what is the volume of the triangular prism
A) 12 cm
B) 18
C) 24
D) 48
-
Solve the system of equations – 2z – 2y = -24 and 3z – 2y = -33 by
combining the equations.
-
( 2z -2y =-24)
– 32 -2y =-33)
-
-
-22 -2y = -24
-32 -2y -33
0 - 0 Y=
You must answer all questions above in order to submit.
P
Answer:
z = -1.8, y = 10.2
Step-by-step explanation:
- 2z -2y = -24 (EQ 1)
3z - 2y = -33 (EQ 2)
Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)
Let's target the equation that can leave us with the simplest question to solve
-2z + -2y = -24
-3z + 2y = 33
-5z = 9
(Dividing and switching the negative sign over)
z = -1.8
Plug in Z to solve for y.
-2(-1.8) - 2y = -24
3.6 - 2y = -24
-2y = -20.4
y = 10.4
Which point is located at - 1/6
Answer:
Point C
Step-by-step explanation:
it is negative, so we can already eliminate points A and B so which leaves us with C and D. It is a fraction that is greater than -1 so that eliminates point D, so the remaining point is our final answer.
Answer:
Point C
Step-by-step explanation:
Step 1: What point is located at -1/6
We can see that the arrow pointing up showcases us going positive and the arrow pointing down showcases us going negative. 0 gives us the middle point between negatives and positives. We can see that there are 6 ticks between each whole number. Therefore, if we go 1/6 of a tick down in the negative direction we would get point C.
Answer: Point C
What is the area of the trapezoid?
WILL MARK BRAINLYEST
Answer:
126 in^2
Step-by-step explanation:
A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]
please help me find the answe asap
Answer:
B
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
this year's mean = [tex]\frac{7+3.3+2}{3}[/tex] = [tex]\frac{12.3}{3}[/tex] = 4.1
last year's mean = [tex]\frac{5.3+1.6+2.4}{3}[/tex] = [tex]\frac{9.3}{3}[/tex] = 3.1
difference = 4.1 - 3.1 = 1
A rectangular painting has a length of 24 inches and a width of 7 inches. What is the length of the diagonal of the painting in inches? Enter your answer in the box.
Answer: 25 inches
Step-by-step explanation:
24² + 7² = 625
Square root of 625 = 25
If x-3=6, what is the value of x?
Group of answer choices
x=2
x=3
x=6
x=9
Answer:
x=9
Step-by-step explanation:
9-6=3
PLease help me w this q.8
Answer:
B
Step-by-step explanation:
Angle 1 and angle 3 are alternate interior angles.
expand the following expression. 13/4 (2x + 3/4)
Hey there!
13/4(2x + 3/4)
= 13/4(2x) + 13/4(2x)
= 13/2x + 39/16
≈ 6 1/2x + 2 7/16
Therefore, your answer is:
13/2x + 39/16
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A hurricane wiped out 40% of the wild rats in a coastal city. Then, a disease spread through stagnant water killing 20% of the rats that survived the hurricane. What percentage of the original population of rats is left after these 2 events
After the hurricane and the disease, 48% of the original population of rats is left.
We have,
After the hurricane, 40% of the rats were wiped out, which means
100% - 40% = 60% of the rats survived.
Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.
This means 100% - 20% = 80% of the rats that survived the hurricane are still left.
To find the percentage of the original population of rats that is left after both events, we multiply the percentages:
Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48
Finally, we convert the decimal value back to a percentage:
Percentage left = 0.48 * 100% = 48%
Therefore,
After the hurricane and the disease, 48% of the original population of rats is left.
Learn more about percentages here:
https://brainly.com/question/11403063
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Solve. 5y + 42 − y = 34
Answer:
The answer is y= -2
Step-by-step explanation:
(Arrange according to the like terms first)
5y-y+42= 34
4y+ 42-34= 0
4y+ 8= 0
4y= -8
∴ y= -8/4=-2
So, y= -2
Hope it will help.
Answer:
y = -2
Step-by-step explanation:
question : 5y + 42 − y = 34
⇒ 5y + 42 − y = 34
•shifting the +42 to the right side :
⇒ 5y - y = 34 - 42
⇒ 4y = -8
•shifting the 4 to the right side :
⇒ y = -8/4
⇒ y = -2 Answer...
hope that helps...
I answered 2. Am I right?
Answer:
Yes, I agree, the score of 2 was an outlier, outside of what is close to everyone else's score
Step-by-step explanation:
Find the value of x to the nearest tenth.
Answer:
x ≈ 16.2
Step-by-step explanation:
tan56° = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )
x × tan56° = 24 ( divide both sides by tan56° )
x = [tex]\frac{24}{tan56}[/tex] ≈ 16.2 ( to the nearest tenth )
Graph =−2+5 y = − 2 x + 5 and =−12−3 y = − 1 2 x − 3 . Are the lines parallel, perpendicular, or neither?
Answer:
They are neither,they intersect but not at a 90 degree angleStep-by-step
explanation: hope this helps :)
What is the volume of a sphere with a radius of 9.1 ft, rounded to the nearest tenth of a cubic foot?
The volume of the sphere with a radius of 9.1ft is 3256.55cubic feet.
We have given that, the radius of the sphere is 9.1ft.
We have to determine the volume of the sphere
What is the formula for the volume of the sphere?The volume of the sphere is given by
[tex]V=\frac{4}{3}\pi r^3[/tex]
r is the radius of the sphere
V- is the volume of the sphere
So use the given value in the formula so that,
[tex]V=\frac{4}{3}\pi (9.1)^3[/tex]
[tex]V=3156.55082 ft^3[/tex]
Therefore the volume of the sphere with a radius of 9.1ft is 3256.55cubic feet.
To learn more about the volume visit:
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Answer:3156.6
Step-by-step explanation:
What is an equation of the line that passes through the points (−3,−4) and (-4, -6)
Answer:
[tex]\Large\boxed{\sf{y=2x+2}}[/tex]Step-by-step explanation:
Use the slope formula.
SLOPE FORMULA:
[tex]\Rightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]:\Longrightarrow \sf{\dfrac{-6-\left(-4\right)}{-4-\left(-3\right)}}[/tex]
Solve.
[tex]\sf{\dfrac{-6-\left(-4\right)}{-4-\left(-3\right)}=\dfrac{-6+4}{-4+3}=\dfrac{-2}{-1}=2}[/tex]
The slope is 2.
Use the slope-intercept form.
SLOPE-INTERCEPT FORM:
[tex]\sf{y=mx+b}[/tex]
X=slopeB=y-intercept.The y-intercept is 2.y=2x+2
Therefore, the final answer is y=2x+2.I hope this helps, let me know if you have any questions.
[tex]\text{Given that,}\\\\(x_1,y_1) =(-3,-4)~~ \text{and}~~ (x_2,y_2) = (-4,-6)\\\\\text{Slope,}~m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-6+4}{-4+3} = \dfrac{-2}{-1} =2\\ \\\text{Equation of line,}\\\\~~~~~y-y_1 = m(x-x_1)\\\\\implies y+4=2(x+3)\\\\\implies y =2x+6-4\\ \\\implies y= 2x+2[/tex]
write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
28:7
Answer:
[tex] \frac{4}{1} [/tex]
Step-by-step explanation:
[tex]writing \: as \: a \: fraction \: the \\ numerator = 28 \\ denominator = 7 \\ as \: a \: fraction \: it \: is \: \: \frac{28}{7} \\ dividing \: numerator \: and \: denominator \: by \: four \\ = \frac{4}{1} \\ hope \: this \: helps \\ please \: rate \: and \: mark \: brainliest[/tex]
Find the solution of the system of equations.
x-y=-3
-8x+y=45
Answer:
x = 17, y = 28
Step-by-step explanation:
1. Isolate for x in "x - y = -3, -8":
x - y+y = -3, -8+y
x = -11 + y
2. Substitute "x = -11 + y" in for x in the second expression:
-11 + y + y = 45
3. Simplify:
-11 + 2y = 45
4. Isolate y:
-11+11 +2y = 45+11
2y = 56
[tex]\frac{2y}{2} = \frac{56}{2}[/tex]
y = 28
5. Substitute the new y-value into the first equation:
x = -11 + 28
x = 17
hope this helps!
If one end of a line segment is (4, 4) and midpoint is (-2,2), find the co-ordinates of the other end.
Answer:
-8,0
Step-by-step explanation:
From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.
For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.
Please help!!!!!
Two chords intersect within a circle to form an angle whose measure is 53 degrees. If the intercepted arcs are represented by 3x + 3 and 10x -14, find the measure of the LARGER of these two arcs.
A. 106
B. 76
C. 9
D. 30
Answer:
76degrees
Step-by-step explanation:
Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;
Angle at the vertex = 53 degrees
Half the sum of intercepted arcs = 1/2(3x+3+10x-14)
Half the sum of intercepted arcs = 1/2(13x-11)
Equating to the vertex to find x
1/2(13x-11) = 53
13x - 11 = 2 * 53
13x - 11 = 106
13x = 106 + 11
13x = 117
x = 117/13
x = 9
For the arc 3x + 3
= 3(9) + 3
= 27 + 3
= 30degrees
For the arc 10x - 14
= 10(9) - 14
= 90 - 14
= 76degrees
Hence the measure of the larger of the two arcs is 76degrees
equivalent expression to −5.55−8.55c+4.35c
Simplify the following expression
(x^0 y^2/3 z^-2)^3/2 divided by (x^2z^1/2)^-6
[tex]\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\[/tex]
[tex]=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}[/tex]
PLS HELP ITS ONLY ONE QUESTION
Directions: use your knowledge of the Cartesian Coordinate System to answer the following questions.
How are the four sections marked?
Answer:
Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV
Hope it helps.
A fair die is rolled 5 times. What is the probability of having no 1 and no 4 among the rolls? Round your answer to three decimal places.
Answer:
0.132
Step-by-step explanation:
Rolling a die is an independent event.
Chance of not rolling a 1 or 4 is 4/6 or 2/3
[tex]\frac{2}{3} ^5 = \frac{32}{243} = 0.13168[/tex]
What is the lateral area of the cone
On the opening day, a restaurant offers free drinks and desserts to all the customers. A customer can choose from apple juice, orange juice, grape juice, and cranberry juice. He can choose from ice cream, cake, and pudding as desserts. How many different juice-dessert combinations are possible?
15
24
12
7
Answer: 12
Step-by-step explanation:
Juice 4 multiplied by Dessert 3
Jose's mom gave him
$
40
for cutting their grass. He used the money to buy a
$
10. 75
game and two snacks that cost
$
3. 25
each. Joe also bought a bouquet of flowers for his mom. If Joe went home with
1
4
of the money his mom gave him, how much did the flowers cost?
Please help me, I feel so idiotic right now
Answer:
a) $8.80
b) 40%
Step-by-step explanation:
Part (a)
Given:
Original price = $22Discounted price = $13.20Original price - discounted price
= $22 - $13.20
= $8.80
Part (b)
percentage = (amount discounted ÷ original price) x 100
= (8.80 ÷ 22) x 100
= 40%
Given the graph of the function f(x), find each of the following.
† y
a. f(-4) 2
b.
f(0) O
C.
f (2) -1
d. f (5) -1
Answer:
a) 2 ; b) 0; c) -2 ; d) -1
Step-by-step explanation:
a) f(-4)=2 ;
b) f(0)=0;
c) f(2)= -2 ;
d) f(5)= -1
How can i find the circumference of a circle if I already know it's area?
Answer:
With the area you can find the radius and then substitute the radius in the circumference formula