what do u need help with?
A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volume
Answer:
Total surface area=728cm^2
Volume of pyramid=1241.33 cm^3
Step-by-step explanation:
Given data
Square base= 14cm
Height= 19cm
Slant height = 21cm
Area of all four triangular surfaces= 1/2B*H*4
Area of all four triangular surfaces= 1/2*14*19*4
Area of all four triangular surfaces= 1/2*1064
Area of all four triangular surfaces=532 cm^2
Area of square base= 14^2
Area of square base=196cm^2
Total surface area= Area of all four triangular surfaces+Area of square base
Total surface area=532+196
Total surface area=728cm^2
Volume of pyramid= a^2h/3
Volume of pyramid= 14^2*19/3
Volume of pyramid= 196*19/3
Volume of pyramid=3724/3
Volume of pyramid=1241.33 cm^3
Can someone please help me with number 4 ASAP please and ty!
Answer:
Option DStep-by-step explanation:
Here,
3x - 5
There is 3 as coefficient of x and -5 constant.
Hence,
Option D is correct
5-ſ
To rationalize the denominator of
9-14 · you should multiply the expression by which fraction?
5+√7
9-14
9- V14
9-√14
9+ 14
9+ V14
14
14
We should multiply the expression by (9+√14) fraction.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is; (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Learn more about multiplications;
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Amelia needs to buy some cat food. At the nearest store, 2 bags of cat food cost $4.50. How much would Amelia spend on 6 bags of cat food?
Answer:
$13.50
Step-by-step explanation:
2 bags of cat food = $4.50
1 bag of cat food = 2/4.50
= 2.25
6 bags of cat food = 2.25*6
=13.50
If two-point charges, 2000 meters apart, have charge values of 40 C and -40 C, respectively, what is the value of the mutual force between them? (Coulomb's constant = 9.0 x 109 N•m2/C2).
Answer:
The value of the mutual force between them is 3.6 x 10⁶ N
Step-by-step explanation:
Given;
distance between the two-point charges, r = 2000 m
the value of the two-point charges, q₁ and q₂ = 40 C and -40 C
Coulomb's constant, k = 9 x 10⁹ Nm²/C²
The value of the mutual force between them is calculated by applying Coulomb's law;
[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]
Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.
jasmine decorates 7 bags. she uses 5over8 yard of ribbon on each bag
Divide $81 in ratio 4:5
Answer:
36:45
Step-by-step explanation:
$81. u add the ratios 4+5=9
$81/9=9
9*4=36
9*5=45
Mai solved the equation below incorrectly. Identify Mai's error.
5 points
3(x + 4) - 10 = 1/10 (4x + 16)
3x + 12 - 10 = 2x + 8
3x + 2 = 2x + 8
5x + 2 = 8
5x = 6
X = 6/5
Which equation represents this line in point-slope form?
A.(y + 4) = (4)/(3) (x + 3)'
B. (Y-4) = -(4)/(3) (x +3)
C. Y= -(3)/(4)X'
D.4y- 3x = 0
Answer:
. (Y-4) = -(4)/(3) (x +3)
Step-by-step explanation:
Which equation represents this line in point-slope form?
Answer: B
Step-by-step explanation:
Find the gradient of the following line
Is (–9, 7) a solution to this system of inequalities?
x + y ≤ –7
7x − 4y > –4
Answer:
No
Step-by-step explanation:
[tex]7x-4y>-4[/tex]
[tex]7(-9)-4(7)>-4[/tex]
[tex](-63)-(28)>-4[/tex]
[tex](-91)>-4[/tex]
[tex](-9,7)[/tex] is not a solution to the system of inequality
Which equation represents this graph?
(B)
.....................
i really need help to understand this!
Answer:
I believe 90
Step-by-step explanation:
because if you take away 25 (40 pounds) from 100, you divide 100 by 2 to see how many pounds that are 2 $ fit in 100
100/2=50 (pounds)
so 50pounds + the 40pounds (which was the 25$ i took off to make it easier) =90 pounds
hope I helped and feel free to ask questions :)
I suck at math help if you know and explain plz and thank you!
Answer:
13Y
Step-by-step explanation:
7+6 = 13
Answer:
Step-by-step explanation:
7y+6y
y(7+6)
y*13
13y
Or
since they are like term u simply add them
7y+6y
13y
Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!
The value of x that makes ABCD a parallelogram is C. x = 70°.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal.
It is already given.
Also, adjacent angles of a parallelogram is equal to 180°.
So,
x + 40 + 70 = 180
x + 110 = 180
x = 180 - 110
x = 70
Hence the correct option is C. x = 70°.
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Can someone help me with this question ?
Determine whether each expression is equivalent to 81^0.5t+0.25
Answer
27^0.5+0.25 or 3^0.5+0.25
3^2t + 1/4 expression is equivalent to 81^0.5t+0.25.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 81^0.5t+0.25
Simplifying the given expression:
=> 81^0.5t+0.25
Simplify using the exponent power rule: (a^m)^n = (a)^mn
Convert decimal to fraction:
=> (3⁴ )^0.5t + 25/100
Cross out the common factor:
=> 3^2t + 1/4
therefore, 3^2t + 1/4 expression is equivalent to 81^0.5t+0.25.
Learn more about expression here:
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hey! i’ll give brainliest please help
Answer:
subject
Step-by-step explanation:
subject is a noun (person, place or thing)
verb is doing something *example: running
object is a thing *example: apple
conjunction is a word used to connect sentences *example: but
Question 5: Write each of the following in the form 9^n
(a) 81
(b) 3
(C) 27
Answer:
a) 9^2
b) 9^(1/2)
c) 9^(3/2)
Step-by-step explanation:
It is perhaps easier to start by using 3^n.
3 = 3^1
27 = 3^3
81 = 3^4
Recognize that 3 = 9^(1/2) and replace 3 in each of the above. The applicable rule of exponents is (a^b)^c = a^(bc).
a) 81 = (9^(1/2))^4 = 9^2
b) 3 = 9^(1/2)
c) 27 = (9^(1/2))^3 = 9^(3/2)
Answer:
(a) 9^2
(b) 9^0.5
(c) 9^1.5
Step-by-step explanation:
We need to find n such that 9^n = value indicated.
Recall that n=2 is a square, so
(a) 9^2=9*9=81
Recall that n=0.5 (or 1/2) is a square root, because 9^0.5 * 9^0.5 = 9^1 = 9, so
(b) 9^0.5 = 3, because 3*3 = 9
Recall that multiplication of two powers with the same base is the sum of the exponents, e.g. 9^a * 9^b = 9^(a+b).
Therefore,
(c) 27 = 9*3 = 9^1 * 9^0.5 = 9^(1+0.5) = 9^1.5
What part of the circle is shown?
Answer:
Diameter
Step-by-step explanation:
The diameter is a straight line through the centre of a circle.
Hope this helps :)
If you flew 8000 miles in 20 hours what was your unit rate
Answer:
400 miles per hour
Step-by-step explanation:
8000 miles ÷ 20 = 400 Miles
20 hours ÷ 20 = 1 hour
The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.
Answer:
6 cm
Step-by-step explanation:
Given :
base is 9cm, Height is 4cm, and Length is 12cm.
Volume of triangular prism :
V = 1/2 * base * height * length
V = 1/2 * 9 * 4 * 12
V = 9 * 2 * 12
V = 216 cm³
Volume of a cube = a³
Where , a = side length
If 216cm³ is melted to form a cube
Then ;
a = 216^1/3
a = 6 cm
help plzzzz i need to find the volume of the cone
Answer:
2h3-r5
Step-by-step explanation:
first 3-2=5
then 2h3-r=2h3-r5
finally 2h3-r5
Answer:
3.28653¯V7h
Step-by-step explanation:
If the cost of air freight insurance is
$2.25 per $100, what is the cost of
insuring a case of liquor valued at $600
Answer:
13.5
Step-by-step explanation:
What is the approximate volume of the cone? Use 22 for it. Enter your answer in the box.
3 cm
14 cm
About
cm3
Step-by-step explanation:
[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]
The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000;
$90,000; and $17,000. Which measure of central tendency is most appropriate to
calculate?
Answer:
i honestly dont even know myself
Step-by-step explanation:
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use '<="for < or ">" for >.
(-3,0)
X
5
(0, -3)
-5
Given:
The graph of an inequality.
To find:
The inequality in slope intercept form.
Solution:
The slope intercept form is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))[/tex]
[tex]y=\dfrac{-3}{3}(x+3)[/tex]
[tex]y=-1(x+3)[/tex]
[tex]y=-x-3[/tex]
From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".
[tex]y\geq -x-3[/tex]
Therefore, the required inequality is [tex]y\geq -x-3[/tex].
What is 972 written in standard form
The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of 3.2 miles per hour. What percent of drivers are traveling between 70 and 80 miles per hour based on this distribution
Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
Step-by-step explanation:
Let X be a random variable that represents the speed of the drivers.
Given: population mean : M = 72 miles ,
Standard deviation: s= 3.2 miles
The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:
[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]
Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
Write in standard form: forty-seven hundredths
Answer:
0.47
Step-by-step explanation:
0.47
47 hundredths is equal to 0.47.
If this helps please mark as brainliest
Answer:
The standard form of forty-seven hundredths is 0.47.
Step-by-step explanation:
Have a nice day! :-)
TeamRocket3