The speed limit is 55mph. How far can you travel in 3 hours going the speed limit? How far can you travel if you went 5 miles over the speed limit?
Answer:
If you were going the speed limit, after 3 hrs, you would go 165 miles.
If you were going 5 miles above the speed limit you would go 180 miles.
Step-by-step explanation:
55 x 3 = 165
55 + 5 = 60
60 x 3 = 180
Answer:
165miles
180miles
Step-by-step explanation:
If going 55mph for 3 hours,
55miles/hour * 3hour = 165miles
If going 60mph (5 over the limit) for 3 hours:
60miles/hour * 3hour = 180miles
Prove that the altitude to the base of an isosceles triangle is also the median to the base in complete sentences:
Explanation:
The altitude to the base of an isosceles triangle meets the base at right angles, dividing the triangle into two right triangles. The hypotenuse of each of these triangles is one of the congruent sides of the isosceles triangle, so the hypotenuses are congruent. The altitude is congruent to itself, so comprises congruent legs of the right triangles.
The right triangles are congruent to each other by the HL congruence theorem. The remaining side of each of the right triangles is part of the base of the original isosceles triangle. Those sides are congruent by CPCTC, so the altitude meets the base at its midpoint. Hence the altitude to the base is a median of the isosceles triangle.
__
Here's the same argument with vertices defined.
Define isosceles triangle ABC such that AB≅AC. Define altitude AD⊥BC. Then ΔADB and ΔADC are right triangles with AB≅AC and AD≅AD. Then ΔADB≅ΔADC by the HL theorem, and DB≅DC by CPCTC. Hence D is the midpoint of BC, and AD is a median.
Hey can someone help with this problem!?
Answer:
5 spaces
2×(-5)=-10
Answer=10
Step-by-step explanation:
Answer:3
Step-by-step explanation:
looks like 3
(01.01 LC)What should be added to 3 to make the sum 0?
−3
−2
0
3
Answer:
-3
Step-by-step explanation:
math
Answer:
-3
Step-by-step explanation:
Adding -3 to 3 makes the sum equal to 0:
3 + (-3) = 3 - 3 = 0
Choose the correct equation. Then solve the equation.
A sales representative earns weekly base salary of $250 and a commission of 8% on her weekly sales. (A commission is money earned that equals a percent of the sales.) At the end of one week, she earned $410. How much did she sell that week? Let s represent the total sales.
A. 250 + 0.08s = 410
B. 250 + 410 = 0.08s
Write 360 as a fraction of 2250 in its lowest term.
questions
solve for k.
4m+5k=3t
solve for b.
a/7 + b/3 = x/21
please help me answer for this quickly
Greg purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Greg paid.
Answer:
c = 4n
Step-by-step explanation:
The total cost (c) is going to be of the 4 notebooks together
We don't know how many notebooks Greg got, so it's represented by n.
It doesn't matter how many notebooks Greg purchased, because each of them were $4.
So to represent the total cost of the notebooks, you would write c = 4n
A jar contains 734 L of milk. After packing the milk in 20 packets of equal capacity, 14 L of milk was still left in the jar. What is the quantity of milk in each of the smaller packets?
Answer:
[tex]36\text{ liters}[/tex]
Step-by-step explanation:
After the 20 packets of milk were packed from the 734 L of milk in the jar, 14 L of milk were still lift. Therefore, [tex]734-14=720[/tex] liters of milk were used to pack the 20 packets.
Since it is given in the problem that each packet of milk contained the same amount of milk, each packet of milk must have had:
[tex]\frac{720}{20}=\boxed{36}[/tex] liters of milk.
Question:
n-sided regular polygons are arranged side-by-side to form a ring of a p-sided regular polygon.
(a) Express p in terms of n.
(b) Hence explain if a 12-sided polygon can be formed by arranging a number of regular polygons in a ring.
Please help! Answers with explanations will be marked brainliest!
Answer: Well if you were going to think of a circle you can divide it into 4 equal sizes in one of the is equal to two pentagons and a half. If you add all is equal to a loop full of pentagons [which makes 10 pentagons]. Because the ring is made out of regular pentagons, we can work out that each of the interior angles of each pentagon is 108* degrees. By extending the lines that two pentagons share, assuming they will all meet in the middle, it will create a triangle. As we know each angle of a [regular] pentagon is 108* degrees, we know the two base angles of the triangle would equal to 72** which leaves the top angle to be 36 degrees. As [the sum of] angles at a point is 360 degrees, and 36 is divisible by 360, it will make a complete ring. Also, as 360 ÷ 36 = 10, we know that the ring will be made out of 10 pentagons. as formula to calculate the the size of a interior angle of a polygon is (n×180−360)÷n (for n being the number of sides that the polygon has). because the triangle is made by extending the lines, and angles on a line is 180 degrees, 180−108 (an interior angle of a pentagon) =72.
What is the equation of the graph?
y = 4x
y = 1/4x
y = -1/4x
y = -4x
Solve the equation by factoring:
6x2-0.5x=0
The solutions to the equation [tex]6x^{2} -0.5x=0[/tex] are [tex]x=0[/tex] and [tex]x=\frac{1}{12}[/tex].
To solve the equation [tex]6x^{2} -0.5x=0[/tex] by factoring, we first need to factor out the common factor of x from the expression:
[tex]x(6x-0.5)=0[/tex]
Next, we can simplify the expression inside the parentheses by factoring out a common factor of 0.5:
[tex]x(12x-1)=0[/tex]
Now, we have two factors being multiplied together that give a product of zero. According to the zero product property, this means that either [tex]x=0[/tex] or [tex]12x-1=0[/tex]. Solving for x in the second equation, we get:
[tex]12x-1=0[/tex]
[tex]12x=1[/tex]
[tex]x=\frac{1}{12}[/tex]
Therefore, the solutions to the equation [tex]6x^{2} -0.5x=0[/tex] are [tex]x=0[/tex] and [tex]x=\frac{1}{12}[/tex].
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PLS HELP ASAP! Which of the following sets shows all the numbers from the set {0, 0.5, 1, 2.5, 3} that make the inequality 2a + 3 ≥ 8 true?
{2.5, 3}
{1, 2.5, 3}
{0, 0.5, 1}
{0.5, 1}
Answer:
first one, [2.5, 3]
Step-by-step explanation:
2a + 3 [tex]\geq[/tex] 8
2a [tex]\geq[/tex] 8 - 3
a [tex]\geq[/tex] 5/2
a [tex]\geq[/tex] 2.5
if we put a =2 .5 in the equation
2a +3 [tex]\geq[/tex] 8
2(2.5) + 3 [tex]\geq[/tex] 8
5+3 [tex]\geq[/tex] 8
8 [tex]\geq[/tex] 8
which is true.
if we put a = 3 in the equation
2a + 3 [tex]\geq[/tex] 8
2(3) +3 [tex]\geq[/tex] 8
6+3 [tex]\geq[/tex] 8
9 [tex]\geq[/tex] 8
which is also true.
Question 1
Click the refresh button until you get a right triangle with A as the right angle. Fill in the fraction forms of sin B, cos B, tan B and then the
associated measure of B using sin^-1, cos^-1, and tan^-1, rounded to three decimal places each. Then fill in the fraction forms of sin C, cos C, tan C, and the associated measure of C using sin^-1, cos^-1, and tan ^-1 rounded to three decimal places.
x=width of pool
2x=length of pool
the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4
the area of this rectangle minus the area of the pool is 196 square feet
(2x+4)(x+4)-(x)(2x)=196
2x^2+4x+8x+16-2x^2=196
combine similar terms
12x+16=196
12x=196-16
12x=180
x=180/12
x=15 feet is the width of the pool
check: 34*19-30*15=196
646-450=196
196=196
Answer:
Step-by-step explanation:
What is the opposite of -3?
-3
- 1/3
3
1/3
Answer: 3
Step-by-step explanation: I think
Andrea uses 3.12 cups of flour in a recipe that makes 8 key lime cupcakes. Corey uses 2.52 cups of flour in a recipe that makes 7 key lime cupcakes. How much more flower per cupcake is needed for Corey’s recipe?
I will give Brian list plz help
Answer:
The Answer is 0.03
Step-by-step explanation:
Andrea = 3.12/8 flower per cupcake
3.12/ 8 = .39
Corey = 2.25/ 7 flower per cupcake
2.25/ 7 = .36
So Corey's recipe needs
( 0.39 - 0.36) = 0.03 flower per cupcake
Item 18
A flagpole casts a shadow that is 7 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 25 inches long. How tall is the flagpole to the nearest foot?
The expression (F - 32) • 5/9 can be used to convert a temperature from Fahrenheit to Celsius.
1. Find the temperature in Celsius if it is 50°F.
2. Find the temperature in Celsius if it is -10°F.
Answer:
1.) 10
2.) 14
Step-by-step explanation:
64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44.
Answer:
Sarah is 60 years old
Step-by-step explanation:
64 divided by 4 is 16. Add 16 to 44 to get Sarah's age, 60
Answer: She is 60 years old
Step-by-step explanation:
Simplify the following expression: 7a + 5b - 3a + 4b
Circle only ONE
A. 4a + 9b
B. 10a + 9b
C. 4a - b
D. 10a - b
Answer:
A
Step-by-step explanation:
7a+5b-3a+4b
first rearrange
7a-3a+5b+4b
4a+9b
Question 4
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>
B0/1 pt 53
Write a polynomial in standard form that has the following characteristics.
leading coefficient: -1/3
zeros: 0,9, -21, -3
Answer:
-(x^5)/3+2x^4+(23/3)x^3+8x^2+36x
Step-by-step explanation:
The polynomial is - 1/3(x-9)(x)(x-2i)(x+2i)(x+3)=-(x^5)/3+2x^4+(23/3)x^3+8x^2+36x
A company published 100 books last year, of which 9 were best-sellers. What percent were best-sellers?
Answer:
9% of the 100 were best-sellers
Step-by-step explanation:
there are 100 books, and 9 of them were best sellers, to put this in a percentage we can do (9/100)*100 which gives us 9, we slap a % on it and get 9%
Figure A is a scale image of Figure B.
whas the value of x?
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
d
Step-by-step explanation:
its a rational number because it isn't 0 and the others are incorrect i think
Answer:
Pretty sure its D
Step-by-step explanation:
Process of elimination....All the other ones seem to be incorrect.
I NEED HELP PLEASEEEE
Answer:
D
Step-by-step explanation:
a,b,c are the same thing just in different forms so d is the right one.
also a is suppose to be a/1 i think for question d
Stacey earns money by walking dogs she walks the same route seven days a week each week she walks a total of 56 miles what is her walking rate in miles per day
Answer:
8
Step-by-step explanation:
56/7 = 8
what is the equation of the blue line?
Answer:
[tex]{ \tt{gradient = \frac{0 - ( - 3)}{ - 3 - 0} }} \\ = - 1 \\ y = mx + c \\ 0 = ( - 1 \times - 3) + c \\ c = - 3 \\ { \boxed{ \bf{y = - x - 3}}}[/tex]
Please help me! I will give brainly
Question 1
An ear of corn has about $16$ rows of kernels. Each row has about $50$ kernels of corn.
a. About 0.2 of the kernels are white and the rest are yellow. How many kernels are yellow?
____ kernels
Question 2
b. Each ear of corn has about $0.25$ pound of corn kernels. How many pounds of kernels are in a dozen ears of corn?
_____pounds
Answer:
a. 640 kernels
b. 3 pounds
Step-by-step explanation:
a:
Total kernels = 16 * 50 = 800
White kernels = 800 * 0.2 = 160
Yellow kernels = 800 * 0.8 = 640
b:
1 ear weight = 0.25 pounds
12 ears weight = 12 * 0.25 = 3 pounds
a. The number of kernels which are yellow is 640.
b. The amount of kernels will be 3 pounds.
An expression is a combination of symbols, variables, numbers, and operators that represents a value or a computation. It can consist of constants, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more.
Expressions can be simple or complex, involving multiple terms and operations. They are commonly used in mathematics, computer programming, and symbolic logic to represent calculations, equations, and relationships between quantities.
a:
Total kernels = 16 x 50 = 800
White kernels = 800 x 0.2 = 160
Yellow kernels = 800 x 0.8 = 640
b:
1 ear weight = 0.25 pounds
12 ears weight = 12 x 0.25 = 3 pounds
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Find an equation of the line: through the point (2,-4) with a y-intercept oof -2
Answer quick please !!!!!
Answer:
y = -x-2
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = mx-2
Using the point (2, -4)
-4= m(2) -2
Add 2 to each side
-4+2 = 2m-2+2
-2 =2m
Divide by 2
-2/2 = 2m/2
-1 =m
y = -1x -2
y = -x-2
Answer:
y=-x-2
Step-by-step explanation:
Since we know two points on the graph (2,-4) and (0,-2) we can find the slope because slope= change in y over change in x. By doing so, we can see that the slope is -1. We know that y=mx+b and m is slope and b is y-intercept so we have all the variables needed. y=-1x-2 or y=-x-2.