Answer:
Step-by-step explanation:
Let y is the required number.
a/c to question,
y² + greatest three digit prime number + smallest two digit prime number = 32²
we know, greatest three digit prime number = 997
smallest two digit prime number = 11
now, y² + 997 + 11 = 32²
or, y² + 1008 = 1024
or, y² = 1024 - 1008
or, y² = 16
or, y = 4
hence, required number number is one digit even number e.g., y = 4
Hope this answer helps you :)
Have a great day
Mark brainliest
Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle between the line formed by Albert and Bhara and the line from Albert to the soccer ball is 25 degrees, how far is Bhara from the soccer ball? Correctly round your answer to the nearest tenth of a meter.
Answer:
11m
I did it by Geometry and used the scale : 1cm represents 5m
If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:
Answer:
176 cmStep-by-step explanation:
The shorter arc is 22 cm.
Arc length formula:
s = πrθ/180Circumference formula:
C = 2πrUse the first formula to work out the value of C:
22 = πr*45/180πr/4 = 22πr = 88 2πr = 176C = 176 cmLength of arc=L=22cm
We know
[tex]\boxed{\sf L=\dfrac{\Theta}{360}\times πr}[/tex]
[tex]\\ \sf\longmapsto 22=\dfrac{45}{360}\times 2πr[/tex]
[tex]\\ \sf\longmapsto \dfrac{2πr}{8}=22[/tex]
[tex]\\ \sf\longmapsto {2πr=176}[/tex]
[tex]\\ \sf\longmapsto Circumference=176cm[/tex]
What is the perimeter of the right triangle with legs (2x + 1) feet and (4x - 4) feet and hypotenuse (4x - 1) feet? Give your answer in terms of x in the simplest form.
Answer:
10x-4 feet
Step-by-step explanation:
The perimeter is the amount of the sides together so add the three sides together
2x+1+4x-4+4x-1
Combine like terms
10x-4
(You can also factor out 2 but that would not be simplest --> 2(5x-2))
Please hurry I will mark you brainliest
Answer: a = 115°
Reason Co interior angles add up to 180°
a + 65 = 180
a = 180 - 65
a = 115
Answered by Gauthmath must click thanks and mark brainliest
Which value is the closet approximation of the square root of 27
A 4.5
B 5
C 5.5
D 5.9
The GCF of 10 and 18 is 6.
TRUE
FALSE
Answer:
False
Step-by-step explanation:
Because the gcf of 10 and 18 is 2
Answer:
False
Step-by-step explanation:
Any factor of a number must evenly devide into the number. 6 does not even divide into 10, so no. The GCF of 10 and 18 is 2.
monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?
Answer:
linear. Each week adds another 10 dollars.
Step-by-step explanation:
Total = 340 + 10*w
w is the weekly amount
Suppose 5 weeks pass
Then the total amount in her bank account is
Total = 340 + 10*5
Total = 340 + 50
Total = 390
The equation is Linear.
help me with the question of O.math
Answer:
By comparing of elements of both matrices, we will get,
[tex]x + y = 5 \: \: \: - - - (1) \\ \sf \: and \\ x - 2 = 3 \\ = > x = 3 + 2 \\ = > \green{ \boxed{x = 5}} \\ \\ so \: \: from \: eqn.(1) \\ 5 + y = 5 \\ = > y = 5 - 5 \\ = > \green{ \boxed{ y = 0}}[/tex]
[tex]\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \sf \: mark \: \\ me \: as\\ \bf \: brainliest \: \end{array}}}} \\ [/tex]
What type of conic section is the following equation?
5x^2-y=12
Answer:
The conic section for the equation 5x^2 - y = 12 is parabola
Can someone help me with all 3
Answer:
1) 20
2) 60
3) 10
4) 90
Step-by-step explanation:
1. first quartile is the beginning of the box
2. third quartile is the end of the box
3. lowest is the first point of the graph
4. vice versa of 3
A factory produces wrenches. The factory wants all of its
wrenches to weigh the same, but will accept a certain level of er-
ror. The inequality below describes the error they are willing to
accept, in pounds:
Answer:
b
Step-by-step explanation:
Scott and Ashley each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Scott spent $170 on 12 daylilies and 13 pots of ivy. Ashley spent
$172 on 14 daylilies and 2 pots of ivy. What is the cost of one daylily and the cost of one pot of
ivy?
Answer:
x = cost of daylily = $12
y = cost of ivy = $2
Step-by-step explanation:
Let
x = cost of daylily
y = cost of ivy
Scott:
12x + 13y = 170
Ashley:
14x + 2y = 172
12x + 13y = 170 (1)
14x + 2y = 172 (2)
Multiply (1) by 14 and (2) by 12
168x + 182y = 2380 (3)
168x + 24y = 2064 (4)
Subtract (4) from (3) to eliminate x
182y - 24y = 2380 - 2064
158y = 316
y = 316/158
y = 2
Substitute y = 2 into (1)
12x + 13y = 170 (1)
12x + 13(2) = 170
12x + 26 = 170
12x = 170 - 26
12x = 144
x = 144/12
x = 12
x = cost of daylily = $12
y = cost of ivy = $2
What is the exact value of the trigonometric expression?
tan (7π/4)
a) -√2/2
b)1
c)-1
d)√2/2
Study the sequence and choose the correct answer. 1;4;p;64;t;...
A:p=8 and t =108 ,
B:p=16 and t=256 ,
C; p=6 and t = 32
D;p=5 and t= 74
Answer:
B
Step-by-step explanation:
Each number in the sequence is being multiplied by 4
like this:
1, 4, 16, 64, 256
Type the correct answer in the box. If necessary, use / for the fraction bar.
A s A p P p pP p p p p P P PP PpPppPP P P P PPPPPPPppppppppPPPpP
Answer:
the answer is three , but let me try to help explain...
in a line the slope (M) as in y=mx + b
is a constant number ... rise over run for every unit in the x direction the y changes by that amount
in your graph what you have to do is locate where the red line crosses the grid in a "nice" (at the corner of a box).... notice that at the 2 for yards it exactly crosses at the 6 for feet...
that suggests that the "slope", "proportional constant" ,rise over run".
"gradient" what ever the word you want to use is 6/2 which is 3
Step-by-step explanation:
15. 4 + 2x = 4x - 20
What is the value of X?
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex]4 + 2x = 4x - 20[/tex]
[tex]4 + 20 = 4x - 2x[/tex]
[tex]24 = 2x[/tex]
[tex]x = \frac{24}{2} [/tex][tex]x = 12[/tex]
Hope it is helpful....What is the slope of the line shown below?
(6,6)
m
O A. -2
B. 2
-5
6
O c. 7 /
IN
(1,-4)
5
1
O D.
D. -
2
Answer:
B
Step-by-step explanation:
answer is slope =2
use formula y2-y1 over x2-x1
two points of graph is (6,6) and (1,-4)
since 6 and -4 are both y, we take 6-(-4) over 6-1
we get 2
ask for further explanation if you need!!❤
resolve (5x+4) /( (x-4)( x+2))
Answer:
Step-by-step explanation:
Hello!
(5x+4) /( (x-4)( x+2))
(5x+4)/ (x² +2x -4x -8)=
(5x+4) /( x²-2x -8)
An online store receives customer satisfaction ratings between 000 and 100100100, inclusive. In the first 101010 ratings the store received, the average (arithmetic mean) of the ratings was 757575. What is the least value the store can receive for the 111111th rating and still be able to have an average of at least 858585 for the first 202020 ratings
Complete question is;
An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?
Answer:
50
Step-by-step explanation:
We are told that In the first 10 ratings the store received arithmetic mean of the ratings = 75.
Thus;
Sum of the first 10 ratings = 75 × 10 = 750
Now, for the mean of the first 20 ratings to be at least 85, it means that the sum of the first 20 ratings would be; 85 × 20 = 1700
Thus, the sum of the next 10 ratings would be; 1700 − 750 = 950.
If maximum rating = 100, then the maximum possible value of the sum of the 12th to 20th ratings is given by;
9 × 100 = 900.
Now, in order to make the store have an average of at least 85 for the first 20 ratings, the least value for the 11th rating is;
950 − 900 = 50
what is the difference of the fractions?
-2 1/2 - (-1 3/4)
Answer:
-3/4
Step-by-step explanation:
First, let's convert the mixed numbers into improper fractions in an effort to make this problem easier to solve.
-2 1/2 as a mixed number is -5/2 and -1 3/4 as a mixed number is -7/4.
Our problem is now -5/2 - (-7/4).
We still can't solve this because the two fractions do not share a common denominator. 4 can serve as one, so -5/2 with a denominator of 4 would be -10/4.
The problem is now -10/4 - (-7/4).
Two negatives make a positive so the problem can be rewritten as -10/4 + 7/4. The final answer is -3/4.
Which of the following numbers creates a Pythagorean Triple? (12,16, ___ ) ?
Answer:
20
Step-by-step explanation:
□□□□□□□□■■■■■■■■■○○○○○
Franklin used the polynomial expression x(x−3)(x+4) to model the volume of a rectangular prism. What is the length of the shortest side of this prism? A x B x−3 C x2−3x D x3+x2−12x
Answer:
[tex]x - 3[/tex]
Step-by-step explanation:
Given
[tex]Volume = x(x - 3)(x + 4)[/tex]
Required
The shortest side
The volume of a rectangular prism is:
[tex]Volume = Length * Width * Height[/tex]
By comparison, we have:
[tex]Length = x[/tex]
[tex]Width = x-3[/tex]
[tex]Height = x + 4[/tex]
In ascending order, the sides are:
[tex]Width = x-3[/tex]
[tex]Length = x[/tex]
[tex]Height = x + 4[/tex]
This is so because:
Irrespective of the value of x
x - 3 will be less than x
x + 4 will be more than x
Hence, the shortest length is:
[tex]Width = x-3[/tex]
Answer:
b
Step-by-step explanation:
Decide!!!!!!!!!!!!!!!!!!!!!!!!!!!!
a + 1/b = 5
b + 1/c = 12
c + 1/a = 13
manipulating the first line by subtracting 1/b on both sides
a = 5 - 1/b
manipulating the 3rd line by subtracting 1/a on both sides.
c = 13 - 1/a
plugging a into this
c = 13 -1/(5 -1b)
c = 13 -5 +1/b
c= 8 + 1/b
plugging c into the 2nd line
b + 1/(8 +1/b) = 12
b + 1/8 + b = 12
2b + 1/8 = 12
devide both sides by two
b + 1/16 = 6
b = 11 + 15/16
plugging the value for b into the first line to get a
a + 1/(11 + 15/16) = 5
a + 1/11 + 16/15 = 5
a + 15/165 + 176/165 = 5
a + 191/165 = 5
a = 5 + 191/165
a = 1016/165
plugging b into the 2nd line to get c
11 + 15/16 + 1/c = 12
1/c = 1/16
multiply by c on both sides
1 = 1/16c
multiply by 16 on both sides
16 = c
A firework is launched into the air from ground level with an initial velocity of 128 ft/s. If acceleration due to gravity is –16 ft/s2, what is the maximum height reached by the firework?
Answer:
h = 256 feet
Step-by-step explanation:
Given that,
The initial velocity of firework, v = 128 ft/s
The acceleration due to gravity is-16 ft/s².
We need to find the maximum height reached by the firework.
The equation for the firework is :
[tex]h(t) = -16t^2 + 128t[/tex]
To find the vertex's x-coordinate, we can use
[tex]t=\dfrac{-b}{2a}\\\\t=\dfrac{-128}{2\times (-16)}\\\\t=4\ s[/tex]
Put all the values in the expression for h (t).
[tex]h(t) = -16(4)^2 + 128(4)\\\\h(t)=256\ ft[/tex]
So, the maximum height reached by the firework is 256 feet.
nent
Which expressions are equivalent to 7-2.76?
Choose 2 answers:
W
1
3 min
A
72
7-2
icals
B В
76
7-2
7-12
z 25
D
(72)2
molitvin
7^2/7^-2 and (7^2)^2
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
21. C, 24.B
Step-by-step explanation:
Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.
Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:
[tex]55^2=40^2+24^2-2(40)(24)\cos(C)[/tex]
We can subtract 40 squared plus 24 squared from both sides to get
[tex]849=-2(40)(24)\cos(C)[/tex]
Negative two times 40 times 24 equals -1920. Dividing -1920 from both sides gets us
[tex]\frac{849}{-1920}=\cos(C)[/tex]
Plugging this equation into a calculator and solving for C, we get the answer as approximately
C = 116.24353.
This rounds to 116.2
easy algebra question below first correct answer gets brainliest
Answer:
y=-/+ 4 square root 11
Step-by-step explanation:
is the question is 2(y+4)^2=22 then y=7 but if it is 2(y÷4)^2=22?
If give 7 billions for 7 millions people. What is total?
Answer:
this is a very big number
Step-by-step explanation:
(7000000000)⁷⁰⁰⁰⁰⁰⁰
Insert seven rational numbers between 2 and 3.
Answer:
5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8
Step-by-step explanation:
Answer:
2/1
2.5
2whole number6/4
