7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
please answer this!!!
Answer:
[tex]BC=40[/tex]
Step-by-step explanation:
Since AC is a tangent and PB is the raduis
[tex]\angle PBC= 9[/tex]
By pythagoras
[tex]PC^{2} =PB^{2} +BC^{2}[/tex]
[tex]41^{2} =9^{2} +BC^{2}[/tex]
[tex]1681-81=BC^{2}[/tex]
[tex]1600=BC^{2}[/tex]
[tex]BC=\sqrt{1600}[/tex]
[tex]BC=40[/tex]
OAmalOHopeO
Answer:
40
Step-by-step explanation:
A tangent to a circle is perpendicular to the radius intersection by definition. That makes BPC a right triangle at B. BP and PD are both equal (9) because every radius of a circle is equal. So
PC**2 = BP**2 + BC**2 or
41**2 = 9**2 + BC**2
1681 = 81 + BC**2
1681 - 81 = BC**2
1600 = BC**2
40 = BC
I need help ASAP!!! Please tell me the answer Congruent Triangle Proof
Answer:
see explanation
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
NQ is an angle bisector then ∠ MNQ = ∠ PNQ
∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then
MN = PN
----------------------------------------------
∠ MNQ = ∠ PNQ
MN = PN ( included sides between the 2 angles )
∠ M = ∠ N
Δ MNQ ≅ Δ PNQ by the ASA postulate
Answer:
Step-by-step explanation:
In Δ MNP,
∠NMQ ≅ ∠NPQ
⇒ NM = NP - ------> (I) {Sides opposite to equal angles are equal}
In ΔMNQ & ΔPNQ,
∠MNQ ≅ ∠PNQ {NQ is angle bisector}
NM = NP {from (I)}
∠NMQ ≅ ∠NPQ {Given}
ΔMNQ ≅ ΔPNQ - Angle Side Angle {ASA congruent}
algebra help pls111
Answer:
-5, 2
Step-by-step explanation:
What is the value of this expression when g = -3.5?
8 − |2g − 5|
A. 20
B. 10
C. 6
D. -4
g = -3,5
8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =
= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4
A book cost Rs.950 is sold for Rs 980. find profit/loss%
Answer:
96.94%
Step-by-step explanation:
Steps to solve "what percent is 950 of 980?" If you are using a calculator, simply enter 950÷980×100 which will give you 96.94 as the answer.
Answer:
96.94%
Step-by-step explanation:
For what values of x will the square and the rectangle is shown below have the
same perimeter?
Perimeter of square = Perimeter of rectangle
=> 4(side) = 2(length + width)
=> 4(x+5) = 2[(x+3)+(x+7)]
=> 4(x+5) = 2[x+3+x+7]
=> 4x + 20 = 2x + 6 + 2x + 14
=> 4x + 20 = 4x + 20
=> 4x - 4x + 20 = 20
=> 20 = 20
So, any real number is the solution of this equation. It means that for every real number as x, the perimeter of the square will be same as the perimeter of the rectangle.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
A. The number of women and the number of men included in the data
Step-by-step explanation:
The boxplot is a useful way to display data. It represents the distribution of data in a five-number summary. These five numbers include the minimum, first quartile, median, third quartile, and maximum. Respectfully, each line on the graph, from left to right, represents one of these numbers. However, because the graph only shows the distribution of data, it does not include the sample size.
Let f(x)=1/2|x−2|. Write a function g whose graph is a translation 7 units to the left of the graph of f.
Answer:
g(x) = -2(x - 6) - 7
Step-by-step explanation:
Sorry if I'm wrong
Will Mark Brainlest Help Please Please
Answer:
a=2
b=-3
c=2
d=0
Step-by-step explanation:
3a+b=3......1
3c-d=6.......2
a-b=5....... 3
a+b+d=2d-1
a+b=2d-d-1
a+b=d-1......4
taking equation 1 and 3 we get,
3a+b =3....... 1
a-b=5
a=5+b
substitute the value of a in equation 1 we get,
3*(5+b)+b=3
15+3b+b=3
4b=3-15
4b=-12
b=-12/4
b=-3
now putting the value of b in equation 3 we get,
a-b=5
a+3=5
a=5-3
a=2
substitute the value of a and b in equation 4 we get,
a+b=d-1
2-3=d-1
-1=d-1
d=-1+1
d=0
substitute the value of d in equation 2 we get,
3c-d=6
3c-0=6
3c=6
c=6/3
c=2
[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]
Now constructing equations
[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]
[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]
[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]
Adding eq(1) and (2)
[tex]\\ \sf\longmapsto 4a=8[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto a=2[/tex]
Put the value in eq(2)
[tex]\\ \sf\longmapsto a-b=5[/tex]
[tex]\\ \sf\longmapsto b=a-5[/tex]
[tex]\\ \sf\longmapsto b=2-5[/tex]
[tex]\\ \bf\longmapsto b=-3[/tex]
put the values in eq(4)
[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]
[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]
[tex]\\ \sf\longmapsto d-1=2d-1[/tex]
[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]
[tex]\\ \sf\longmapsto -d=0[/tex]
[tex]\\ \bf\longmapsto d=0[/tex]
Put the value in eq(3)
[tex]\\ \sf\longmapsto 3c-d=6[/tex]
[tex]\\ \sf\longmapsto 3c-0=6[/tex]
[tex]\\ \sf\longmapsto 3c=6+0[/tex]
[tex]\\ \sf\longmapsto 3c=6[/tex]
[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]
[tex]\\ \sf\longmapsto c=2[/tex]
Mark all the statements that are true please help
Step-by-step explanation:
the correct answer is option c
regroup and factorise:
x(x+2)+x+2
⇒x (x+2) + x + 2
⇒x² + 2x + x + 2
⇒x² + 3x + 2
✯ Now factorising☛ By Splitting the middle term method
⇒x² + 3x + 2
⇒x² + 2x + x + 2
⇒ x(x+2)+1(x+2)
⇒ (x+1) (x+2)
Math! Need help will give brainliest if CORRECT
Hey there! I'm happy to help!
So we want to see which of these have the greatest value. Since these are all negative numbers, we want the one that is closest to zero.
So, we know that -1000 is going to furthest from 0. -10 will be further than -8 since it is a larger negative number, so it will be more negative than -8.
-1/2 is just barely negative, so it is going to be closer to -0 than -8, so the correct answer is C. -1/2.
Have a wonderful day and keep on learning! :D
Geometry homework I need help pls pls pls
Answer:
vertex of 4 is 2
Step-by-step explanation:
cuh cuh uchuch uch uch uch
Please help asap!!!!
Answer:
1. B,D
2. D
3. C
4. J
Step-by-step explanation:
Reba wants to examine the TV-viewing habits of 18- to 25-year-old males in the United States. As it is quite impossible to include all males of this age group in her study, she selects a smaller group of 18- to 25-year old males to survey. The males included in her study are called a(n)
Answer:
Sample
Step-by-step explanation:
A sample refers to a small subset of a particular population of study. The sample must be chos n at random in other to ensure that it is representative of the entire population. In the scenario above, all males in the United States aged 18 - 25 years form the population of interest required for the study. However, due to the fact that it is impractical to include all in the study, then a smaller subset is selected form the population, which is referred to as the sample.
The sum of 4 and a number
The area of a rectangular ceiling tile is 756 square inches. The perimeter is 114 inches. What are the dimensions of the tile?
Here we need to use what we know about rectangles to make a system of equations.
By solving that system we found that the tile has a length of 36 inches and a width of 21 inches.
Remember that for a rectangle of length L and width W, the perimeter is:
P = 2*(L + W)
And the area is:
A = W*L
Here we know that the perimeter is 114 inches, then we can write:
114in = 2*(L + W)
We also know that the area is 756 in^2, then we can write:
756 in^2 = L*W
So we found two equations, which means that we have a system of two equations with two variables:
114in = 2*(L + W)
756 in^2 = L*W
To solve this, the first step is to isolate one of the variables in one of the equations, we can isolate L in the first equation:
114in = 2*(L + W)
114in/2 = (L + W)
57in = L + W
57in - W = L
Now that we have an expression equivalent to L, we can replace it in the other equation to get:
756 in^2 = L*W
756 in^2 = (57in - W)*W
Now we can solve this for W.
756 in^2 = W*57in - W^2
W^2 - W*57in + 756 in^2 = 0
The solutions are given by the Bhaskara's formula:
[tex]W = \frac{57in \pm \sqrt{(-57in)^2 - 4*1*(756in^2)} }{2*1} = \frac{57in \pm 15in}{2}[/tex]
Then the two possible values of the width will be:
W = (57in + 15in)/2 = 36 in
W = (57in - 15in)/2 = 21 in
Suppose that we choose the second solution, W = 21in
Now using the equation 57in - W = L we can find the value of L
L = 57in - W = 57in - 21in = 36in
L = 36in
Then we found that the tile has a length of 36 inches and a width of 21 inches.
If you want to learn more, you can read:
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1. demand can be said to control supply and demand.
(Consumer, Producer)
Answer:
The law of demand says that at higher prices, buyers will demand less of an economic good. The law of supply says that at higher prices, sellers will supply more of an economic good. These two laws interact to determine the actual market prices and volume of goods that are traded on a market.
Supply is generally considered to slope upward: as the price rises, suppliers are willing to produce more. Demand is generally considered to slope downward: at higher prices, consumers buy less. ... The relationship between the supply and demand for a good (or service) and changes in price is called elasticity.
a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 gallons of gas
Set A and the universal set U are defined as follows.
U={1,2,3,4,5,6)
A= {2,4,6}
Find the following sets.
Write your answer in roster form or as Ø.
Part (a)
Answer: ØThis is the empty set
------------------
Explanation:
It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.
This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.
We can write Ø as { } which is a set of curly braces with nothing inside it.
=========================================================
Part (b)
Answer: {1,2,3,4,5,6}-----------------
Explanation:
When you union the universal set with any other set, you'll get the universal set.
The rule is [tex]A \cup B = B[/tex] where I've made B the universal set to avoid confusion of the letter U and the union symbol [tex]\cup[/tex] which looks nearly identical.
Why does this rule work? Well if an item is in set [tex]\overline{A}[/tex], then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.
It's like saying
A = set of stuff inside a persons house[tex]\overline{A}[/tex] = set of stuff outside a persons house (ie stuff that is not in set A)U = set of every itemwe can see that [tex]\overline{A} \cup U[/tex] will basically form the set of every item, aka the universal set.
what is the sum of the rational expression below?
Answer:
D. [tex]\frac{9x^2+14}{18x}[/tex]
Step-by-step explanation:
Find the common denominator, 18x.
Simplify.
Add.
I hope this helps!
Answer: D
Step-by-step explanation:
Common denominator 18x
18x/2=9x.
(9x)(x) = 9x^2
18x/9x=2
(2)(7)=14
(9x^2+14)/18x
A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length of the box has been increased by 30%, the height has been increased by 20%, and the width remains the same.
By what percentage does the volume of the box increase from the regular box to the value box? Round your answer to the nearest percent.
70% - Rounded Answer
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:3
B. 1:6
C. 1:5
D. 1:1
The ratio of the number of students who went to the zoo to the number of students who did not go to the zoo is 1: 5. Hence option C is true.
Given that;
The students in Shawn's class got to choose whether to visit the zoo or the aquarium.
Here, 3 students went to the zoo and 15 students went to the aquarium.
Hence, the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo is,
Ratio = 3 : 15
Ratio = 3/15
Ratio = 1/5
Ratio = 1 : 5
Thus, option C is true.
Learn more about the ratio visit:
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A compression takes place when 0 1.
True
False
Answer:
i think it is true
Step-by-step explanation:
PLEASE HELP !!! 25 POINTS!Perform the following conversion.
0.09 km to dam
0.000 009 dam
0.000 009 dam
900 dam
900 dam
90 000 dam
90 000 dam
9 dam
9 dam
Answer:
9 dam
Step-by-step explanation:
1 km = 100 dam
0.09 km = 0.09 × 100
= 9 dam
∴ 0.09 km = 9 dam
Simplifying Please Help!
Answer: C. 6x+18
Step-by-step explanation:
Use the distributive property
First multiply 6 times x which is 6x
Then multiply 6 times 3 which is 18
Keep the sign the same
Therefore, this should give you 6x+18
A smooth vector field on the phase plane is known to have exactly three closed orbits. Two of the cycles, say C1 and C2 , lie inside the third cycle C3 . However, C1 does not lie inside C2 , nor vice-versa. a) Sketch the arrangement of the three cycles. b) Show that there must be at least one fixed point in the region bounded by C1 ,C2 , C3 .
Answer:
a) attached below
b) Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃
Step-by-step explanation:
A) sketch of the arrangement of the cycles
attached below
b) prove that at least one fixed point in the attached region is bounded
Given that : Ic3 = Ic2 = Ic1 = 1
hence : Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃
This is a prove that at least one fixed point is bounded by C1 , C2 , C3
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
solve 6x + 3 < x < 3x + 9 for integers values of x
Answer:
-9/2 < x < -3/5
Step-by-step explanation:
So first, we take the left part of the inequality to solve and ignore the right part for now, which leaves us 6x + 3 < x.
1. Subtract 3 from both sides:
6x < x - 3
2. subtract x from both sides:
5x < -3
3. divide 5 from both sides:
x < -3/5
Then, we do the same thing as part 1, but this time with x < 3x + 9.
1. Subtract 9 from both sides:
x - 9 < 3x
2. subtract x from both sides:
-9 < 2x
3. divide both sides by 2:
-9/2 < x.
Notice how we have a value that x is less than and a value that x is greater than. So now, all we have to do is to put the two inequalities together, leaving only one x in the middle. Hence, -9/2 < x < -3/5.
I hope this helped! :D
[tex]\\ \sf\longmapsto 6x + 3 < x < 3x + 9 \\ \\ \sf\longmapsto 6x - 3x < x < 9 - 3 \\ \\ \sf\longmapsto 3x < x < 6 \\ \\ \sf\longmapsto x < \frac{x}{3} < 2[/tex]
Jason owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7.50. Yesterday Jason made a total of $790 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
:)
Answer:
4.75t + 7.50b = 790
b = 2t
Step-by-step explanation:
Let t represent the number of tacos that he sold, and let b represent the number of burritos he sold.
4.75t can represent how much money he earned from selling tacos, and 7.50b can represent how much money he earned from selling burritos.
Create an equation that adds these together and sets them equal to 790:
4.75t + 7.50b = 790
Next, create another equation that represents how there were twice as many burritos sold than tacos.
This can be represented by b = 2t.
The system of equations is:
4.75t + 7.50b = 790
b = 2t
