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
John deposited $2,100 into his bank account. The bank will pay 1.5% interest compounded annually on his account. He plans on leaving his money in there with no additional deposit for 5 years. Which formula would you use to determine how much money he has after 5 years?
If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs?
Answer:
8.94
Step-by-step explanation:
Given that
qs = 12cm
qr = 8cm
Required
rs
Using the pythagoras theorem
Let us assume qs is the hypotenuse side
qs² = qr² + rs²
12² = 8² + rs²
144 = 64 +rs²
rs² = 144 - 64
rs² = 80
rs = √80
rs = 8.94
Hence the value of rs is 8.94
Solve using the quadratic formula. Approximate answers to the nearest tenth.
Answer:
x=2
Step-by-step explanation:
X^2+5x-14=0
x^2-2x+7x-14=0
7x-14=0
x=2
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
First, draw the diagram.
We have the variable, l.
Then, we have:
tan angle=opposite/adjacent
So plug it in, it will be:
tan 60=l/50m
So then l=tan60*50m.
tan60=1.732
l=1.732*50m
and so out answer ends up being 86.6m.
Note: I don't know if this is the best way but...that's how I did it.
GRADE 8 MAIN
SESSION 2 /
Glenn bought a game system and 3 video games for $375. Jim bought a game system and 4 video
games at the same store for $410.
Each game system costs the same.
• Each video game costs the same.
What is the cost, in dollars, of one game system?
Enter your answer in the box.
$
Answer:
jason shdudbuasd
Step-by-step explanation:
I need a answer for this
Answer:
6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10^2
a^2 +64=100
a^2 = 100-64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
9. For the function defined by the equation y = 2x^2 -10, which of the following represents the
output when the input is -3?
(1) 6
(3) -10
(2) 8
(4) -28
Answer:
8
Step-by-step explanation:
y = 2x^2 -10
Let x = -3
y = 2( -3)^2 -10
y = 2 (9) -10
y = 18-10
y = 8
maddyross91 ! i’ll give brainliest please help
Answer:
Symbol
Step-by-step explanation:
the object symbolizes something else
Answer:
C. Symbol
Step-by-step explanation:
Symbol-a mark or character used as a conventional representation of an object, function, or process, e.g. the letter or letters standing for a chemical element or a character in musical notation.
subtract -2/15 from -3/5 and add the result to 5/6
Answer:
6/5
Step-by-step explanation:
-3/5-(-2/15)+5/6
-3/5+2/15+5/6
=-3+2×5/15 + 5/6. (taking lcm)
=-3+6/15+5/6
=3/15+5/6
=3+5×3/15 (taking lcm)
=18/15
=6/5
Answer:
Step-by-step explanation:
-3/5-(-2/15)+5/6
=-3/3+2/15(take lcm of 3 and 15)+5/6
=-3*3+2*1/15+5/6
=-9+2/15+5/6
=-7/15+5/6(take lcm of 15 and 6)
=-7*2+5*5/30
=-14+25/30
=11/30
=11/30
these triangles are congruent by which triangle congruence postulate ?
Perimetrul unui teren de sport este de 224m. Alfa lungimea si latimea terenului, daca latimea este cu 8m mai mare decat 1/3 din lungime
Answer:
I. L = 78 metros
II. W = 34 metros.
Step-by-step explanation:
Deje que la longitud del rectángulo sea L. Deje que el ancho del rectángulo sea W.Sabemos que un campo deportivo tiene forma rectangular.
Dados los siguientes datos;
Perímetro del rectángulo = 224 m
Traduciendo el problema verbal a una expresión algebraica, tenemos;
W = ⅓L + 8 = L/3 + 8
Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;
P = 2 (largo + ancho)
Sustituyendo en la ecuación, tenemos;
224 = 2(L + [L/3 + 8])
224 = 2L + 2L/3 + 16
Reordenando la ecuación (recolectando términos semejantes), tenemos;
224 - 16 = 2L + 2L/3
224 - 16 = 8L/3
208 = 8L/3
Multiplicación cruzada, tenemos;
8L = 208 * 3
8L = 624
L = 624/8
L = 78 metros
Para encontrar el ancho;
W = L/3 + 8
W = 78/3 + 8
W = 26 + 8
W = 34 metros.
5x/6-x/3+1 =8/9
Find the LCD that would eliminate the fractions
Answer:
answer is in the picture
THIS IS URGENT PLEASE GAW DAMMIT ;-;
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Answer:
i believe the answer would be -1 and 6
Answer:
Coordinates are (5,0) & (7,0)
Just refer to the point where the graph intersects the x-axis I think.
y = 2x + 1 y = 3x - 1
Answer:
i think the answer is B
Step-by-step explanation:
5=6-1
5=5
just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :
2x + 1 = 3x - 1
Add both sides 1
2x + 1 + 1 = 3x - 1 + 1
2x + 2 = 3x
Subtract both sides 2x
2x - 2x + 2 = 3x - 2x
x = 2
( This is the x-coordinate of intersection point )
_________________________________
Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :
y = 2x + 1
y = 2(2) + 1
y = 4 + 1
y = 5
_________________________________
Thus :
intersection point = ( 2 , 5 )
So the correct answer is option B .
On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Let the cost price of article be x :
x + x × ( 15/100 ) = 2300
x + x × ( 5 × 3 / 5 × 20 ) = 2300
x + x × ( 3 / 20 ) = 2300
x + ( 3 × x / 20 ) = 2300
x + ( 3x / 20 ) = 2300
( 20x / 20 ) + ( 3x / 20 ) = 2300
20x + 3x / 20 = 2300
23x / 20 = 2300
Multiply both sides by 20
( 23x / 20 ) × 20 = 2300 × 20
23x = 2300 × 20
23x = 23 × 2000
Divide both sides 23
23x ÷ 23 = ( 23 × 2000 ) ÷ 23
x = Rs 2000
Write a unit rate for the situation. 1080 miles on 15 gallons
Miles per gallon
Answer:
72 miles / gallon
Step-by-step explanation:
1080/15 = x/1
1080 / 15 = 72
72 miles on 1 gallon
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Pizza hut charges $7.00 for a cheese pizza. Each additional topping costs $0.50. Write an equation in slope-intercept form to determine the total cost, y, of a pizza with,x, amount of toppings.
What is the slope and y-intercept in context of the situation?
Answer: [tex]y=0.5x+7[/tex]
Step-by-step explanation:
Given
Pizza hut charges $7 for a cheese pizza
Each additional topping costs $0.50
Considering y as the cost of pizza and x be the amount of topping added
Cost of a pizza with toppings
[tex]\Rightarrow y=0.5x+7[/tex]
Here, the slope of the equation is [tex]0.5[/tex]
Y-intercept is equivalent to price of base pizza i.e. [tex]7[/tex]
please answer!!
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and yintercept at (0, -1)?
A. y= 4x+1
B. y= 1x-1
C. y=-x-1
D. y= 4x-1
Hi there!
[tex]\large\boxed{\text{ B. } y = 1x - 1}[/tex]
Recall that the equation of a line is:
y = mx + b, where:
m = slope
b = y-value of the y-intercept.
We are given that the slope is 1 and the y-intercept is -1, so:
m = 1
b = -1
The correct equation is B. y = 1x - 1
If y =-3, than 4+y/4y=
Answer:
6.25
Step-by-step explanation:
4+3 ÷ 4×3 = 6.25
or
25/4
or
6 1/4
YOULL GET BRAINLEST JUST ANSWER THIS CORRECTLY!!!
Answer:
area of circle=π[tex]r^{2}[/tex]
452.1=3.14[tex]r^{2}[/tex]
452.1/3.14=[tex]r^{2}[/tex]
143.98=[tex]r^{2}[/tex]
[tex]\sqrt{143.98}[/tex]=r
11.99=r
now ,
diameter=2r
=2*11.99
=23.98
Step-by-step explanation:
mary walked 2.1 hours along part of the trans canada trail at a speed of 3.6 km. what distance did mary travel
Answer:
7.66 km
Step-by-step explanation:
2.1x3.6=
2.1x6=1.26
2.1x3=6.40
1.26+6.40=7.66
show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)
Answer:
y = 2x + 5
Step-by-step explanation:
(-5 , -5) & (-1 , 3)
Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]
m = 2 & (-5 , -5)
Y -y1 = m(x -x1)
y - [-5] = 2(x - [-5] )
y + 5 = 2 (x + 5)
y+ 5 = 2x + 2*5
y = 2x + 10 - 5
y = 2x + 5
In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?
Answer:
8 °C
Step-by-step explanation:
Step 1: Given data
Initial temperature value (T1): -10 °C
Final temperature value (T2): -2 °C
Step 2: Calculate the change in temperature from the morning to the afternoon
To calculate the change in the temperature, we have to perform the subtraction T2 - T1.
ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C
The temperature change is positive, meaning that the temperature increased.
A drawer contains 4 red socks, 6 white socks, and 10 blue socks. Without looking, you
draw out a sock and then draw out a second sock without returning the first sock.
What is the probability that the first sock and the second sock are both white.
Answer:
[tex]\frac{3}{38}[/tex]
Step-by-step explanation:
[tex]\frac{6}{20}\cdot \frac{5}{19}=\frac{30}{380}=\boxed{\frac{3}{38}}[/tex]
Answer:
3/38
Step-by-step explanation:
So, you add the total numbers of socks and the total is 20. Since there is 6 white socks the first time you pick, your first fraction is 6/20 (3/10). So since you didn't put the first sock back, now the probability of picking another white sock is 5/19. So now multiply your fractions, and your answer should be 15/190 (Simplifyed 3/38)
When she was born, Tabitha’s rich aunt put $10,000 in a bank account in Tabitha’s name to be saved for her college education. The account earns 6% annual interest.
Martin's family opened an account when he was born. They started by putting $15,000
in this account and then his family added $50 a month, which is $600 per year to his
account. The account did not earn interest over time.
a. Make a table showing the value of each account of each year for 5 years. Round
your answers to the nearest dollar. Explain what calculations you used to find
the missing entries.
Answer:
Step-by-step explanation:
I NEED THIS ANSWER After simplifying, which expressions are equivalent? Select three options.
(3.4a – 1.7b) + (2.5a – 3.9b)
(2.5a + 1.6b) + (3.4a + 4b)
(–3.9b + a) + (–1.7b + 4.9a)
–0.4b + (6b – 5.9a)
5.9a – 5.6b
Answer:
1, 3, 5 are correct
Step-by-step explanation:
1. (3.4a – 1.7b) + (2.5a – 3.9b) = 5.9a - 5.6b
2. (2.5a + 1.6b) + (3.4a + 4b) = 5.9a + 5.6b
3. (–3.9b + a) + (–1.7b + 4.9a) = 5.9a - 5.6b
4. –0.4b + (6b – 5.9a) = 5.9b - 5.6a
5. 5.9a – 5.6b = 5.9a – 5.6b
I need a answer for this
Answer:
148 i think i’m not sure
Step-by-step explanation:
Answer:
Hello! answer: b = 24
Step-by-step explanation:
25 × 25 = 625 7 × 7 = 49 625 - 49 = 576 24 × 24 = 576 therefore b = 24 hope that helps!
I NEED HELP PLEASE IT WOULD REALLY MEAN AOT !!!!
NO ZOOMS OR LINKS!!!!
Answer:
20.78
Step-by-step explanation:
sin a = perpendicular/ hypotenuse
where a is the base angle
here a = 60
sin 60 = 18/ x
since,
[tex] \sin(60) = \ \frac{ \sqrt{3} }{2}[/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{18}{x} [/tex]
√3 x = 36
x = 36/ √3
x = 36/ 1.732
x = 20.78
I dont quite understand this question, percentages are difficult for me.
Answer:
60%
Step-by-step explanation:
There are 50 girls and 30 of them prefer Snap.
30/50*100 = 60% of the girls.
How many triangles can be drawn with one 90o angle, a 70° angle, and an included side measuring 3 inches? Explain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
2
Step-by-step explanation:
This is because any of the sides can be the one measuring 3 inches. Since it is a triangle, the sum of angles is 180. Let the third angle be x.
So, x + 90° + 70° = 180°
x + 160° = 180°
x = 180° - 160°
x = 20°
So, the third angle is 20°.
If the included side is a side other than the hypotenuse side, we can find it by applying the sine rule.
The included side can be either side other than the hypotenuse.
Also, either of the third angle in each triangle can be 20°
So, we have two sides and two triangles.
If the included side is the hypotenuse side, we use Pythagoras' theorem to find the length of the other two sides (and they must be equal)since the angle between the two sides is a right-angle, that is, 90°.
Since the other two angles are not equal, we cannot have a triangle with two equal sides and an hypotenuse. That is, we cannot have an isosceles triangle. So, no third triangle.
So, the total number of triangles that can be drawn with one 90° angle, a 70° angle and an included side measuring 3 inches is 2.