find the volume of the square pyramid
To find the volume of square pyramid, We use the formula that given below.
[tex] {x}^{2} \times \frac{y}{3} [/tex]
where x is base and y is height. So, let's substitute the values.
[tex] {10}^{2} \times \frac{18}{3} [/tex]
It gives
[tex]600 {cm}^{3} [/tex]
ㅤㅤㅤ~Volume of the given square pyramid is 600cm³
ㅤ
Ⲋⲟⳑⳙⲧⳕⲟⲛ :Volume of square pyramid is given by:
[tex] \qquad\maltese\quad{\pmb{ \sf { V = \dfrac{1}{3} ( base\:area)\times height}}}[/tex]
Here, we have:
Height= 18 cmBase length = 10 cmArea of square = side × side Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ,[tex] \quad\dashrightarrow\quad \sf {V = \dfrac{1}{3}\times 10\times 10\times 18 }[/tex]
[tex] \quad \dashrightarrow \quad \sf {V =\cancel{\dfrac{1800}{3} } }[/tex]
[tex] \quad \dashrightarrow \quad \sf {V = 600cm^3 }[/tex]
ㅤㅤㅤㅤㅤㅤ~Hence, the volume of given square pyramid is 600cm³.
[tex] \rule{350pt}{1pt}[/tex]
HELP IM TIMED PLEASE
Emesto tried to determine the solution for the system of equations using substitution. His work is shown below. x-y=7 3x – 2y = 8 Step 1: x= y + 7 Step 2: 3y + 7) – 2y = 8 Step 3: 3y + 7 – 2y = 8 Step 4: y + 7 = 8 Step 5: y = 1
in which step did Ernesto make the first error?
A. step 1
B. Step 2
C. step 3
D. step 4
Answer:
d step 4
Step-by-step explanation:
hope it helps you on what u are doing
how manh solutions does the system have
Answer:
Step-by-step explanation:
To find how many solutions that this system equation has, we must solve it
since y equals to both '-5x +1' and '1-5x' we can set them equal to each other and get:
[tex]-5x+1 = 1-5x\\0 = 0[/tex]
So there are infinitely many solutions as we got 0 = 0
Hope that helps!
What is an equation of the line that passes through the points (-4, -5) and
(-8, -2)?
To find the equation, First step is to find the slope which we can use in the formula and then we will find the equation using the specific formula...
Finding slope ⤵️[tex] \boxed{ \sf \:m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} }[/tex]
(x1,y1) = (-4,-5)(x2,y2) = (-8,-2)[tex] \tt \to \: m = \frac{ - 2-( - 5)}{ - 8 -(- 4)} [/tex]
[tex] \tt \to \: m = \frac{ -2+5}{ -8+4} [/tex]
[tex] \tt \to \: m = - \frac{3}{4} [/tex]
Now, Put the values in the formula used to find the equation ⤵️[tex] \boxed{ \sf \:y - y_{1} = m(x - x_{1}) }[/tex]
(x1,y1) = (-4,-5)[tex] \tt \nrightarrow \: y - ( - 5) = - \frac{3}{4} (x - ( - 4))[/tex]
[tex] \tt \nrightarrow \: y + 5 = - \frac{3}{4} (x + 4)[/tex]
[tex] \tt \nrightarrow \: y + 5 = - \frac{3}{4} x - 3[/tex]
[tex] \tt \nrightarrow \: y = - \frac{3}{4} x - 3 - 5[/tex]
[tex] \bf\nrightarrow \: y = - \frac{3}{4} x - 8[/tex]
The solution is, The equation the line is, y = -3x/4 -8
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have
two points (-4, -5) and (-8, -2)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y+5)/(x+4)=(-2+5)/(-8+4)
=>(y+5)/(x+4)= 3/ -4
=>-4y - 20 = 3x +12
=> -4y = 3x + 32
=> y = -3x/4 -8
Hence, the required equation is, y = -3x/4 -8
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A store pays a 5% commission on the first $300 of a sale. If the sale is
greater than $300, the store pays a 9% commission on the amount
above $300. Which is the commission on a $900 sale?
Answer:
$69
Step-by-step explanation:
First, we want to focus on the first $300
Multiply 300 by 0.05 to get the commission
300 x 0.05 = 15
Now, we solve for the first 300, let's solve for the remaining sales, which is 600 because 900 - 300 = 600
Multiply 600 by 0.09
600 x 0.09 = 54
Add the two sales commission numbers together
15 + 54 = 69
An urn contains 4 purple marbles and 3 pink marbles. Two marbles are drawn at random. What is the probability that both marbles are purple
if drawn with replacement?
Answer: 16/49
Step-by-step explanation:
The probability of pulling a purple marble is 4/7, since 4+3 is 7.
Since the marbles are replaced, the probability does not change when pulling out marbles.
To combine probabilities, we multiply them
[tex]\frac{4}{7} * \frac{4}{7} = \frac{16}{49}[/tex]
Step-by-step explanations
possibility=4+3=7
4/7=4/7
Please help with this
Answer:
2.5 feet per minute
Step-by-step explanation:
Rate of Change: [tex]\frac{75-25}{30-10}[/tex] = 50/20 or 5 feet every 2 minutes or
2.5 feet per minute
What is 0.7¯(the line is suppose to be ontop of the seven) expressed as a fraction in simplest form?
Answer:
the answer is just 7/9
A can of corn is modeled below. The diameter of the cylinder is 6 cm and the height is 10 cm.
The Volume of a Cylinder can be find by using the formula V=Bh
Vhich expression can be used to show the B (the area of the base) of the can of corn?
Step-by-step explanation:
step 1 given
diametre of cylinder 6 cm
height of cylinder 10 cm
using formula
V=Bh
V= 6cm×10cm
V= 60 cm²
A solid's volume is 10 cubic inches. The solid is dilated by a scale factor of 3.5. Kiran says, "I calculated the volume of the image as 35 cubic inches, but I don't think that's right."
A. What might Kiran have done wrong?
B. What is the volume of the image
Answer:
she forgot the exponent on 3.5^3
Step-by-step explanation:
10 x 3.5^3 = 428.7428.75 u^3
The term "dilation" refers to a transformation. The volume of the dilated cube is 428.75 in³.
What is dilation?The term "dilation" refers to a transformation that is used to downsize an item. Dilation is a technique for making items appear bigger or smaller. The picture produced by this transformation is identical to the original shape.
As it is given that the volume of the cube is 10 cubic inches, therefore, the side of the cube is,
[tex]\text{Volume of the cube} = a^3\\\\ 10 = a^3\\\\a =\sqrt[3]{10}[/tex]
Now, we know that dilation always applies to dimensions, therefore the new dimension of the dilated cube will be,
[tex]\text{Side of the dilated cube} = \sqrt[3]{10} \times 3.5\rm\ in[/tex]
Further, the volume of the dilated cube can be written as,
[tex]\rm \text{Volume of the Dilated cube} = Side^3\\\\[/tex]
[tex]= (\sqrt[3]{10} \times 3.5)^3\\\\ = (\sqrt[3]{10})^3 \times (3.5^3)\\\\= 10 \times 3.5^3\\\\= 10 \times 42.875\\\\= 428.75\rm\ in^3[/tex]
A.) The mistake that Kiran made is that she didn't take the cube of the scale factor.
B.) The volume of the dilated cube is 428.75 in³.
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50 POINTS only answer if u know 100% Evaluate the expression 3.14(a^2 + ab) when a = 3 and b = 4.
Answer: 65.94
Step-by-step explanation:
Imagine it’s the summer before you start high school. You’re trying to figure out what to wear for that important first day of school. What should you do with your hair? What shoes should you wear? Write a 100-word letter to a friend—real or imaginary—who’s already in high school and explain your problem. Ask your friend if he or she has any advice for you.
Imagine it’s the summer before you start high school. You’re trying to figure out what to wear for that important first day of school. What should you do with your hair? What shoes should you wear? Write a 100-word letter to a friend—real or imaginary—who’s already in high school and explain your problem. Ask your friend if he or she has any advice for you.
[tex]Dear[/tex] [tex]friend,[/tex]
Aren't you so excited? This fall is when we get into HIGH-SCHOOL! But I have a problem. I need to know what I should wear for the first day! And my hair! Do you have any advice for me, friend? Can you send this letter back with advice, please? Thank you very, very much!
[tex]Sincerely,[/tex]
[tex]Jane[/tex]
heeeeeeeeeeeeeeeeeeeeeeeeeeelp100point
Answer:
2nd choice
Step-by-step explanation:
hope this helps
A cylindrical metal pipe has external diameter of 6cm and internal diameter of 4cm. Calculate the volume of metal in a pipe of length 1 meter. If 1cm^3 of the metal has a mass of 8 grams, find the mass of the pipe.
Answer:
volume is 1570 cm³
mass is 12560 g
Step-by-step explanation:
1m = 100 cm
the volume is :
1/4 x [tex]\pi[/tex] x 6² x 100 - 1/4 x [tex]\pi[/tex] x 4² x 100
= 900 [tex]\pi[/tex] - 400 [tex]\pi[/tex] { v = 1/4 [tex]\pi[/tex] d²h }
= 500 [tex]\pi[/tex]
= 500 x 3.14
= 1570 cm³
the mass of the pipe is:
1570 x 8 = 12560 grams
£150 is invested at 5% compound interest for 2 years. How much will be in the account at the end of the investment?
Answer:
165
Step-by-step explanation:
5% of 150 british pounds = 7.5 British pounds
2 years = 7.5 BS per year
7.5 + 7.5
= 15 british pounds
15 british pounds + 150 british pounds =
165 british pounds
three boys share R2100 in ratio 3:5:7 calculate how much each boy will get
The amount each boy receives from the R2100 is R420, R700 and R980 respectively
How to find ratioTotal amount = R2100
Ratio = 3 : 5 : 7
Total ratio = 3 + 5 + 7
= 15
First boy = 3/15 × 2100
= 0.2 × 2100
= R420
Second boy = 5/15 × 2100
= 0.33333333333333 × 2100
= R700
Third boy = 7/15 × 2100
= 0.46666666666666 × 2100
= R980
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Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 4 yards? Select all that apply.
A) 15 feet
B) 150 inches
C) 3 yards, 4 feet
D) 3 feet, 15 inches
E) 10 feet, 11 inches
Answer:
A B and C are correct
Step-by-step explanation:
4 yards = 12 feet = 12x12 = 144 inches
A is correct since 15 feet > 12 feet
B is correct since 150 inches > 144 inches
C is correct since 3 yards + 4 feet = 4 yards and 1 foot > 4 yards
D is incorrect since 3 feet + 15 inches is 4 feet and 3 inches < 12 feet
E is incorrect since 10 feet + 11 inches < 12 feet
50 points HELLP!!!!!!!!!!!!!!!!!!!
Answer:
-(8,-1)
Step-by-step explanation:
Answer:
c. -8,-1
Step-by-step explanation:
Hope this helps.
~Learning with Natalia~
Based on the graph, how many distinct real number solutions does the equation x3 – 3x2 4 = 0 have? no real number solution one real number solution two real number solutions three real number solutions.
Answer:two real number solutions
Step-by-step explanation:
A 10-ft vertical post casts a 126-in shadow at the same time a nearby cell phone tower casts a -ft shadow. How tall is the cell phone tower?
Answer: 10 feet post-1.167 ft shadow
119 feet shadow
Step-by-step explanation: brainliest pls
please help me with this
y=6x+2
y=3x+1
solve with substution
6x + 2 and 3x + 1 are both equal to y, so they are both equal to each other.
6x + 2 = 3x + 1
3x = -1
x = -1/3
And plugging -1/3 in for x yields y = 0.
The inverse of the logarithmic function f(x) = log0. 5x is f−1(x) = 0. 5x. What values of a, b, and c complete the table for the inverse function?.
The values of a, b, and c to complete the table for the inverse of the logarithmic function is 2,1 and -2 respectively.
What is the inverse of the logarithmic function?The Inverse of the logarithmic function is an exponential function.
The given logarithmic function is,
[tex]f(x) = \log_{0. 5}x[/tex]
The inverse of the given logarithmic function is,
[tex]f^{-1}(x) = 0.5^x.[/tex]
Put the value of x as -1 from the table attached below, to find the value of a.
[tex]f^{-1}(-1) = 0.5^{(-1)}\\f^{-1}(-1) = 2[/tex]
Similarly, put the value of x as 0 from the table attached below, to find the value of b.
[tex]f^{-1}(0) = 0.5^{(0)}\\f^{-1}(0) = 1[/tex]
Now, put the value of x as 2 from the table attached below, to find the value of c.
[tex]f^{-1}(2) = 0.5^{(2)}\\f^{-1}(2) = -2[/tex]
Thus, the values of a, b, and c to complete the table for the inverse of the logarithmic function is 2,1 and -2 respectively.
Learn more about the inverse of the logarithmic function here;
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What is the value of x in the figure?
Enter your answer in the box.
X
610
x=
1
Answer:
they are right!!!!!!!
Answer:
figure????
X
610
x=
1
Solve for x.
7x/−10=−42/5
Answer:
x=12
Step-by-step explanation:
[tex]-\frac{7x}{10} =-\frac{42}{5}[/tex] multiply both sides by -10 as the first step to get x by itself
[tex]7x =84[/tex]. divide both sides by 7
x = 12
50 points helppppppppppppppppppppppppppppppppppppppppppppppp i need it fast
Answer:
a) 15.625 cm²
b) 8 cm²
c) 50 cm²
d) 12 cm²
Step-by-step explanation:
a) area of a parallelogram = base x height
⇒ area of yellow shape = 1/2 x base x height
= 1/2 x 12.5 x 2.5
= 15.625 cm²
b) area of triangle = 1/2 x base x height
= 1/2 x 2 x 8
= 8 cm²
c) area of a parallelogram = base x height
area yellow parallelogram = (10 x 6) - (5 x 2) = 50 cm²
d) area of a parallelogram = base x height
⇒ area of a 1/2 parallelogram = 1/2 x base x height
⇒ area yellow shape = 1/2 x 12 x 2 = 12 cm²
Bonds issued by Animite Energy are selling at a rate of 95. 230. Which of the following statements is true for a bond of par value $1,000? a. The market value includes a premium of $5. 23. B. The market value includes a premium of $10. 50. C. The market value includes a discount of $47. 70. D. The market value includes a discount of $95. 23.
The statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.
What is market value?Market value is the current price of a product, company, or something consorting to the stock of the market.
It is the price which is required to buy something in the current market.
Bonds issued by Animite Energy are selling at a rate of 95.230. This is the bond percentage of the Animite energy in the market. This means if someone wants to buy 95.230 of this company's bond, then he get $100.
Now for the 1000 bonds, the amount required is,
[tex]C=95.230\times10\\C=952.30[/tex]
Hence, for the 1000 bonds, the amount required is 952.30. Therefore, the discount will be,
[tex]d=1000-952.30\\d=47.70[/tex]
Hence, the statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.
Learn more about the market value here;
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Answer:c
Step-by-step explanation:
17/11=y/9 Round your answer to the nearest tenth
Answer:
y = 153/11
Step-by-step explanation:
help please first correct answer gets brainleist
Answer:
[tex]\sf 4\frac{2}{5}[/tex]
steps to solve:
[tex]\sf 2\frac{3}{4} \ / \ \frac{5}{8}[/tex]
[tex]\sf \frac{11}{4} \ / \ \frac{5}{8}[/tex]
[tex]\sf \frac{11}{4} \ * \ \frac{8}{5}[/tex]
[tex]\sf \frac{88}{20}[/tex]
[tex]\sf \frac{22}{5}[/tex]
[tex]\sf 4\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\sf{\implies\frac{11}{4} \div \frac{5}{8} } \\ \sf{\implies \frac{11}{4} \times \frac{8}{5} } \\ \sf{\implies \frac{22}{5} }[/tex]
2 3/4 =11/4
Giving brainly please don’t answer wrong!
Answer:
Clay bowl because it is on -1168 feet
Answer:
Clay Bowl.
Step-by-step explanation:
The clay bowl has the lowest elevation out of the others. (-1168).
