t - 5w = 3j solve for t (literal equations)
Geometry Help
1. The vertex angle of an isosceles triangle is always acute. (True/False)
2. The base angles of isosceles triangles are always complementary.(True/False)
3.All of the sides of an isosceles triangle are always congruent. (True/False)
i think the first one would be true, second true, and third one would be false... need confirmation
How do I solve this
Three times the sum of a number and six is greater than four times the number decreased by two
Final answer:
The mathematical problem is to express 'Three times the sum of a number and six is greater than four times the number decreased by two' as an inequality, resulting in 3(n + 6) > 4n - 2, which simplifies to n < 20.
Explanation:
The question involves translating a word problem into an algebraic inequality. The problem statement 'Three times the sum of a number and six is greater than four times the number decreased by two' can be translated into the inequality 3(n + 6) > 4n - 2, where n represents the unknown number.
To solve this inequality, we would first expand the left side of the equation by distributing, resulting in 3n + 18 > 4n - 2. Then, we would get all n terms on one side and constants on the other, leading to the inequality n < 20.
Find the cost per ounce of a sunscreen made from 100 oz of a lotion that costs $1.50 per ounce and 150 oz of a lotion that costs $4.50 per ounce. (round your answer to the nearest cent.)
The net below is for a number cube. What are the three sums of the numbers on opposite surfaces of the cube?
Triangle MRN is created when an equilateral triangle is folded in half. What is the value of y?
A. 2√3 units
B. 4 units
C. 4√3 units
D. 8 units
we know that
If Triangle MRN is created when an equilateral triangle is folded in half
then
[tex]RM=\frac{1}{2}*MN[/tex]
[tex]MN=6+2=8\ units[/tex]
so
[tex]RM=\frac{1}{2}*8=4\ units[/tex]
Applying the Pythagorean Theorem in triangle MRN
[tex]MN^{2}=NR^{2}+RM^{2}[/tex]
we have
[tex]MN=8\ units[/tex]
[tex]RM=x=4\ units[/tex]
[tex]NR=y[/tex]
substitute
[tex]8^{2}=y^{2}+4^{2}[/tex]
solve for y
[tex]y^{2}=8^{2}-4^{2}[/tex]
[tex]y^{2}=48[/tex]
[tex]y=\sqrt{48}=4\sqrt{3}\ units[/tex]
therefore
the answer is the option C
[tex]4\sqrt{3}\ units[/tex]
Answer:
The correct option is C.
Step-by-step explanation:
It is given that triangle MRN is created when an equilateral triangle is folded in half.
It means original equilateral is triangle MNO and NR is a perpendicular bisector. The side length of the triangle is
[tex]MO=NO=MN=MS+SN=2+6=8[/tex]
Since NR is a perpendicular bisector, therefore
[tex]RM=\frac{MO}{2}=\frac{8}{2}=4[/tex]
Using Pythagoras property in triangle MNR,
[tex]MR^2+NR^2=MN^2[/tex]
[tex]4^2+y^2=8^2[/tex]
[tex]y^2=64-16[/tex]
[tex]y=\sqrt{48}[/tex]
[tex]y=4\sqrt{3}[/tex]
Therefore option C is correct.
The midpoint of a segment is (6,−4) and one endpoint is (13,−2). find the coordinates of the other endpoint.
Geometry help please
area = 1/2 base x height
1/2 x 20 x 5 = 50
answer is B 50
Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?
Answer with Step-by-step explanation:
We are given that:
Half of the product of two consecutive numbers is 105.
Let smaller number be n
Then, larger number will be n+1
[tex]\dfrac{1}{2}n(n+1)=105[/tex]
Multiplying by 2 on both sides, we get
n(n+1)=210
n²+n=210
n²+n-210=0
On splitting the middle term
n²+15n-14n-210=0
n(n+15)-14(n+15)=0
(n-14)(n+15)=0
either n-14=0 or n+15=0
either n=14 or n= -15
When n=14, n+1=15
when n= -15, n+1= -14
Hence, equation used to solve for n was:
[tex]\dfrac{1}{2}n(n+1)=105[/tex]
Which answer is equal to i^39
i
1
−1
−i
Answer:
i
Step-by-step explanation:
stays postive
The Pythagorean formula is c^2 = a + b.
true
false
false.
the Pythagorean formula is c^2 = a^2 + b^2
Find the equation of the tangent line to the curve 4x3+2y2−11=4xy−x at the point (−1,2).
A population of rabbits triples every month. The population starts with two rabbits. How many rabbits are there after three months?
A minor league baseball team plays 117 games in a season. if the team won 13 more than 3 times as many as they lost. how many wins and losses
Use the number line below to find the midpoint of AD
If a is divisible by b, then a divided by ÷b has a remainder of
What's the answer to 1/6d+2/3=1/4(d-2) and can someone explain/work this out with me?
Vivian solved an equation. she showed all her steps and got the correct answer. what kind of reasoning did vivian use to solve the equation? convenient inductive predictive deductive
The type of reasoning that Vivian used into solving the equation is the deductive. This type of reasoning is able to describe on how the equation is done and this could be seen in the given scenario above as she was able to show the steps in obtaining the correct answer.
What Do You Call It When Police Interrogate a Cow's Husband? *the answer isn't " Question-a-bull** && the answer is 12 letters long
The key in this problem is to find the answer in each number and then cross out the box containing that solution. Here are the following answers with their corresponding letters that need to be crossed out.
1 . 12 LK
2. 9 AM
3. -8 ST
4. -15 SH
5. 33 IN
6. -36 OO
7. 44 OP
8. 14 CO
9. 27FT ME
10. 23 ED
11. $580 WS
12. 11 DEGREES CELSIUS TO
13. 29 IT
14. -35m JA
After crossing out those letters, the answer for what do you call a when a policeman interrogate a cow's husband is QUESTIONABLE.
What is x in 7x+2x-5=0
The distance formula is d=r/t. how long will it take (in hours) to travel 100 miles at a rate of 22mph? Show all work.
divide the distance ( 100 miles) by the speed ( 22 mph) to get the time
100/22 = 4.545454 hours (Round to 4.5 hours ?)
if you need hours and minutes multiply 0.545454 by 60 to get the minutes
4 hours 32.7 ( round to 33) 4 hours and 33 minutes
Find the mode of this data set: 3, 3, 4, 8, 5, 8, 1, 6, 7.
Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.
Answer: ( x - 4 )² = 25
The solutions to the quadratic equation
x2 – 8x – 9 = 0. are
-1 and 9
he editors found that 0.0016 of the words in the book were misspelled. if there were 250,000 words in the book how many words were spelled properly
Write an equation of the line containing the point (3,5)and perpendicular to the line 2x- 3y
Answer:
The equation of the line would be y = -3/2x + 19/2
Step-by-step explanation:
First we need to solve the original equation for y so that we can find the slope.
2x - 3y = 0
-3y = -2x
y = 2/3x
So since the equation has a slope of 2/3, we know the perpendicular slope would be -3/2 (since perpendicular slopes have opposite and reciprocal slopes). Then we can use this and the ordered pair in point-slope form.
y - y1 = m(x - x1)
y - 5 = -3/2(x - 3)
y - 5 = -3/2x + 9/2
y = -3/2x + 19/2
You lose 3 pounds per week on your new diet. What integer represents the change in your weight after 3 weeks
what is thr difference between dividing 16 by 2 and finding the square roots of 16?
The difference between them is 4
Difference between both operationsTo solve this, let us find the value of 16 by 2
[tex]\frac{16}{2} = 8[/tex]
What is the square root of 16?
The square root of 16 is given as
[tex]\sqrt{16} = 4[/tex]
The difference between dividing 16 by 2 and square root of 16 is
[tex]8 - 4 = 4[/tex]
The operations which we performed are
[tex]\frac{16}{2}[/tex][tex]\sqrt{16} = 4[/tex]And the difference between them is 4.
Learn more on mathematical operations here;
https://brainly.com/question/10873737
The number of cars (c) in a parking lot increases when the parking fee (f) decreases. Write the correct equation for this scenario, and solve for the number of cars when the fee is $6. Fee Cars 20 15 30 10
A limousine service determines that its per-mile cost is $.36 and that it incurs $48 in miscellaneous expenses for each reservation.The service charges $3.56 per mile. What number of miles represents the break-even point?