Answer:
[tex]\frac{200}{3}[/tex] square units
Step-by-step explanation:
Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:
Set function equal to 0 and solve for x:
f(x) = 10 - [tex]\frac{3}{4}[/tex] x
0 = 10 - [tex]\frac{3}{4}[/tex] x
[tex]\frac{3}{4}[/tex] x = 10
x = [tex]\frac{40}{3}[/tex]
This means that the base length of the triangle is also [tex]\frac{40}{3}[/tex]. Now that you have the height and base length, you can
Plug values into the formula for the area of a triangle:
The area of a triangle is [tex]\frac{1}{2}[/tex] × height × base
Height = 10, base = [tex]\frac{40}{3}[/tex]
Area = [tex]\frac{1}{2}[/tex] × 10 × [tex]\frac{40}{3}[/tex]
Area = 5 × [tex]\frac{40}{3}[/tex]
Area = [tex]\frac{200}{3}[/tex]
Someone help pls need this answered in a few minutes T^T
Answer:
Cosine rule formula
[tex]a^{2} = b^{2} + c^{2} - 2bc \times \cos( a) [/tex]
*the small a in cos represents the angle
Conditions
You can only do Cosine rule if the angle is in between the 2 lengths
a^2=22^2+27^2-2(22)(27)×cos(105)
a^2=1520.477026 * so sqaure root to find a
a=38.99329462 *to 2 d.p.
a=38.99ft
Hi please help , With solution if it's ok
but if not , you can tell answer it without solution but it's better with solution ⊙﹏⊙
Thank you!
1.) Convert 2.5 hm to mm
2.) Convert 1800 cm to dam
3.) Convert 6450 m to km
4.) Convert 1.2 kg to g.
5.) Convert 4.37 dag to mg.
Answers with Method:-
1) Multiply the length value by 100,000.
[tex]2.5 \: hm = 2.5 \times 100000[/tex]
[tex] = >2.5 \: hm = 250000 \: mm[/tex]
2) For this, divide the length value by 1000.
[tex] = > \frac{1800}{1000} [/tex]
[tex] = > 1.8 \: dam[/tex]
3) For finding the approximate value, just multiply the value of length by 1.609.
[tex] = >6450 \: m = (6450 \times 1.609) \: km[/tex]
[tex] = > 10380.27 \: km[/tex]
4) Multiply the given mass value by 100.
[tex] = > 1.2 \: kg = 1.2 \times 100 [/tex]
[tex] = > 1200 \: g[/tex]
5) Multiply the given value by 10,000.
[tex]4.37 \: dag = 4.37 \times 10000[/tex]
[tex] = > 43700 \: mg[/tex]
4(3r - 8)
Simplify the expression
Gilligan sees a ship coming close to the shore he's standing on. He wants to determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90°and walks until his location (point A), point C, and point S are collinear.
Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?
(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.
The two triangles are both right triangles and are both formed by the
intersection of the lines AS and BD and are therefore similar.
Response:
(a) Yes, ΔABC is similar to ΔSDC according AA similarity postulate
(b) The distance from the ship to the shore is approximately 282.6 feet
How can similarity between the triangles used to find the distance SD?(a) Yes, Gilligan can conclude that ΔABC and ΔSDC are similar by
Angle-Angle, AA, similarity postulate.
Reason:
Angle ∠SCD in ΔSDC and ∠ACB in ΔABC are vertically opposite angles,
and they are therefore congruent by vertical angles theorem.
∠SDC = 90° and ∠ABC = 90° therefore ∠SDC ≅ ∠ABC because all 90°
are congruent.
Therefore, two angles in ΔABC are congruent to two angles in ΔSDC,
therefore, ΔABC is similar to ΔSDC according to AA similarity postulate
(b) The ratio of corresponding sides in similar triangles are equal,
therefore;
[tex]\dfrac{BC}{DC} = \mathbf{\dfrac{AB}{SD}}[/tex]
Which gives;
[tex]\dfrac{23}{130} = \dfrac{50}{SD}[/tex]
[tex]SD = \dfrac{130}{23} \times 50 \approx 282.6[/tex]
The distance from the ship to the shore, SD ≈ 282.6 ft.Learn more about triangle similarity postulates here:
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Which of the following is an integer?
3/2?
Answer:
3/2 is not a interger a interger is any number that does not have a decmil point if we convert 3/2 to a decmil point you get 1.5 which has a desmil point
no
Hope This Helps!!!
I don't know if there is supposed to be a picture, but 3/2 is not an integer, simplified it would be 1 and 1/2 which isn't a integer
fill in the blank 12___3___?22=0
How many solutions of the linear equation 5x + 3y = -5 has ?
Answer:
You can solve it yourself
Step-by-step explanation:
By using demos graphing calculator
Evaluate the given expression 2/3+1/9=
The width of a rectangle is 4n-2.5 feet and the length is 2.5n+7 feet. find the perimeter of the rectangle
Answer:
P=13
Step-by-step explanation:
Solution:
P=2(l+w)=2·(2.5+4)=13
What is 2 times 2?
Thanks if you would or could help its for math class
Answer:
the answer is 4
Step-by-step explanation:
if you multiply 2 x 1 = 2 then multiply 2 x 2 = 4 add two two times
plsss help!!!!! #1 #2
Step-by-step explanation:
#1Area of parallelogram:
A = bh = 5*14 = 70 in²#2Area of parallelogram:
A = bh = 17*8 = 136 in²Marie pays $19.75 per month for her phone service and spends an
average of $6.00 per month for long-distance calls. How much does her
phone service cost her in all each year?
a. $309
b. $91.75
c. $237
d. $312
Look at the triangles shown below.
What is the value of b?
A)6
B)27T3
C)зVT3
D) 3V14
Applying the leg rule, the value of b in the triangles is: C. 3√13.
What is the Leg rule?The leg rule states that where the altitude of a right triangle bisects its hypotenuse, then, hypotenuse/leg = leg/part, of the right triangle.
Given:
Hypotenuse = 4 + 9 = 13
Leg = b
part = 9
Thus:
13/b = b/9
Cross multiply
b² = 9 × 13
b = √(9 × 13)
b = 3√13
Thus, applying the leg rule, the value of b in the triangles is: C. 3√13.
Learn more about the leg rule on:
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Marty has saved $63. He spent $3 on a video rental. Write a ratio as a fraction in simplest form to represent what portion of his savings he has left.
Answer:
60/63, 60 : 63
Step-by-step explanation:
63 - 3 = 60
60 is left over. The total amount is 63
Therefore 60/63
HELP ME PLEASEEEEEEEEE
Answer:
The answer is a.
Step-by-step explanation:
M < 7
Hope that helps!
*PLEASE HELP* *ANY IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*
After 30 baseball games, Bryce Harper had 25 hits and after 100 games he had 165 hits. How many hits would he have after 106 games?(include units)
Answer:
67.307
Step-by-step explanation:
30×25=750
100×80=8000
750+8000=8750
8750/130=67.307... total hits divided by total games
Take two points
(30,25)(100,165)Equation of line in two points form
[tex]\\ \rm\hookrightarrow y-y_1=(y_2-y_1/x_2-x_1)(x-x_1)[/tex]
[tex]\\ \rm\hookrightarrow y-25=(\dfrac{165-25}{100-30})(x-30)[/tex]
[tex]\\ \rm\hookrightarrow y-25=(\dfrac{140}{70})(x-30)[/tex]
[tex]\\ \rm\hookrightarrow y-25=2(x-30)[/tex]
[tex]\\ \rm\hookrightarrow y-25=2x-60[/tex]
[tex]\\ \rm\hookrightarrow y=2x-35[/tex]
Put 106 in place of x[tex]\\ \rm\hookrightarrow y=2(106)-35=177hits[/tex]
Solve the equation.
-1 2/7 ÷ 1 13/14 =
Answer:
-4/13
Step-by-step explanation:
just using your calculator and you can get the answer.
Rhianna is baking a cake and some cookies for a party. She used cups of flour for the cake. For each tray of cookies, she needs cups of flour. She decides to use at least 15 cups of flour for the cake and the cookies.
Assuming she can make fractional trays of cookies, how many trays, x, can she make? Select the inequality that includes the minimum number of trays of cookies Rhianna can make.
Answer:
x > 15
Step-by-step explanation:
At least means that x will be greater than 15 so it is x > 15.
3 bells ring at intervals of 3, 6, and 8 minutes. If they all rang together at
3:00, what time will they ring together again?
Answer:
The next they will ring again is after 8 hours.
Step-by-step explanation:
Find the least common multiple of 3,6 and 8:
3,6,9,12,15,18,21,24
6,12,18,24
8,16,24
The least common multiple is 24 so all 3 bells will ring together every 24 minutes.
answer: 3:24
One week, Steph worked 20 hours, Marco
worked 12 hours, and Destiny worked 32 hours.
How much did the owner, Layla, pay herself?
Answer: 9
Step-by-step explanation:
Add 20, 12, and 32 together then divide by 7 because it says "One week" and a week is 7 days. So, it should be like 20 +12 + 32= 64
64 / (divided by) 7 = 9
The number of daily work hours, if in One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours, is 9.1 hours.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours,
Calculate the total time of work as shown below,
The total time = 20 + 12 + 32
The total time = 64 hours in a week
Calculate the daily work time as shown below,
Daily work time = 64 / 7
(1 week = 7 days)
Daily work time = 9.1 hours
To know more about division:
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The complete question is: One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours. Find the total work time in a day?
9.) 6 less than twice a number is less than or
Write inequality and for problem
equal to 10.
Answer:
Write inequality and for problem
equal to 10.
Help please this is maths and answer in
1.
2.
3.
4
Thanku
Answer:
A.) The School Room: $1026
All Class: $955
B.) All Class is cheap by $31
Step-by-step explanation:
Given;The School Room
Chairs = $38Desks = $174Delivery = $26All Class
Chairs = $36Desks = $168Delivery = $35A.)Jack wants to buy 8 chairs and 4 desks
If he buy from The School Room then,
8(38) + 4(174) + 26
304 + 696 + 26 = $1026
If Jack buy furniture from The School Room then it costs $1026
If he buy from All Class then,
8(36) + 4(168) + 35
288 + 672 + 35 = $955
If Jack buy furniture from All Class then it costs $955
B.)
If we compare both shop then,
$1026 – $955 = $31
All Class will be cheap for Jack by $31
-TheUnknownScientist 72
A 10-foot tree casts a 17-foot shadow directly down a slope when the angle of elevation of the sun is 42o (see figure). Find , the angle of elevation of the ground (to the nearest tenth of a degree). (A calculator is needed for this problem)
Answer:
The angel of this elevation is 30.5°
Step-by-step explanation:
...
Consider U = {x|x is a real number}. A = {x|x ∈ U and x + 2 > 10} B = {x|x ∈ U and 2x > 10} Which pair of statements is correct? 5 ∉ A; 5 ∈ B 6 ∈ A; 6 ∉ B 8 ∉ A; 8 ∈ B 9 ∈ A; 9 ∉ B
8 is not an element of set A since all the elements must be greater than 8. 8 ∉ A is correct.
Sets and valuesGiven the following set of values
U = {x|x is a real number}
A = {x|x ∈ U and x + 2 > 10}
B = {x|x ∈ U and 2x > 10}
The equivalent elements of the sets are:
U = {real numbers}
A = {x > 8}
B = {x > 5}
From the set above, we can see that 8 is not an element of set A since all the elements must be greater than 8.
Learn more on sets here: https://brainly.com/question/13458417
It's C. 8 ∉ A; 8 ∈ B
Write 3 1/5 as a decimal
Answer:
3.2
Step-by-step explanation:
3 1/5 = 3 + 1/5
Calculate 1/5: 1/5 * 20/20 = 20/100 = 0.2
3 + 0.2 = 3.2
Hope this helps :)
Have a great day!
Jennifer walked 1/8 of a mile and then ran 1/4 of a mile how much farther did she run then walk
Work Shown:
1/4 = 2/8
1/4 - 1/8 = 2/8 - 1/8 = (2-1)/8 = 1/8
She ran 1/8 of a mile further than she walked.
Which table represents a linear function?
Answer:
Find the slope for each of the points in the table. If all the slopes equal each other, the table represents a linear function. If not, then it's the opposite.
Step-by-step explanation:
(You didn't post the full picture, but I'll try to make sense of your problem and answer anyways.)
A linear function, or a line, has a constant slope. This means that no matter where you are on the line, it was always be "rising" some y and "running" some x. It will never be fluctuating in slope or anything like that because it's a line, not a curve, not a zigzag, etc. Just a line.
How do we observe this in tables? Well, remember that the slope m can be found with the following formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where (x1, y1) and (x2, y2) are two points on a line.
So, we can show that all these points have equal slopes to see if they form a line. For example, let's look at the table shown in the picture. We have five points, so let's find the slope for two of them at a time.
First, let's find the slope between (1, 5) and (2, 20).
[tex]m=\frac{20-5}{2-1} \\m=\frac{15}{1} \\m=15[/tex]
The slope between these two points is 15.
Now, let's find the slope between (2, 20) and (3, 45).
[tex]m=\frac{45-20}{3-2} \\m=\frac{25}{1} \\m=25[/tex]
And the slope is ... 25? This can't be right!
Well, it is. This means that these three points can't all form a line, and therefore, all of these points can't form a line. So, the table shown in the picture does not represent a linear function. Do this for the other tables in the question, and you got yourself your answer.
Pam went on a quiz show. The questions in the first round were worth 4 points. The questions in the second round were worth 6 points. Pam answered a total of 14 questions and earned 66 points. How many questions did she answer in each round?
Answer:
lala i dont really know aaa
What is the value of x?
Enter your answer in the box
Check the picture below.
1. If 15 apricots cost R5,60, how many apricots will cost R10,08?
2. How much will it cost for 1kg of polony if 0,35 kg of polony costs R25,10?
3. If 12,5 kg of sugar cost R90, how much will 7,2 kg of the sugar cost?
4. A scooter uses 6,5ℓ petrol to travel a distance of 130 km. How much petrol will it use to travel a distance of 80km?
5. Peter used 5ℓ of paint to paint a wall that is 8 m long and 5m high. How many square metres can Peter paint with 1ℓ of paint?
1- 27 apricots will cost R10.08.
2- 1 kg of polony will cost R71.71.
3- 7.2 kg of sugar cost R51.84.
4- It will use 4 liters of oil to travel a distance of 80km.
5- Peter can paint 8 square meters with 1 liter of paint.
Calculus
To answer the questions made, the following calculations must be made:
1. If 15 apricots cost R5.60, how many apricots will cost R10.08?
5.60 = 1510.08 = X10.08 x 15 / 5.60 = X151.2 / 5.6 = X27 = XTherefore, 27 apricots will cost R10.08.2. How much will it cost for 1kg of polony if 0.35 kg of polony costs R25.10?
0.35 = 25.101 = X25.10 / 0.35 = X71.71 = XTherefore, 1 kg of polony will cost R71.71.3. If 12.5 kg of sugar cost R90, how much will 7.2 kg of the sugar cost?
12.5 = 907.2 = X7.2 x 90 / 12.5 = X648 / 12.5 = X51.84 = XTherefore, 7.2 kg of sugar cost R51.84.4. A scooter uses 6.5ℓ petrol to travel a distance of 130 km. How much petrol will it use to travel a distance of 80km?
130 = 6.580 = X80 x 6.5 / 130 = X520 / 130 = X4 = XTherefore, it will use 4 liters of oil to travel a distance of 80km.5. Peter used 5ℓ of paint to paint a wall that is 8m long and 5m high. How many square meters can Peter paint with 1ℓ of paint?
8 x 5 = 4040 / 5 = 8Therefore, Peter can paint 8 square meters with 1 liter of paint.Learn more about calculus in https://brainly.com/question/26453068