Answer:
The width of the frame is 2 inches
Step-by-step explanation:
The given dimensions of the picture = 7 inches by 7 inches
The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²
The area of the given picture and the frame, A₂ = 81 square inches
Let 'w' represent the width of the frame and whereby the picture is a square, we have;
The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)
A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²
49 + 14·w + w² - 81 = 0
w² + 14·w - 32 = 0
(x + 16)·(x - 2) = 0
∴ x = -16 or x = 2
Given that 'x' is a natural number, we have;
The width of the frame, x = 2 inches.
3. 0.3 + 0.2 + 0.1 =
so what would the answer be?
Answer:
1.2
Step-by-step explanation:
3. 0.3+0.2+0.1
Multiply 3 and 0.3 to get 0.9
0.9+0.2+0.1
Add 0.9 and 0.2 to get 1.1
1.1+0.1
Add 1.1 and 0.1 to get 1.2
1.2
Giving brainlist to whoever answers
Answer: should be x> -18
Step-by-step explanation: hope this helps
Answer:
x > -18
Step-by-step explanation:
8 > 2 - x/3
Multiply the equation by 3.
24 > 6 - x
Flip around to make working with it easier.
6 - x < 24
Subtract 6 from both sides.
-x < 18
Divide by -1. When dividing by a negative in an inequality, flip the sign.
x > -18.
Give all the basic trigonometric functions that satisfy the condition [tex]f(x) \neq 0[/tex]
Answer:
i need points lol
Step-by-step explanation:
sorryyyyy
The volume of a cylinder is 169 pie in.3 and the height of the cylinder is 1 in. What is the
radius of the cylinder?
The radius of the cylinder is in. (Simplify your answer.)
Answer:
Step-by-step explanation:
Find the missing side or angle.
Round to the nearest tenth.
B=45°
a=9
c=19
b=[ ]
Answer:
[tex]14.1[/tex]
Step-by-step explanation:
Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.
For any triangle, the Law of Cosines states:
[tex]b^2=a^2+c^2-2ac\cos B[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are all interchangeable.
Substituting given values, we have:
[tex]b^2=9^2+19^2-2(9)(19)\cos 45^{\circ},\\b^2=200.169480834,\\b\approx \boxed{14.1}[/tex]
Find the slope of the line that passes through the points
(-5,-6) and (5,10)
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (10- -6)/(5 - -5)
= (10+6)(5+5)
= 16/10
= 8/5
1.6
Step-by-step explanation:
change in y ÷ change in x
(10--6)=16
(5--5)=10
16÷10=1.6
the circumference of a circle is 4π ft. find its diameter in feet
Answer:
4 is the diameter
Step-by-step explanation:
Given:
C = 4π
Formula for circumference:
C = 2πr
Work:
C = 2πr
4π = 2πr
r = (4π)/(2π)
r = 2
Diameter:
d = 2r
d = 2(2)
d = 4
9 more than the product of 3 and 12
Answer:
393
Step-by-step explanation:
(32)(12) + 9
This comes out to 384 + 9 = 393
8. Which of the following cannot be written as an expression? *
F. six times a number less nine
G. eight times the quotient of 6 and 3
H. the difference between a number and 12
J. five times a number is 30
Answer:
f
Step-by-step explanation:
because it's less than mine not less nine
Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
answer.
log(e) = ln(e)
O FALSE. The two logarithms have different bases so their values are not the same.
O FALSE. The value of log(e) is undefined.
O TRUE. Both logarithms are equal to e.
O TRUE. Natural logarithms and common logarithms are always equal to each other.
Answer:
[tex]first \: answer \: is \: true[/tex]
Please help quick I have no idea what to do
Answer:
2
Step-by-step explanation:
rise/run 4/2
Identify the equation of the circle that has its center at (-8, 15) and passes through the origin
A. (x – 8)2 + (y + 15)2 = 17
B. (x + 8)2 + (y – 15)2 = 289
C. (x - 8)2 + (y + 15)2 = 289
D. (x + 8)2 + (y - 15)2 = 17
Answer:
(x +8)^2 +(y -15)^2 = 289
Step-by-step explanation:
Answer:
(x +8)^2 +(y -15)^2 = 289
Step-by-step explanation:
On a scale drawing with a scale of
1 cm:2.5 m, the height of a tree is
8.4 cm. How tall is the actual tree?
Answer:
21 m
Step-by-step explanation:
1:2.5 = 8.4: x
8.4*2.5 = 21
has a y-intercept of (0,2) and passes through the point (3,128)
Answer:
y = 42x + 2
Step-by-step explanation:
The equation of a line is expressed as y = mx+b
Slope = y2-y1/x2-x1
Slope = 128 - 2/3-0
Slope m = 126/3
Slope = 42
Since the y intercept is (0, 2), hence b = 2
Get the equation;
Recall that y = mx+b
y = 42x + 2
This gives the required equation
Based on these results, which is the most reasonable
balls she will have blocked after 8 games?
A 96
B 32
C 72
D 56
Answer:
theanswer is D.72
Step-by-step explanation:
this.is because she blocked 36 balls in the first 4 games
As per the given data, it can predict that after 8 games the number of blocks would be 72 balls. Option c is correct.
Given that,
Based on these results, which is the most reasonable balls she will have blocked after 8 games is to be determined.
The average of the values is the ratio of the total sum of values to the number of values.
Here,
Average balls blocked in 4 games = 8 + 12 + 9 + 7 / 4 = 36 / 4
= 9
For the 8 games the number of ball blocked would be = 8 × 9 = 72
Thus, as per the given data, it can predict that after 8 games the number of ball blocks would be 72 balls. Option c is correct.
Learn more about averages here:
brainly.com/question/24057012
#SPJ2
The diameter of a planet is about 25,660 mi. The diameter of the planet's moon is about 35% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
The volume of the planet's moon is % of the volume of its planet.
(Round to the nearest whole number as needed.)
Answer:
4%
Step-by-step explanation:
Volume of sphere
v = (4/3)πr^3
Volume moon/ volume planet
We don't actually need the numeric value of the radius
just the 35% ratio
Radius of moon = .35 radius of planet
Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3
Cancel like terms
Vm / Vp = .35^3
Vm / Vp = 0.042875
Expressed as a percentage
Vm / Vp = 4.2875%
Rounded
Vm / Vp = 4%
Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then selected a key chain. What is the probability this could occur
Answer:
[tex]Pr = \frac{1}{870}[/tex]
Step-by-step explanation:
Given
[tex]n =30[/tex]
Required
Probability of selecting 2 toys of different types
From the question, we understand that all toys are different i.e. 1 of each type.
And the selection is without replacement;
So, after the first toy is selected; there are n - 1 toys left.
So, the probability is:
[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]
Substitute [tex]n =30[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]
[tex]Pr = \frac{1}{30*29}[/tex]
[tex]Pr = \frac{1}{870}[/tex]
Annika has a circular garden with a radius of 14 feet. One fourth of the garden is planted with yellow roses. what is the area not planted in yellow roses? Use 22/7 for pi.
Answer:A
Step-by-step explanation:
3/4*22/7*14^2
=3/4*22/7*14*14
=3*11*2*7
=33*2*7
=66*7
=462
Answer:
462
Step-by-step explanation:
8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B. f(x) = -2x2 + 16x + 27 D, f(x) = -2x2 – 16x - 37
Answer:
see explanation
Step-by-step explanation:
f(x)= -2(x²+8x+16)-5
[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]
A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?
Answer:
6 got off at NJ
Step-by-step explanation:
if u write an equation it would be 44-x+2x=50. -x+2x=x so the equation would now be 44+x=50. If you subtract both sides by 44, it would be x=6. x was the number of people that got off at NJ so 6 people got off there.
Hope this helps!
True or False? The lateral surface area is the same as the total surface area.
Answer:
Lateral surface area means curved surface area
Total surface area means curved surface area + surface area of the bottom and top.
So i think its false
Step-by-step explanation:
Question 16
Make x the subject of the formula
y = ax2
PLZ HELP MEEE
Answer:
x = ± [tex]\sqrt{\frac{y}{a} }[/tex]
Step-by-step explanation:
Given
y = ax² ( divide both sides by a to isolate x² )
[tex]\frac{y}{a}[/tex] = x² ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{y}{a} }[/tex]
TJ-Maxx offered a 36% discount off the original
price of a head board. The amount of the discount
is $9. What is the regular price of the head board?
I DONT WANT TO GO TO SUMMER SCHOOL
Answer:
$25.00
Step-by-step explanation:
well start of by using the rules of 3.
( always remeber that multiply is diagonal and divide left by one on the left)
Answer:
Step-by-step explanation:
?????????/
2. Aaron baked two identical cakes. He cut one into 9 equal slices and the other into 19 equal slices.
a) Show that ⅔ of the 9-slice cake gives the asme number of pieces as 1/
3 of the 18 slice cake.
2/3 x 9 = 6 slices
1/3 x 18 = 6 slices
Hence they give the same number of slices.
A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
a.
120
c.
24
b.
4
d.
16
Answer:
The answer is 24 in my opinion
Step-by-step explanation:
1)1 2 3 4
2)1 2 4 3
3)1 3 2 4
4)1 3 4 2
5)1 4 3 2
6)1 4 2 3
Just multiply the 4 with 6 then you get the answer. Hope this is correct.Answer:
C-24
Step-by-step explanation:
A cyclist travels 6 miles in 45 minutes.
What is his average speed in mph? URGENT URGENT
Answer:
8 mph
Step-by-step explanation:
45 minutes = 6 miles
1 hour = 8 miles
Emma reads at a constant rate. In 6 hours, Emma read a 130-page book and a 90-page book. If h represents the number of hours it takes Emma to read 400 pages, which proportion can be used to solve for h?
A:130/90=6/h C:400/6=200/h
B:130/6=400/h D:220/6=400/h
Answer:
D
Step-by-step explanation:
i'm doing the activity rn and got it right
Answer:
the answer is d
Step-by-step explanation:
Please help me with 1,2,3,4 and show me how you get it the answers
Answer:
Step-by-step explanation:
Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1. Distance between A(3, 4) and B(8, 12),
AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]
AB = [tex]\sqrt{25+64}[/tex]
= [tex]\sqrt{89}[/tex]
≈ 9.43
2. Distance between C(-2, 10) and D(3, -2),
CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13.00
3. Distance between X(20, 4) and Y(17, 0),
XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{25}[/tex]
= 5.00
4. Distance between E(2, -1) and M(6, 9),
EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]
= [tex]\sqrt{16+100}[/tex]
= [tex]\sqrt{116}[/tex]
= 10.77
4 1/3 x 5 1/3 x 8 1/3 x 6 divided by 2.
Answer:
5,200
Step-by-step explanation:
[tex](4\frac{1}{3} * 5\frac{1}{3} * 8\frac{1}{3} * 6 )/ 2 = 10,400/2 = 5,200[/tex]
A relay race covers 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction kilometers, and each runner on a team will run \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of a kilometer. I NEED A ANSWERRRR
Answer:
6 runners
Step-by-step explanation:
Complete question
A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer. How many runners are needed for a team?
Given that;
1 runner = 1/4 km
If a relay race covers 1 1/2 km, hence;
x runner = 1 1/2 km
Divide both expressions
1/x = (1/4)÷(1 1/2)
1/x = 1/4 ÷ 3/2
1/x = 1/4 * 2/3
1/x = 2/12
Cross multiply
2x = 12
x = 12/2
x = 6
Hence 6 runners are needed for the race