Answer:
The upper bound of the area is 6.69375 cm²
The lower bound of the area is 6.32875 cm²
Step-by-step explanation:
The question relates to measurements and accuracy
The given information are;
The base length of the triangle = 3.1 cm
The height of the triangle = 4.2 cm correct to one decimal place
The lower bound for the base length of the triangle = 3.05 cm
The upper bound for the base length of the triangle = 3.15 cm
Similarly, the lower bound for the height of the triangle = 4.15 cm
The upper bound for the height of the triangle = 4.25 cm
The formula for calculating the area of a triangle is given by the following formula;
Area of a triangle = 1/2 × Base × Height
The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height
The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²
The upper bound of the area = 6.69375 cm²
The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height
∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²
The lower bound of the area = 6.32875 cm²
The endpoints of AB¯¯¯¯¯¯¯¯ are A(9,−4) and B(5,5). Find the coordinates of the midpoint M. Coordinates of midpoint M: ( , )
Answer:
Step-by-step explanation:
(9 + 5)/2= 14/2= 7
(-4 + 5)/2= 1/2
(7, 1/2) Coordinates of Midpoint M
8. Write `6.43\cdot10^{3}` in standard notation
9. Write `8.456\cdot10^{7}`
10. Write `8\cdot10^{5}` in standard notation
11. Write `9\cdot10^{10}` in standard notation
12. Describe how you would write 3,482,000,000 in scientific notation as if you were explaining it to someone who didn't know what scientific notation was.
just move the decimal point where the exponent indicates
there are no negative exponents here so none of these numbers will be decimal:
8. 6430, moved the decimal point 3 places to the right
9. 84560000 moved the decimal point 7 places to the right
10. 800000 (six zeros)
11. 90000000000 (ten zeros)
12. 3.482^9 (I'll use this one as example)
To convert a number to scientific notation, move the point just after the first number from left to right (that is not zero), remove the zeros that are from right to left if there are any (for example, if you have 45002 it is not needed to remove any because there is a significant number is in front of the two zeros, instead, if we have a number like 2046000, the last three zeros are removed).
there you will have the number: 3.482
Then, count how many places the point moved (in the original number) and that will be the exponent
3,482,000,000
moved 9 places
this isn't a decimal number so the exponent will be positive
3.482^9
2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.
Answer: angle 1 and 3 measure 29 degrees.
angle 2 and 4 measure 151 degrees.
Step-by-step explanation:
the cube root of 64
Answer:
Step-by-step explanation:
The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3√64=4.
If 5 n · 5 3 = 5 6 , then n is _____.
Answer:
n = 109/ 5 if the expression is 5n - 5.3 = 56
Marcus drives 32 miles to work each day. He records the number of minutes it takes to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table.
Answer:
1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table, like the one shown below. Speed (mph) 60 45 55 Time (minutes) 32 43 35 50 62 38 31 If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation? A 10.65) B (65) C (0.65) D. (65
3. On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?
Answer:
b
Step-by-step explanation:
im 50% sure this write dont blame me man
The coordination of the ship's position at noon will be (0.5,2).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. they are typically expressed by the x-value and y-value pairs (x,y).
As per the given L(-4,7) and B(5,-3)
The midpoint of the above coordinates will be given as,
x = (-4 + 5)/2 = 1/2
y = (7 - 3)/2 = 2
Thus, (0.5,2) will be the location of the ship.
Hence "The coordination of the ship's position at noon will be (0.5,2)".
For more about coordinates,
brainly.com/question/7869125
#SPJ2
The missing photo is attached below,
expanded form using fractions 1/100
Answer:
Standard form: 1
Step-by-step explanation
expanded notation form: 1
expanded factors form: 1x1
expanded exponential for 1x 10^0
Jordan borrowed some money from his friend in order to help buy a new video game
system and agreed to pay the friend back a constant amount each week. Jordan
originally borrowed $120 from his friend and after 2 weeks, he still owed his friend
$90. Write an equation for L, in terms of t, representing the amount Jordan owes
his friend after t weeks.
Answer:
l=-15t+120
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total amount borrowed = $120
Amount left to pay after 2 weeks = $90
This means,
In 2 weeks the amount paid.
= 120 = 90
= $30
The amount paid per week is constant.
2 week = $30
Divide both sides by 2.
1 week = $15
Now,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
Thus,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
In this diagram, how many points are coplanar with points A, B and R?
four
six
two
one
- Make T the subject of the formula l=gt/4π²
Answer:
[tex]t = \frac{4\pi {}^{2} l}{g} [/tex]
Step-by-step explanation:
[tex]l(4\pi ^{2} ) = gt \\ \frac{4\pi {}^{2} l}{g} = t \\ t = \frac{4\pi {}^{2} l}{g} [/tex]
jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?
Answer:
-20
Step-by-step explanation:
Answer:
it is -20
Step-by-step explanation:
I need help understanding this ASAP PLZ!!!!
Answer:
[tex]x\geq -2[/tex]
Step-by-step explanation:
well the values for x are from -2 to ∞
so we can write it as
[tex]x\geq -2[/tex]
a scientist wants to study 24 stars he studies 1/3 of them one week and 1/4 of them next week how many of them are left to study?
Jasmine needs to make a bouquet of 24 yellow and orange carnations. The ratio of yellow carnations to all of the carnations must be 1 to 3. She determines that she will need 8 orange carnations for the bouquet. Which statement correctly describes her error?
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Rachel's chocolate bar is 43% cocoa. If the weight of the chocolate bar is 68 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer:
29.24 grams
Step-by-step explanation:
It is given that,
Rachel's chocolate bar is 43% cocoa
The weight of the chocolate bar is 68 grams
We need to find how many grams of cocoa does it contain. It means it will contain 43% of 68 grams. It can be solved as follows :
[tex]C=\dfrac{43}{100}\times 68\\\\C=29.24\ \text{grams}[/tex]
Hence, it will have 29.24 grams of cocoa.
50 POINTS IF YOU CAN HELP! ASAP
Answer:i don’t even see the question... what is is?
Step-by-step explanation:
the correct simplified form of 2y5+4y5−3y3−5y3
Hey there! I'm happy to help!
Numbers with the same variable and exponent are like terms and can be simplified.
[tex]2y^5+4y^5=6y^5[/tex] (variable is y, exponent is 5)
[tex]-3y^3-5y^3=-8y^3[/tex] (variable is y, exponent is 3)
So, our final simplified form is [tex]6y^5-8y^3[/tex].
Have a wonderful day! :D
answerers about Caca Andika from Indonesia
Jade wants to verify that the expression 5(3x – 6) is equivalent to 15x – 30. She substitutes 2 into each expression and evaluates each one. How will she know if 5(3x – 6) is equivalent to 15x – 30?
They are equivalent if the two values are the same.
They are equivalent if the value for 5(3x + 6) is greater.
They are equivalent if the value for 15x + 30 is greater.
They are equivalent if one value is negative and the other value is positive.
Answer:
They are equivalent if the two values are the same.
Step-by-step explanation:
i got it right on the test
Answer:
A
Step-by-step explanation:
Is -2.7 an irrational number
Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends.
Which equation represents the total cost, C. in dollars, for a month when Eric sends text messages?
O A C = 40.021
O B C = 40 -0.021
OC C = 0.021 - 40
OD. C = 0.021 + 40
Answer:
A. 40.021
Step-by-step explanation:
Unlimited calls = $40
Text message = $0.021
NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.
Total cost = Cost of unlimited calls + cost of text messages
C = $40 + $0.021
= $40.021
Therefore, the equation which represent the total cost in dollars for a month is 40.021
A. 40.021
Answer:
he is right^ A.
Step-by-step explanation:
Reduce the fraction into simplest terms. 9/12
Answer:
3/4
Step-by-step explanation:
divided by 3 to get the answer.
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
9 can also be written as 3×3 & 12 can also be written as 3×4.
So if we gonna cancel out a 3 from 9 & 12 , then the remaining numbers in 9 & 12 will be 3 & 4.
[tex]\frac{9}{12}=\frac{3*3}{3*4} = \frac{3}{4}[/tex]
Evaluate this expression -|-3|
Answer: absolute value: -3
answer without absolute value: 3
Step-by-step explanation:
Since it has absolute value signs, you will take it out of it and since it is a - (-) it turns the 3 positive, however in absolute value form it is -3
Answer:
-3
Step-by-step explanation:
-l -3 l
-l 3 l
-3
hope this helps
102 + 7y = 16
15x + 8y 29
Is this consistent or inconsistent
Answer:
Step-by-step explanation:
18y
He repartido mi colección de canicas entre mis tres amigos. A thales le he dado 1/5 del total, a arquimedes un 1/3 del resto y por último a pitagoras le he regalado las 16 canicas que me quedaban
Answer:
Ok, supongamos que en total hay N canicas.
1/5 de esas canicas se le dieron a Thales.
Entonces el resto ahora es:
1 - 1/5 = 4/5.
1/3 de esas canicas se le dieron a Arquimedes.
Entonces Arquimedes recibe:
(1/3)(4/5) = 4/15 de las canicas totales.
El resto, que eran 16, se le dieron a Pitagoras.
Ahora, las dos primeras entregas fueron:
1/5 + 4/15 = 3/15 + 4/15 = 7/15.
El resto seria:
1 - 7/15 = 8/15.
Y sabemos que el resto es igual a 16 canicas, entonces tenemos que:
(8/15)*N = 16.
De aca podemos calcular el numero total de canicas.
N = 16*(15/8) = 30
Esto quiere decir que inicialmente hay 30 canicas.
Thales recibe 30*(1/5) = 7 canicas.
Arquimedes recibe 30*(4/15) = 8 canicas.
Pitagoras recibe 16 canicas.
Can someone help me ASAP pleaseee
Answer:
y = 8x - 26
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6+2}{4-3}[/tex] = 8 , thus
y = 8x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6) , then
6 = 32 + c ⇒ c = 6 - 32 = - 26
y = 8x - 26 ← equation of line
HEY GUYS HELP I HAVE NO CLUE AND I HAVE TO TURN IT IN AT 25 MINUETS
Answer:
elevator 1 ends at floor 23. Elevator 2 ends at floor 42.
Step-by-step explanation:
show all steps for 4.7x+90=5.6x+2.1x
Answer:
x=30
Step-by-step explanation:
4.7x+90=5.6x+2.1x4.7x+90=7.7xSubtract 4.7 on both sides 3x=90x=30True or False: A slope of 0 means the line dosen't move up or down, it is flat
Answer:
Step-by-step explanation: yes
Please I will mark brainlist list
Based on the patten in the table what is the value of a?
-64
-12
1/16
1/64