Answer:
74g:148g
Step-by-step explanation:
If the yogurt portion is 3, then your answer is 148g.
You have a total of 5 portions (2+3=5). Since all portions must be equal, you can divide the total (185g) by 5. That means each portion is 37g each. To find the total weight of the yogurt, we multiply by the number of portions, either 2 or 3. That would be your result.
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
Can someone help me with 9a+3a+b-3a for homework?
Answer:
9a+b
Step-by-step explanation:
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}}}.
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
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.
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
Please help me out, I need help.
Answer:
D (-1,-3)
Step-by-step explanation:
If h(x)=-3x-6, plug in for x
-3 =-3(-1)-6
-3=3-6
-3=-3
so two negatives cancel out and get you the positive three minus six, resulting in negative 3, which is also the h(x) value.
Answer:
D
Step-by-step explanation:
Plug it in
Y=3x-6
-3=-3(-1)-6
-3=-3
please help ♥️♥️♥️♥️
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:
3:45 a.m. to 12:00 p.m.
Answer:
8 Hours 15 Minutes
Step-by-step explanation:
12:00 p.m - 3:45 a.m = 8 Hours 15 Minutes
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
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
3y +2x - 1, when y = 4 and x = 5
Answer: 21
3(4) + 2(5) - 1 = 21
Marshall works at an animal shelter. He makes sure all the cats are vaccinated. In July, 56 of the cats entering the shelter had already been vaccinated. Based on this result, he predicts that if 100 cats entered the shelter, 80 of the cats would have already been vaccinated. How many cats entered the animal shelter in July?
Answer: 70 animals
Step-by-step explanation:
Since Marshall predicted that if 100 cats entered the shelter, 80 of the cats would have already been vaccinated . This means that 80/100 = 4/5 of the animals that enter the shelter are vaccinated.
Let the animals that enter in July be y. This will be:
4/5 × y = 56
0.8y = 56
y = 56/0.8
y = 70
70 animals entered in July
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.
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
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.
(8r^2-12r+4)-(3r^2+5r-1) in standard form
Answer:
[tex]=5r^2-17r+5[/tex]
Step-by-step explanation:
[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]
[tex]\left(8r^2-12r+4\right)=8r^2-12r+4[/tex]
[tex]=8r^2-12r+4-\left(3r^2+5r-1\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(3r^2+5r-1\right)=-3r^2-5r+1[/tex]
[tex]=8r^2-12r+4-3r^2-5r+1[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=8r^2-3r^2-12r-5r+4+1[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:4+1=5[/tex]
[tex]=8r^2-3r^2-12r-5r+5[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:8r^2-3r^2=5r^2[/tex]
[tex]=5r^2-12r-5r+5[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-12r-5r=-17r[/tex]
[tex]=5r^2-17r+5[/tex]
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
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
if a number is tripled, it gives the same result as when 28 is added to it.find the number
Answer:
14
Step-by-step explanation:
let the number be y
if y is tripled we get 3y
3y = 28 + y
3y - y = 28
2y = 28
y = 14
Answer:
14
Step-by-step explanation:
Let the number be x.
Base on the given
↓ Equation ↓
3x=x+28
Solve:
3 x - x = 28
2 x = 28
x = 28/2
x = 14
Thus, The number is 14.
[RevyBreeze]
2. Find the surface area of the following figure.
8 km
-3+3.5)
8 km
tis)
7 km
8 km
8 km
Answer:
344
Step-by-step explanation:
First we are going to find the area of the top and bottom
8x8=64. Since the top and bottom are the same, we can do 64x2=128.
Now we are going to find the area of the left and right sides.
8x7=54. Since the right and left are the same, we can do 54x2=108.
Now we are going to find the area of the front side and the back side.
8x7=54. Since the front and back are the same, we can do 54x2=108.
Now we add our answers up. 128+108+108=344
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
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
Help asap
what is the measure of angle dgv?
enter your answer in the box
The measure of angle MBT as shown in the diagram is 28 degrees.
What is an angle?An angle is formed from the intersection of two or more lines. Types of angles are obtuse, acute and right angled.
From the diagram:
∠MBN = ∠MBT
17x - 6 = 5x + 18
x = 2
∠MBT = 5(2) + 18 = 28 degrees
The measure of angle MBT as shown in the diagram is 28 degrees.
Find out more on angle at: https://brainly.com/question/25770607
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.
Is -51/5 rational or irrational
Answer:
irrational
Step-by-step explanation:
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
Part 3: Construct a prism from the above regular hexagon. The height of the hexagonal prism is 5 feet. Find the surface area and the volume of this prism.
The volume of the hexagonal prism is the amount of space in it.
The surface area is 369.9 square feetThe volume is 831.4 cubic feetHow to determine the surface area?From the complete question, we have:
Length (l) = 8
Height (h) = 5
The surface area of the hexagonal prism is:
[tex]A=6lh+3l^2\sqrt 3[/tex]
So, we have:
[tex]A=6*8*5+3*5^2\sqrt 3[/tex]
Evaluate
[tex]A = 369.9[/tex]
Hence, the surface area is 369.9 square feet
How to determine the volume?The volume of the hexagonal prism is:
[tex]V = \frac{3\sqrt 3}{2} * l^2h[/tex]
So, we have:
[tex]V = \frac{3\sqrt 3}{2} * 8^2 * 5[/tex]
Evaluate
[tex]V = 831.4[/tex]
Hence, the volume is 831.4 cubic feet
Read more about surface area and volume at:
https://brainly.com/question/13175744