Answer:
Rectangular pyramid volume: 8×9×9/3 = 216 cm³
Rectangular prism volume: 8×9×7 = 504 cm³
Total volume of composite figure: 216+504 = 720 cm³
Answer:
720 cm³
Step-by-step explanation:
Rectangular pyramid:
Volume = [tex]\frac{1}{3}BH[/tex]
H = 9 cm
B-> base area = area of rectangle
B = length * width = 8*9 = 72 square cm
[tex]Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}[/tex]
Rectangular prism:
length = l = 8 cm
Width = w = 9 cm
Height = h = 7 cm
Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³
Volume of composite figure = volume of pyramid + volume of r. prism
= 216 + 504
= 720 cm³
Convert 2.5 kg into gram
Answer:
2500 grams
Step-by-step explanation:
1kg=1000g
2.5kg=1000×2.5
=2500
Answer:
2500 g
Step-by-step explanation:
1 kg=1000 g
2.5kg=2.5×1000 g
so that 2.5kg = 2500 g
1.Find x,y and z in the figure. 2. find the x and y in the figure
[tex]\\ \sf\longmapsto x+2x+90=180[/tex]
[tex]\\ \sf\longmapsto 3x+90=180[/tex]
[tex]\\ \sf\longmapsto 3x=180-90[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{3}[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
Now
[tex]\\ \sf\longmapsto x=2y[/tex](Opposite interior angles)
[tex]\\ \sf\longmapsto 2y=30[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto y=15[/tex]
And
[tex]\\ \sf\longmapsto x+z=180[/tex]
[tex]\\ \sf\longmapsto z+30=180[/tex]
[tex]\\ \sf\longmapsto z=180-30[/tex]
[tex]\\ \sf\longmapsto z=150[/tex]
Answer:
Figure 1Straight angle is 180°:
2x + 90° + x = 180° ⇒ 3x = 90° ⇒ x = 30°Alternate interior angles are congruent:
2y = x ⇒ 2y = 30° ⇒ y = 15°Consecutive interior angles are supplementary:
x + z = 180° ⇒ z = 180° - 30° ⇒ z = 150°Figure 2Alternate interior angles:
3x = 5x - 20° ⇒ 2x = 20° ⇒ x = 10°Sum of interior angles of a triangle:
2y + 4y + 5x - 20 = 180° ⇒ 6y + 5*10° = 200° ⇒ 6y = 150° ⇒ y = 25°Evaluate Equation Below
Please help!
Answer:
2nd answer
Step-by-step explanation:
4x^3+2
4*(-1)^3+2
4*(-1)+2
-4+2
-2
Answer: -2
Step-by-step explanation:
Replacing x for -1 would make the equation [tex]4(-1^3)+2[/tex]. Knowing PEMDAS, we know that the parentheses goes first. [tex]-1^3[/tex] means that we need to multiply -1 by itself 3 times ([tex]-1*-1*-1[/tex], * equals "times"). [tex]-1*-1=1[/tex] so [tex]1*-1=-1[/tex]. Now our equation is [tex]4(-1)+2[/tex]. [tex]4*-1=-1[/tex] and -4 + 2 = -2. Hope this explanation helps :)
A triangle has two angles that both measure 68º. What is the measure of the third angle?
Answer:
44 degrees
Step-by-step explanation:
The sum of the angles of a triangle is 180
68+68+x = 180
136+x = 180
x = 180-136
x = 44
Answer:
44 degrees
Brainliest, please!
Step-by-step explanation:
The sum of the angles in a triangle is always 180 degrees.
68 + 68 = 136
180 - 136 = 44
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW RHE ANSWER!!
what is the value of x
Answer:
-10
Step-by-step explanation:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.
f(x) = x − x^2, find f(x^2)
Answer:f ( x ) − 1 = √ x + 2
Step-by-step explanation:
Answer:
f(x^2) = x^2 - x^4
Step-by-step explanation:
f(x) = x − x^2,
f(x^2) = (x^2) - (x^2)^2, 2 to the power of 2 equals 4
f(x^2) = x^2 - x^4
Hello!! Please help me solve the question, could you please also tell me which calculator we can use? Thank you
You can use any calculator in Maths.
Simplify 8(15) divided by 8(-3)
Answer:
8(15) / 8(-3)
We could go ahead and solve, but we can also cancel out the 8 from the numerator and denominator.
So we are left with: 15/-3.
And that simplifies to -5.
Let me know if this helps!
The simplification of 8(15) divided by 8(-3) gives -5.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to Simplify 8(15) divided by 8(-3)
8(15) / 8(-3)
We could go ahead and solve, but we can cancel out the 8 from the numerator and denominator.
8(15) / 8(-3) = (15) / (-3)
So we are left with 15/-3.
And that simplifies to gives-5.
Hence, the simplification of 8(15) divided by 8(-3) gives -5.
Learn more about simplification;
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plz help!! will mark brainliest!!
Answer:
correct me if I'm but i think the net cash flow is 3,790 because 2,040 a month income and 1,750 a month for other stuff. 2,040+1,750=3,790
Step-by-step explanation:
the cost of plastering a wall of a room having length 8m and heights 4m at 4s 15 per m² is rs 1560 . find the cost of carpeting the room at rs 300 per m²
Answer:
Here,
length = 8m
height = 4m
4s = 15 per m^2
Now,
300 per meter = 300 * 15 per m^2
= 4500 per m^2
Kandace spent 3/4 an hour putting on her makeup. how many seconds did she spend in front of the mirro?
Answer:
Kandace spent 2700 seconds in front of the mirror
Step-by-step explanation:
3/4 × 60 = 45
She spent 45 minutes on her makeup
If 60 seconds are in a minute,to find how many seconds are in 45 minutes we simply multiply 45 by 60
= 2700
help me please I'm bad at math
Answer:
123
Step-by-step explanation:
Large rectangle:
8 - 3 = 5
5 × 4 × 3 = 20 × 3 = 60
Smaller rectangle:
3 × 3 × 7 = 9 × 7 = 63
Both:
63 + 60 = 123
Hope this helped.
What is the area of the triangle?
16
10
8
Answer:
Where is the picture of the triangle?
Find the discriminant of the quadratic equation x2 + 10x + 24 = 0 and use it to determine the number and types of solutions. b2 − 4ac
Answer:
Step-by-step explanation:
x² + 10x + 24 = 0
Discriminant = 10² - 4×1×24 = 4
The discriminant is positive, so there are two distinct, real solutions.
Answer:
The answer is C) 4; Two real solutions.
Step-by-step explanation:
x2 + 10x + 24 = 0 in the function
x2 resembles a
10x resembles b
24 resembles c
so, let's convert.
b2-4ac
(10) ^2 - 4(1)(24)
100 - 96
= 4
In April, the number of cars sold was 546.
This was an increase of 5% on the number of cars sold in March.
Calculate the number of cars sold in March.
Answer:
520 cars
Step-by-step explanation:
Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520
If there was an increase of 5% on the number of cars sold in March, the number of cars sold in March was approximately 520.
To calculate the number of cars sold in March, we'll use the information that the number of cars sold in April was an increase of 5% compared to March.
Let's assume the number of cars sold in March is represented by 'x'.
According to the given information, the number of cars sold in April was 546, which is equal to 100% + 5% of the number of cars sold in March.
We can set up the equation:
x + 0.05x = 546
Combining like terms, we get:
1.05x = 546
To solve for 'x', we divide both sides of the equation by 1.05:
x = 546 / 1.05
Using a calculator, we find:
x ≈ 520.00
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James is saving 5p and 10p coins. He has 75 coins. The ratio of the 5pto the 10p coins is 1 : 1.5. How much are his coins.
Answer:
the total ratio is 1+1.5=2.5
to get the number of 5p coins you get (1/2.5)*75=30
To get the number of 10p you get
(1.5/2.5)*75=45
so he has 30 5p coins and 45 10p coins so the total value Is given by
(5*30)+(10*45)=600
Plsss help will mark brainliest
Answer:
394
Step-by-step explanation:
11^2+8*11*3+3^2
121+8*11*3+9
121+264+9
385+9
394
Can someone give me an example on how to solve non right angled triangles?
First use the
Pythagorean theorem to find the hypotenuse h of the right triangle.
h = √(62 + 82)
= √(36 + 64)
= 10
The triangles are similar. Find X.
Answer:
By proportion :-
x/2.8 = 3/2.4
x = 3(2.8)/ 2.4
x= 3.5
Answer: C) 3.5
《OAmalOHopeO》
(x+4)^2 - (x-6)^2 - (x-1)*(x+1)
Answer:
-9
Step-by-step explanation:
Divide. Write your answer as a fraction in simplest form. − 1/5÷20=
Answer:
-0.01
Step-by-step explanation:
hope it can work for you mark me as a brain liest plz like and follow me guys
Answer:
-0.01
Step-by-step explanation:
The price for 2 mangoes and 3 guavas is RM 8.00. The price for 3 mangoes and a guava is RM 5.00
i) Form simultaneous linear equations in two variables based on the above situation.
ii) Represent the simultaneous linear equations graphically and explain the type of solutions obtained
here is the answer for question ii
My Math Integers. I'm stuck on this problem.. Someone please help? (-4)(-9) =
Answer:
It is 36
Step-by-step explanation:
minus × minus equals + so its 36
Answer:
36
Step-by-step explanation:
(-4) is -4
then
(-9) then 36
helppp, graph of function!!
The two liquids will have the same temperature at 10 units of time after the start of both processes.
Given: Graph showing changes of temperature of liquid A when it is heated and liquid B when it is cooled
To find: The time when the two liquids have the same temperature
The given graph is plotted such that 'P' representing the temperature of the liquid is taken on y-axis and 'x' representing the time is taken on x-axis.
The graphs of temperature change with respect to time, of both liquids A and B are plotted in the same answer space and it is implied that both processes (heating of liquid A and cooling of liquid B) occurs simultaneously.
The time when both liquids have the same temperature is represented by graphs of both liquids having the same 'P' value at the same 'x' value. In other words, it is represented by a point in the answer space at which the graphs of temperature of both liquids intersect.
As can be seen from the given figure, the graphs of temperature change of liquid A and B intersect at the point (10, 30), that is at 'x = 10'.
Since 'x' represents the time, this implies that the two liquids will have the same temperature at 10 units of time after the start of the experiment (x = 0).
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pls help, and explain. I will give brainliest.
Ratio of apples to strawberries in Angie's salad
= 4:5
= 36:45 (because we multiplied both numerator and denominator by 9, to get the same denominator as the other ratio)
Ratio of apples to strawberries in Salim's salad
= 7:9
= 35:45 (because we multiplied both numerator and denominator by 5, to get the same denominator as the other ratio)
36:45 ≠ 35:45
So, ratio of apples to strawberries in Angie's salad ≠ ratio of apples to strawberries in Salim's salad.
36:45 > 35:45
So, ratio of apples to strawberries in Angie's salad < ratio of apples to strawberries in Salim's salad.
Answer:
Angie used a greater ratio of apples to strawberries because if you divide the apples by strawberries you will find how much apples they put in if they put one strawberry.
Angie’s ratio: 4:5
0.8:1
Salim’s ratio: 7:9 0.77777777:1
Hope it helps
write an equation for a line that is perpendicular to y=1/2x+6
Answer:
y= -2x+6
Step-by-step explanation:
General formula :
y=mx+c
m is the gradient
when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient
The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)
so
the line perpendicular to the equation y=1/2x+6
is y= -2x+6
Madison is thinking of a number. Sixty, decreased by four times the number, is the same as eight
times the number, increased by seventy-two. What is Madison's number?
Answer:
x = -1
Step-by-step explanation:
Let the mystery number be x
Equation:
60 - 4x = 8x + 72
Subtract 60 from both sides
-4x = 8x + 12
Subtract 8x from both sides
-12x = 12
x = -1
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
"The sum of two numbers is 17" <- that's our first equation. Sum means we're going to add. "two numbers" - well, we don't know what they are, so we can use x and y. (Note: x and y are just placeholders. You can use ANY placeholder as long as you keep it consistent with the second equations. x and y just mean "some number". We're going to work to find those numbers)
So for our first equation, we have two numbers being added together. So we can just write that as:
x+ y = 17
For the second equation:
"Three times one number increased by 5 is the same as twice the other number decreased by 4"
We have to work to process what is being asked. “Three times one number increased by 5”. So we know we are multiplying 3 to one of our numbers and increasing it (adding it) by 5.
So this part can be written as 3x+5
“Is the same as” just means “equal to”
“Twice the other number decreased by 4”. So twice, means two times and “decreased by four” just tells us to subtract four. So this part can be written as:
2y-4
Now we need to put this second equation together.
3x+5=2y-4.
So now we have our two equations:
x+y = 17
3x+5 = 2y-4
We have a few ways of solving this. We can use substitution, elimination, or graphing. I’m going to use substitution for this one.
So for substitution, we need to take one of two equations and solve for a single variable. So I’m going to take our first equation and solve for y.
x+y=17
-x. -x
y= -x+17
Now I’m going to put “-x+17” in for the “y” in the second equations.
3x+5=2y-4
3x+5 = 2 (-x+17) - 4. (Now distribute)
3x+5 = -2x + 34 - 4. (Now simplify)
3x+5 = - 2x + 30. (Now we need to get the x to one side)
+2x +2x
5x+5=30
-5. -5
5x = 25
X = 5
Now we can take the first equation and put 5 in for x to solve for y
x+y = 17
5 + y = 17
-5 -5
y= -12
So our x is 5 and our y is 12.
Find an equation of the line through the given points right the final answer in intercept form
Answer:
got it
Step-by-step explanation:
classify the following triangle check all that apply
Answer:
A. Scalene & E. Right
Step-by-step explanation:
The triangle is a scalene-right triangle. It is a right triangle because it has a 90 degree/right angle. It is a scalene triangle because all 3 sides have different lengths.