Answer:
Yes, it could be a triangle.
Step-by-step explanation:
If the Pythagorean Theorem is satisfied, then these three side lengths represent a right triangle:
21^2 + 28^2 = 36^2 => 1225 = 1296 FALSE; we don't have a right triangle here.
However, the sum 21 + 28 is greater than 36, so we could indeed construct a triangle from these 3 side lengths. It just wouldn't be a right triangle.
How should the decimal point in 52.48 be moved to determine the product 52.48×10 to the power of 5?
Enter your answers in the boxes to correctly complete this statement.
The decimal point should be moved ___ places to the right because there are ___ zeros in 10 to the power of 5.
Decimal point moved 5 places to the right, since 10⁵ has 5 zeros in it.
Step-by-step explanation:
52.48 is multiplied by 10 to the power of 5, that is 100, 000, we will get ,
[tex]52.48 \times 10^{5}=5248000.00[/tex]
When 52.48 is multiplied by 100,000, we will get 5248 followed by 5 zeros, 524800000.
Now we have to count the decimal point from left to right, so we will get 5248000.00, zeros after the decimal point has no value.
The decimal point should be moved _5__ places to the right because there are _5__ zeros in 10 to the power of 5.
Guys please help me with #8 and #11 thank you
4. Carter has one $20 bill, one $10 bill,
four $5 bills and two $1 bills. Aubrey has
two $10 bills, five $5 bills, and seven
$1 bills. Who has more money? Explain.
Answer: Therefore, They both have the same amount!
Step-by-step explanation:
Carter= 20+10+4(5)+2(1)=
30+20+2= 52 dollars
Aubrey= 2(10)+5(5)+7(1)=
20+25+7=52 dollars
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a picture frame holds a 4-in. by 6-in. photograph. the frame adds a border x inches wide around the three sides of the photo. on the fourth side the frame forms a border that is 3x - 0.5 in. wide. the combined area of the photograph and the frame is 80.5 in^2. write a quadratic equation for the combined area. Then use the quadratic equation formula to find x
Answer:
1. The quadratic equation is 3x² +17.5x - 58.5 = 0
2. The values of x are 2.38 and -8.21, but we only take 2.38 for our problem.
3. The dimensions of the combined area are approximately 6.38 inches and 12.64 inches.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Photograph dimensions = 4 inches * 6 inches
Frame dimensions = x inches * 3x - 0.5 inches
Area of the combined area of the photograph and the frame = 80.5 inches²
2. Write a quadratic equation for the combined area. Then use the quadratic equation formula to find x.
One side of the combined area of the photograph and the frame = 4 + x inches
Second side of the combined area of the photograph and the frame = 6 + 3x - 0.5 inches
Now, we can write the quadratic equation this way:
Combined area of the photograph and the frame = One side * Second side, replacing with the values we know:
80.5 = (4 + x) * (6 + 3x - 0.5)
80.5 = (4 + x) * (5.5 + 3x)
80.5 = 22 + 5.5x + 12x + 3x²
3x² +17.5x - 58.5 = 0
Using the quadratic formula, where, a = 3, b = 17.5 and c = - 58.5, we have:
x = (-b +/- √b² - 4ac)/2a
x = (-17.5 +/- √17.5² - 4 * 3 * -58.5) 2 * 3
x = (-17.5 +/- √306.25 + 702)/6
x = (-17.5 +/- √1,008.25)/6
x = (-17.5 +/- 31.75)/6
x₁ = 14.25/6 = 2.38
x₂ = -49.25/6 = -8.21
We took the value of x₁ because x₂ is negative and we can't have a negative value for the length or the width, therefore:
80.5 = (4 + x) * (5.5 + 3x)
Replacing x, we have:
80.5 = (4 + 2.38) * (5.5 + 3 * 2.38)
80.5 = 6.38 * 12.64
80.5 ≅ 6.38 * 12.64
6 - (3t+4) = t solve the equation
Answer:
t = 1/2
Step-by-step explanation:
6 - (3t+4) = t
Distribute the minus sign
6 - 3t -4 = t
Combine like terms
2 -3t = t
Add 3t to each side
2 -3t +3t = t+3t
2 = 4t
Divide each side by 4
2/4 =4t/4
1/2 =t
Answer:
6-(3t+4)=t
6-3t-4=t
6-4=t+3t
2=4t
t=2/4
Dylan plants grass
in a rectangular
space behind the
clubhouse. The
area of the space
is 70 square feet.
If the length of the
space is 14 feet,
what is the width of
the space?
The atmosphere balances the unequal heating of Earth’s surface by moving _____. cool air toward the east and warm air toward the west cool air toward high latitudes and warm air toward the equator warm air toward the east and cool air toward the west warm air toward high latitudes and cool air toward the equator
Answer:
warm air toward high latitudes
Step-by-step explanation:
Known to sailors around the world as the doldrums, the Inter-Tropical Convergence Zone, (ITCZ, pronounced and sometimes referred to as the “itch”), is a belt around the Earth extending approximately five degrees north and south of the equator. From google
The atmosphere balances the unequal heating of Earth’s surface by moving warm air toward high latitudes and cool air toward the equator.
What is Atmosphere?An atmosphere is a layer of gas or layers of gases that envelop a planet, and is held in place by the gravity of the planetary body.
The atmosphere balances the unequal heating of Earth’s surface by moving warm air toward high latitudes and cool air toward the equator.
This is because the Earth's surface is heated unequally due to differences in solar radiation and other factors.
The equator receives more direct sunlight and is therefore warmer, while the poles receive less direct sunlight and are cooler.
As a result, warm air rises at the equator and cool air sinks at the poles, creating a circulation pattern in the atmosphere known as the Hadley cell.
Hence, the atmosphere balances the unequal heating of Earth’s surface by moving warm air toward high latitudes and cool air toward the equator.
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10. An archery arrow is shot with a speed of 45 m/s at an angle of 10°. How for
horizontally can the arrow travel before hitting a target at the same height
from which it was released?
Answer:
The horizontal distance travelled by an arrow is 70.6 m.
Step-by-step explanation:
Given : An archery arrow is shot with a speed of 45 m/s at an angle of 10°.
To find : How for horizontally can the arrow travel before hitting a target at the same height from which it was released?
Solution :
The expression for the range of the projectile motion is
[tex]R=\frac{V^2\sin 2\theta}{g}[/tex]
Where, the velocity of an arrow is V = 45 m / s
The angle of release of an arrow is [tex]\theta=10^\circ[/tex]
The acceleration due to gravity is g =9.81 m/s²
Substitute the values,
[tex]R=\frac{45^2\sin 2(10)}{9.81}[/tex]
[tex]R=\frac{2025\sin (20)}{9.81}[/tex]
[tex]R=70.6\ m[/tex]
Therefore, the horizontal distance travelled by an arrow is 70.6 m.
The arrow travels approximately 70.9 meters.
To determine how far the arrow travels horizontally, we need to break the initial velocity into horizontal and vertical components and use the projectile motion equations.
Step-by-step solution:
Determine the horizontal and vertical components of the initial velocity:The arrow travels approximately 70.9 meters horizontally before hitting a target at the same height from which it was released.
I NEED HELP ASAP CORRECT ANSWERS ONLY
write the equation of a function that passes through these points
Answer:
heine is a former member and the chief of the United nations and th t in my experience with the United states and t the u.s. government of th world and is th American standard bible in a very good country of th I think 8is the most popular among women and the men in a society where the oth was the other one that had the most of t to the world that I would not like you to be in my life and I don't know how much I
the filing cabinets need a total of 55 square feet of space.the doctor asked in which room the filing cabinets will fit
Square B
Explanation:The complete question is written in a comment above. The doctor's office where you work needs to store eight filing cabinets with patient information in one of three secure storage rooms. We know that the filing cabinets need a total of 55 square feet of space. You need to identify in which room the filing cabinets will fit. So we have three rooms:
FIRST OFFICE:
[tex]Square \ A = 8 \times 5[/tex]
In other words, for this room we have the following area:
[tex]Square \ A =40ft^2[/tex]
SECOND OFFICE:
[tex]Square \ B = 9 \times 7.5[/tex]
In other words, for this room we have the following area:
[tex]Square \ B =67.5ft^2[/tex]
THIRD OFFICE:
[tex]Square \ C = 5 \times 10[/tex]
In other words, for this room we have the following area:
[tex]Square \ C =50ft^2[/tex]
How can we know what is the room we need to choose?
Well, the room we need to choose is the one whose area is greater than the area of the filling cabinets. In other words, let's call square x the unknown room, then:
[tex]Square \ x>55ft^2[/tex]
From the, choices the only room that meets our requirements is square B because:
[tex]Square \ B>55ft^2 \\ \\ 67.5ft^2>55ft^2[/tex]
Measure the length and width of a room in feet to calculate its area. Multiply these dimensions to get the area in square feet. The filing cabinets need a room with at least 55 square feet.
Explanation:To determine whether the filing cabinets will fit into a room, we must calculate the area of the room and see if it is at least 55 square feet, the space required for the filing cabinets.
To calculate the area of a room in square feet, measure the length and width of the room in feet and then multiply these numbers together.
For example, if a room is 10 feet wide and 5.5 feet long, its area would be 10 feet times 5.5 feet, which equals 55 square feet. Therefore, the filing cabinets would fit in a room of this size.
Solve for X. -x < -29
Answer:x<29
Step-by-step explanation:
X<29
Solid A is similar to solid B. Solid B has a volume of 23000 cubic meters. By what scale factor can you multiply every side of solid A to get solid B if the volume of solid a is 23 cubic meters
Answer:
1,000
Step-by-step explanation:
23,000 divided by 23 is 1,000
Which of the following is best described as the quality a design has if it
maintains all of its characteristics when it is reflected over an axis lying in its
plane?
Answer:
Reflectional Symmetry
Select the correct answer. Zara is six months into her first job, and she’s also attending community college. She is planning to start saving a portion of her paycheck and has created a monthly budget to track her spending. Which budget item should Zara reduce to increase her savings? A. college tuition B. dining out C. rent D. utility bills
Answer:
B.Dining out
Step-by-step explanation:
A, C, and D are very important and without those she would be in big trouble. She does not need to dine out. Instead of dining out she can go to a normal grocery store and buy cheap food there.
Answer:
It would be DINNING OUT.
Step-by-step explanation:
Because it is something you can stop paying for and save money on. It is a variable expense.
Convert 2.19 liters to milliliters.
Enter your answer in the box.
2.19 L =
mL
Answer:
2.19 liters = 2190 milliliters
Step-by-step explanation:
GETS BRAINILIST!!!What statistical question might Mary have asked her classmates to gather the data in the bar graph? 6. A new student is wearing mismatched socks. How might you show that the student has 1 red sock and 1 purple sock on the bar graph? Explain your reasoning. LOADING... Click the icon to view the bar graph. 5. Choose the correct answer below. A. How many students are there in the classroom? B. Which color comes first in the rainbow? C. What color socks is the teacher wearing? D. What color socks are you wearing?
Answer:
A.
Step-by-step explanation:
All of the other questions don't make sense because they are statistical
If 1 measures 135°, what is the measure of 6? (Lines b and c are parallel.)
135°
65°
90°
45°
The Question is Incomplete, the Complete Question is with figure is below.
Answer:
Therefore,
The Measure of angle 6 is
[tex]\angle 6 =45\°[/tex]
Step-by-step explanation:
Given:
m∠1 = 135°
Lines b and c are parallel.
To Find:
m∠6 = ?
Solution:
Linear Pair:
A linear pair of angles is formed when two lines intersect.
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Example
∠ 1 and ∠ 2 ∠ 1 and ∠ 3 ,etc
[tex]\angle 1 + \angle 3 = 180\°[/tex]
Substituting the values we get
[tex]135 + \angle 3 = 180\\\\\angle 3 = 180-135=45\°[/tex]
Now,
Lines b and c are parallel. .Given
When Two lines are Parallel Alternate interior angles are equal
∠ 3 and ∠ 6 are Alternate Interior angles
[tex]\angle 3 = \angle 6[/tex]
But [tex]\angle 3 =45\°[/tex]
[tex]\angle 6 =45\°[/tex] ...Transitive Property
Therefore,
The Measure of angle 6 is
[tex]\angle 6 =45\°[/tex]
What is the product of 4.6 and 3 written in word form?
Answer: Thirteen and Eight tenth
Step-by-step explanation:
Product means multiplication
From the question, 4.6 x 3 = 13.8
Cullen is 10 years younger than Ada. The product of their ages 2 years ago was 39.
Answer:
15
Step-by-step explanation:
The age cullen is 5 yrs and Ada is 15 years old.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Cullen is 10 years younger than Ada.
The product of their ages 2 years ago was 39.
let the age of ada be x
Cullen's age = x- 10
22 years ago there age will be
Ada = x-22
Cullen = x-32
Now, the product of their age is 39
(x-2)(x-12)=39
x²-12x-2x + 24=39
x² -14x + 24=39
x² - 14x -15 = 0
x² -15x + x- 15=0
x(x-15) + 1(x-15)=0
(x-15)(x-1)=0
x= 15 or -1.
Hence, the age of Ada is 15 yrs and cullen age is 5.
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express 0.29 as a fraction
Answer:
29/100
Step-by-step explanation:
Answer: 29/100
Step-by-step explanation:
The 2 is in the Tenth place
The 9 is in the Hundredths place
so get 29/100
Example: .5 as a fraction
Answer: 5/10
C and D are complementary. The measure of C is (4x) degrees and the measure of D is 26 degrees. What is the value of x
Answer: x=16
Step-by-step explanation:subtract 26 from 90 then divide 64 by 4 and you get 16
Answer:
X=16
Step-by-step explanation:
The answer is 16. 90-26/4=16
the cube and rectangular prism have the same base area and height. how can you use this information to determine the volume of the pyramid?
The given pyramid's volume is 40 cubic units.
Step-by-step explanation:
Step 1:
It is given that base areas of the pyramid and the prism are the same. The height is also equal.
The rectangular prism's height is 15 units so as per the given question, the height of the pyramid is also 15 units.
Step 2:
The volume of this pyramid is obtained by multiplying [tex]\frac{1}{3}[/tex] with the product of the pyramid's length, width, and height.
For the given pyramid, length = 2 units, width = 4 units and the height = 15 units.
The pyramid's volume [tex]= \frac{1}{3} (length)(width)(height)[/tex] = [tex]\frac{1}{3} (2)(4)(15) = \frac{1}{3} (120)[/tex] = 40 cubic units.
So the volume of the given pyramid is 40 cubic units.
The radius of a fishing line is 2.5*10^-4 foot. Write this number in standard form. Then write your answer using inches.
To write the radius of the fishing line in standard form, it is 0.00025 foot. In inches, the length is 0.003 inches.
Explanation:The radius of the fishing line is given as 2.5*10^-4 foot. To write this number in standard form, we first need to convert it into decimal form.
To do this, we move the decimal point four places to the left, since the exponent is negative. This gives us 0.00025.
Therefore, the number in standard form is 0.00025 foot.
To convert this into inches, we know that there are 12 inches in a foot. So, we multiply the length in feet by 12 to get the length in inches.
Therefore, the length of the fishing line in inches is 0.00025 foot * 12 inches/foot = 0.003 inches.
How do yo solve (x-5)(-3)=18
Answer:
x = -1
Step-by-step explanation:
Given
(x - 5)(-3) = 18
Expand the bracket
x X -3 -5 x -3 = 18
-3x + 15 = 18
Subtract 15 from both sides
-3x + 15 - 15 = 18 - 15
-3x = 3
Divide both sides by -3
-3x/-3 = 3/-3
x = -1
9.86 divided by 0.85
Answer:
9.86 / 0.85 = 11.6
Step-by-step explanation:
What is the coefficient of x in the expression?
6x + 9y + 15z
A) 3
B) 6
C) 9
D) 15
Answer:
The coefficient is the number before x. So it is 6.
Answer:
Step-by-step explanation:
the answer is B) 6
Question is;
Find the number of roots/solutions for the quadratic equation: x^2 + 4 = 0
Unsure about how to figure that out, as we don't have bx. Please help
Answer:
(x-2)(x+2)
Step-by-step explanation:
if we expand the above quadratic we can see that the -2x and + 2x will cancel eachother out therefore there is no bx in this quadratic equation
Answer:
No roots/solutions
Step-by-step explanation:
No bx means b = 0
B² - 4AC
(0)² - 4(1)(4)
-16 < 0
Gardner want to fence a circular garden of diameter 21 metre find the length of the wire he needs to purchase and cost of it at rupees 4 per metre
The cost of wire to purchase is Rs 264.
Step-by-step explanation:
Given,
The diameter of the circular garden is 21 m
The radius(r) = [tex]\frac{21}{2}[/tex] m
To find, the length of wire of the fence we need to find the circumference.
Formula
The circumference of the circle = 2πr meter
=2×[tex]\frac{22}{7}[/tex] ×[tex]\frac{21}{2}[/tex] m
=66 meter
So, the length of the wire = 66 m
The cost of wire Rs 4 per meter.
The total cost = Rs 4 × 66
= Rs 264
12t+12=-24 what is t?
Answer:
t=-3
Step-by-step explanation:
12t+12=-24
12t=-36
t=-3