by a sensor. The sensor is located at point C directly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m and the distance from B to C is 6 m. Angle AĈB is 15°.
Answer:
20.19°
Step-by-step explanation:
Find the diagram to the question attached. We are to look for <CAB
Applying sine rule on ΔABC:
[tex]\frac{4.5}{sin15^0} = \frac{6}{sin<CAB}[/tex]
cross multiply
[tex]4.5 * sin<CAB =6 sin15^0\\\\sin<CAB = \frac{6sin15^0}{4.5}\\ \\sin<CAB = \frac{6*0.2588}{4.5}\\ \\sin<CAB = \frac{1.5529}{4.5}\\\\sin<CAB = 0.3451\\\\<CAB = sin^{-1}0.3451\\[/tex]
[tex]<CAB = 20.19^0\\[/tex]
Hence the angle <CAB is 20.19°
The angle ∠CAB is 20.19° and the distance (d) Ollie is from the entrance to his house when he first activates the sensor is 5.77 m.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Ollie has installed security lights on the side of his house that is activated by a sensor.
The sensor is located at point C directly above point D.
The area covered by the sensor is shown by the shaded region enclosed by triangle ABC.
The distance from A to B is 4.5 m and the distance from B to C is 6 m.
The angle ACB is 15°.
The ∠CAB is ∠A.
We know that the sine rule
[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} = \dfrac{c}{\sin C}[/tex]
We have
[tex]\dfrac{AB}{\sin C} \ \ = \dfrac{BC}{\sin A} = \dfrac{AC}{\sin B}\\\\\\\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} = \dfrac{b}{\sin B}[/tex]
From the first two, we have
[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} \\\\\sin A = \dfrac{6}{4.5} \times \sin 15^o\\\\A \ \ \ \ = 20.19^o[/tex]
We know that the sum of the angle is 180 degrees. Then we have
∠A + ∠B + ∠C = 180°
20.19° + ∠B + 15° = 180°
∠B = 144.81°
Then the value of b will be
[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{b}{\sin 144.81^o}\\\\\\b \ \ \ = 10.02[/tex]
Then the distance (d) Ollie is from the entrance to his house when he first activates the sensor will be
d = b × sin 144.81°
d = 10.02 × sin 144.81°
d = 5.77 m
More about the trigonometry link is given below.
https://brainly.com/question/22698523
what is the property for this one?
For reason 3, look at how we got from step 2 to step 3.
In this case, we combined like terms or simplifies the left side.
So the reason for statement 3 is simplifying.
For statement 4, we look at how we got from step 3 to step 4.
Notice that we subtracted the same quantity, -12x, from both sides of the
equation and this is the subtraction property of equality.
For statement 5, we look at how we got from step 4 to step 5.
Here, we added the same quantity to both sides
and this is called the addition property of equality.
Finally, we use the division property of equality,
to get the final solution to the equation, x = 2/3.
Marina babysits her neighbors' kids once a week and earns $40 each night. She loves coffee so she treats herself three times a week by buying a $5 latte at her favorite coffee shop. Marina wants to buy a new laptop for herself which will cost $800 and has already saved $200. If she continues her spending habits, how many months will it take Marina to save enough money to buy the laptop?
Answer:
24weeks
Step-by-step explanation:
So if she spends 5$ three times a week she spends 15$ a week
She babysits once a week for 40$
That means that she saves 25$ from babystitting each week
As she already has saved 200$, she only lacks 600$ for the purchase
600$ / (25$/week) = 24 weeks
If she stops buying coffee it will instead only take her 15 weeks to buy a new laptop
Harold bought an antique clock for £1200 The clock increased in value by 8% per year. Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £. £.........
Answer:
1200times 3 =4800 thanks for asking
Two squares have sides of 3 & 6. what is the ratio of their perimeter
Answer:
Step-by-step explanation:
Square with side (s) = 3
P = 4s
s = 3
P = 4*3
P = 12
Square with side (s) = 6
P = 4s
s = 6
P = 4 * 6
P = 24
Answer
It is asking for the ratio of P(with side = 3)/ to P(with side = 6)
P(3) /P(6) = 12/24 = 1/2s(3) / s(6) = 3/6 = 1/2So the perimeter ratio is 1/2
The side ratio is 1/2
They are the same.
what is the exponent on 10 when you write 41200 in scientific notation
Answer:
41200 in scientific notation = 4,1 . 10⁴
Answer:
The exponent is 4
[tex]4.12[/tex] × [tex]10^{4}[/tex]
Step-by-step explanation:
Hope this helps
Can someone help me with 9a+3a+b-3a for homework?
Answer:
9a+b
Step-by-step explanation:
write an equation of the line with the given conditions (2,1); slope 0
Answer:
point slope form: y-1=0(x-2) or Slope-Intercept form: y=x-1
Step-by-step explanation:
help?? and what do I shade lol
Answer:
3657$
Step-by-step explanation:
You're supposed to enter numbers there I believe, in which case if 23 people payed 159 dollars for a ticket each that would be an equation that looks something like 159*23 which would bring you to the answer of 3657. maybe just put 0s in the first 2 boxes to fill it out.
Write an expression for the premeter of the triangle below.
P = sum of the sides
P = 1,8k - 5 + (3,5 + 6,1k) + (k + 1,5)
= 1,8k + 6,1k + k - 5 + 3,5 + 1,5
= 8,9k
Karen made 17-3 quarts of punch for her son and 11
her daughter. How many quarts of punch did she make in total?
115
quarts for
Answer:
186.3 quarts of punch
Step-by-step explanation:
175+11.3=186.3
It asks how much did she make in total, so you would need to add the 2 together to get the total. Hope this helps!!
What is the ratio of 0.09 to 2.7?
Answer:
Look at the relationship.
2.7 is 30 times larger than 0.09 (2.7 / 0.09 = 30)
So the ratio is 0.09:2.7 = 1 :30
please help ♥️♥️♥️♥️
Given that y = 7 cm and I = 37°, work out I rounded to 1 DP.
у
x
09
The diagram is not drawn accurately.
Step-by-step explanation:
simply use trigonometric formula
sin (x)= perpendicular/ hypotenuse
If the diagonals in a rhombus are 8 and 6 then the perimeter is
a) 16
b) 18
c) 20
d) 22
Answer:
20 (units)Step-by-step explanation:
If the diagonals in a rhombus are 8 and 6 then the perimeter is
a) 16
b) 18
c) 20
d) 22
the regular rhombus is formed by 4 right triangles, 1/2 of the diagonal is the cathetus.
8 : 2 = 4
6 : 2 = 3
find with Pythagoras the side of the rhombus
s = √(4² + 3²)
s = √(16 + 9)
s = √25
s = 5
now we find the perimeter by adding the 4 sides
5 + 5 + 5 + 5 = 20
Does dilations increase the length of line segment is true or false ?
Answer:
false
Step-by-step explanation:
Dilations increase the measure of angles. Dilations of a triangle are similar to the original triangle.
Pls answer i will mark u brainlist
please solve any four questions of these 10 questions
Answer:
Step-by-step explanation:
PLEASE HELP!!!OR I WILL GET SIELNT LUNCH.7th GRADE LEVEL HOMEWORK
1 QUESTION.
BRAINLIEST FOR CORRECT ANSWER!
Which statement below best describes the graph shown.
A) the amount of money a car salesman makes weekly
B) the distance you ride your bike if you ride at a speed of 5 mph
C) the height of a tennis ball thrown in the air
D) the height of a sunflower that grows 0.5cm per week
Answer:
A
Step-by-step explanation:
the chart shows a line that going up vastly by large margins.
A boat has a speed of 18 km/hr in still water. In a particular river, it takes 2 hours more to go 32 km upstream than to return to the same spot. What is the speed at which the water is flowing in the river?
Step-by-step explanation:
I wrote the answer on the paper
After speaking with a Fisker representative, Eddie asks about a leasing option. He is offered a three year lease with payments of $415 plus $2000 payment at the beginning of the lease. What is the total cost of the lease?
Answer:
$3,245
Step-by-step explanation:
Assuming that the $415 is paid yearly, Eddie has to pay a total of $3,245.
2,000 + (415 x 3)
2,000 + 1,245
2,000 + 1,245 = 3,245
a pharmacist found at the end of the day she had 7/4 as many prescriptions for antibiotics as tranquilizers. she had 77 prescriptions altogether. how many did she have for tranquilizers?
Answer:
44 tranquilizers
Step-by-step explanation:
The reciprocal of 7/4 is 4/7 so if you multiply 77 by 4/7 you will get 44.
Determine which of the following are the solutions to the equation below.
x2 = 13
Answer:
I think its A
Step-by-step explanation:
x=√13 I think it is that one makes sense
Answer:
A.)
Step-by-step explanation:
First you need to take the square root from both sides to isolate x. Since you cannot find an exact decimal answer for the square root of 13 you leave it as + or - [tex]\sqrt{13\\}[/tex].
The circle graph shows the results of a survey by a bakery on which of their new products 69 customers preferred most. How many customers preferred bread? Round your answer to the nearest whole number.
The circle graph is used to show the preference of each customer
32 customers preferred bread
How to determine the number of customers?From the question, we have:
Bread = 47%
Total customers = 69
So, the number of customers that preferred bread is:
Bread = 47% * 69
Evaluate the product
Bread = 32.43
Approximate
Bread = 32
Hence, 32 customers preferred bread
Read more about circle graphs at:
https://brainly.com/question/24461724
WILL MARK BRAINLIEST FOR THE FIRST ANSWER! And I really need this answer quickly!!
Classify
Because {{{no}}} sides are marked as {{{congruent}}} in this figure, the classification {{{by}}}{{{ sides}}} is {{{scalene}}}.