The sides for which a triangle is not possible are 19 m, 34 m, 15 m. The correct option is (c).
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
The given options are considered one by one
(a) 5 m, 6 m, 8 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 8.
Since 5 + 6 > 8, the given sides can form a triangle.
(b) 10 m, 10 m, 2 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 10.
Since 10 + 2 > 10, the given sides can form a triangle.
(c) 19 m, 34 m, 15 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 34.
Since 19 + 15 = 34, the given sides cannot form a triangle.
(d) 3 m, 16 m, 14 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 16.
Since 14 + 3 > 16, the given sides can form a triangle.
Hence, the sides that cannot form a triangle are 19 m, 34 m, 15 m.
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Read the excerpt from "Healthy Eating."
If anything gets in the way of our good eating, it's lifestyle. When you get home from work late, why spend an hour in front of the stove when you can spend two minutes at the microwave? And doesn't that oatmeal box claim to be a good source of calcium for our kids, never mind the small print listing 14 grams of sugar? A small soda at the movies could satisfy a family of four. Even schools have vending machines.
What does the author think is responsible for people's poor eating habits?
A They do not know how to correctly read the nutrition information on food packages.
B They do not know how to prepare healthy meals that are both inexpensive and quick.
C They often choose foods that are quick and convenient instead of ones that are healthy.
D They spend time thinking about work and entertainment instead of thinking about food.
Step-by-step explanation:
The net price of a hand phone after allowing trade discount of 20% was RM2,000. Find what is the list price of the hand phone.
Answer:
RM1,600
Step-by-step explanation:
2000 * 0.20= 400
2000-400= 1600
i need the answer it on edge
Answer: 3x^3+2x+5
Step-by-step explanation:
I attached my written work but put simply take the value of x which in this case is -2 because x+2 also means x= -2. Then line up the coefficients next to -2 which should be in a box. So the coefficients 3, 6, 2, 9, and 10. Drop the first coefficient down which is 3 and multiply it by your x value. so the combo is multiply, add, drop. starting with 3 drop it down then multiply it by -2 to get -6. Then add -6 to the second coefficient which is 6 to get 0 so drop zero down. Then again multiply 0 by -2 to get 0 then add zero to 2 to get 2 then drop down 2. So continue till the end remmebr the only multiplication you are doing is against the x value which in this case is -2. at the end you should have 5 numbers left. Here we end with 3, 0, 2, 5, 0. So we want a zero as the last number which means we have no remainder. If the last number is not zero do not PANIC. just kidding but seriously though relax. Put the number over your expression x+2 so for example if the last number was 5 instead of zero DONT PANIC just finish your answer with 5/x+2. SO back to the 3, 0, 2, 5, 0. We add the corresponding x's to these numbers so [tex]3x^{3}+0x^{2} +2x+5[/tex] which also equals [tex]3x^3+2x+5[/tex]
y varies jointly as x, z, and w. when x=2, z=1, and w=12, then y=72. find y when x=1, z=2, and w=3
A bag contains 11 apples and 6 oranges. If you select 6 pieces of fruit without looking, how many ways can you select exactly 5 apples
Answer:
you have a 11/17 percent chance of getting an apple
Step-by-step explanation:
if there are 11 apples and 6 oranges. 11 out of 17 times you will get an apple
My dinner at San Felipe cost $8.20 before tax and $9.96 after tax. What was the sales tax rate?
*Round to the nearest whole percent.
Show Your WorK
Answer:
Sale tax rate = 21.46%
Step-by-step explanation:
Sale Tax % = ( Amount after sale tax - Original cost) ÷ original × 100
Sale Tax % = ( $9.96 - $8.20) ÷ $8.20 × 100
Sale Tax % = $1.76 ÷ $8.20 × 100
Sale Tax % = .2146341463 × 100
Sale Tax % = 21.46
plss need help, question on pic below
Polygon KLHIJ ≅ Polygon VWSTU
The following accounts appear in the ledger of Monroe Entertainment Co. All accounts have normal balances.
Accounts Payable $1,500 Fees Earned $3,600
Accounts Receivable 1,800 Insurance Expense 1,300
Prepaid Insurance 2,000 Land 3,000
Cash 3,200 Wages Expense 1,400
Drawing 1,200 Capital 8,800
Total assets are
a. $10,000
b. $9,800
c. $9,700
d. $8,000
The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.
An asset in business is defined as any form of resources owned by an individual or controlled by a business enterprise.From the given account that appears in the ledger of Monroe Entertainment Co, the assets include the account receivables, Land, and Cash.
Taking the sum of the given assets to get the total asset.
Total assets = account receivables + Land + Cash
Total assets = $ 1,800 + $3,000 + $ 3,200
Total assets = $8,000
Hence the total assets of Monroe Entertainment Co. are $8,000
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Hello there hello hello
Answer:
(-4,-7)
Step-by-step explanation:
The process of a reflection across the y axis is simply just switching the x value in (x,y) to a negative. So, (4,-7) and then make 4, a -4. So the resulting image is (-4,-7)
Answer:
Ah hello!
Step-by-step explanation:
Materials and labor for each pet groomed
costs $15. The business also has fixed costs
of $1,000 each month. Define a cost
function for this business.
Answer:
f(x) = 15x + 1,000
Step-by-step explanation:
y = mx + b
the 15 is the slope or rate and 1000 is the fixed value ( y intercept)
Where is the blue dot on the number line ?
Answer:
-12
Step-by-step explanation:
Since the segments go by 3, with each segment to the left I subtracted 3, so it was 0, -3, -6, -9, and then the blue dot stood on the segment -12, and that's your answer.
Tell me if I'm wrong :)
Answer: -12
Step-by-step explanation: The number line is going by 3's, so since the blue dot is 4 dashes away from 0 with the first dash being -3, that can only mean that the answer is -12.
Hope this helped and let me know if its correct!
-KC
HELP!!!! ME PLSSSSSSSSSSSSSSSSSSSSS
Answer:
A for the Venn Diagram and B for the chart.
Step-by-step explanation:
1. Domain: (-2, -1, 0, 2)
Range: (-4, -2, 2)
2. Domain: (-4, 2, 1, 4)
Range: (-2, 1, 4, 4)
The domain represents the values of the independent variable (x) and the range represents the values of the dependent variable (y). The values of the independent variable are inputs that result in an output in a relation. The values in the range are outputs that correspond to inputs from the independent variable.
TOT ROLIOS
-: Study Guide Ratios (Quiz 1)
Arroz Con Leche
Arroz con leche is a creamy dessert from Mexico and Spain.
Nia wants to use 6 cups of rice.
1. How much of each ingredient does she need?
Ingredients
Serves 4 people
2 cups of rice
4 cups of milk
.
cups of rice
.
cups of milk
į cup of sugar
cups of sugar
i handful of raisins
1 cinnamon stick
handfuls of raisins
cinnamon sticks
How many people will this larger batch of Arroz Con Leche serve?
Answer:
If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:
6 cups of rice
12 cups of milk
1 cup of sugar
3 handful of raisins
3 cinnamon sticks
When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche
A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Step-by-step explanation:
each department has 3 options for their representative.
and each of these options can be associated with the 3 options of the next department. and so on.
so, we have
3×3×3×3 = 3⁴ = 81
possibilities to firm that committee overall.
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer:y=2.5x+5 i thank
Step-by-step explanation:
1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin
Answer:
Second is the correct answer but i think all are correct
The picture below shows the graph of which inequality?
Answer A is correct.
Step-by-step explanation:
Negative one is less than one.
Simplify.
5x+3(x+2)+3
A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8
Answer:
A- 8x+9
Step-by-step explanation:
------------------------------------------
5x + 3 (x + 2) + 3
5x + 3x + 6 + 3
8x + 6 + 3
8x + 9
<3
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
Write the first five terms for the following recursive rule.
f(1)=7
f(n)=f(n-1)+12
Answer:
PLEASE MARK ME AS BRANLIEST!!!!!
Step-by-step explanation:
a1 = first term; an= an-1 + d a1 = the first term in the sequence an = the nth term in the sequence an-1 = the term before the nth term n = the term number d = the common difference.
{10, 15, 20, 25, 30, 35, } first term = 10, common difference = 5 recursive formula: a1= 10; an= an-1 + 5
f(n) = f(n-1) + 12
f(1) = 7
f(2) = (7-1) + 12 = 18
f(3) = (18-1) + 12 = 29
f(4) = (29-1) + 12 = 40
f(5) = (40-1) + 12 = 51
7, 18, 29, 40, 51
What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the total area of the rectangle:
21 x 12 = 252
Half of the rectangle is unshaded so:
252 ÷ 2 = 126
For clarification, side A is the top, side B is the left hand side and side C is the bottom.
Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:
21 - 14 = 7
(7 x 12) ÷ 2 = unshaded
84 ÷ 2 = 42
So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:
252 - 126- 42 = 84
Which in fraction form is:
[tex]\frac{84}{252}[/tex]
This can be simplified down by dividing both the numerator and the denominator by 3:
[tex]\frac{84 \div 3}{252 \div 3}[/tex]
=[tex]\frac{1}{3}[/tex]
Hope this helps!
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10
Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
Explanation:-
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
math
solve this pls lol
Answer:
The two triangles are related by congruent angles/similarity, so the triangles are similar.
Have an awesome day! :D
Which is the quotient for 0.9 divide by 0.75
Answer:
1.2!
Step-by-step explanation:
The value of the numerical expression 0.90 ÷ 0.75 in the decimal form will be 1.20.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
0.90 and 0.75
Then the division between the numbers 0.90 and 0.75 will be given by putting a division sign between them. Then we have
⇒ 0.90 ÷ 0.75
⇒ 0.90 / 0.75
⇒ 1.20
The worth of the mathematical articulation 0.90 ÷ 0.75 in the decimal structure will be 1.20.
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Use distributive property to remove the parentheses. Simplify your answer as much as possible please.
Answer:
28y^3 -35y^5
Step-by-step explanation:
= 7y^3(4) -7y^3(5y^2)
= 28y^3 -35y^5
_____
The applicable rule of exponents is ...
(y^a)(y^b) = y^(a+b)
what will the base b be in log 1000 = 3 make this true
Step-by-step explanation:
the base b will be 10.
because if base is not provided it means 10.
therefore if you write it in exponential form the answer comes out to be 10³=1000. therefore, 10.
hope this helps you.
the sum of three consecutive odd integers is 17 less than four times the smallest integer. find the largest integer.
PLSSS helPPP :')
Answer:
Find three consecutive integers where their sum is 17 less than four times the smallest integer. So consider any integer -- let's call it n.
7 answers
·
1 vote:
Let the smallest of those numbers be [math]n[/math], then the other numbers w
Step-by-step explanation:
is this linear or not and why
Answer:
YesStep-by-step explanation:
Both equations of this system are of degree one.
They are both linear as the graph of both is a line.
Answer:
yes
Step-by-step explanation:
The highest power of variable is 1 . So it is a linear equation of two variables .
Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7 ft
to 1 in. The dimensions of the deck are 28 ft by 17.5 ft. What are the dimensions of the deck in the
drawing? Show your work.
Answer:
The width is 2.5 inches
Step-by-step explanation:
The given ratio is 7 ft to 1 in
Now we will have 17.5 to x in
x * 7 = 17.5 * 1
7x = 17.5
x = 17.5/7
x = 2.5 inches
