Answer:
[see below]
Step-by-step explanation:
Volume of a triangular prism is: [tex]V=\frac{1}{2}bhl[/tex]
We are given the base of 5, the length of 12, and the height of 8. All measurements are in meters.
[tex]V=\frac{1}{2}(5*12*8)\\\\V=\frac{1}{2}(480)\\\\V=240[/tex]
The volume of the prism should be 240 square meters.
Answer:
V = 240 m^3
Step-by-step explanation:
The volume of a triangular prism is
V = Bh where B is the area of the base and h is the height
B = the area of the triangular base
B = 1/2 bh
B = 1/2 *5*12
B = 30 m^2
The volume is
V = 30 * 8
V = 240 m^3
Please PLEASE HELP THIS IS ALGEBRA 2
Answer:
I hope this helps you
Step-by-step explanation:
this is how you work out algebra
y+ k-h+x+a
A Pythagorean triple is said to be "primitive" if the greatest common divisor of a, b, and c is 1. Use trial and error to find a primitive Pythagorean triple other than (3, 4, 5).
Answer:
(5, 12, 13)
Step-by-step explanation:
Hello, please consider the following.
[tex](\forall (x,y) \in \mathbb{R}^2) \ \ (x^2-y^2)^2+(2xy)^2=(x^2+y^2)^2\\\\\text{You can develop both expressions to see that this is equal.}\\\\\text{After }(3,4,5)\text{ we can try the triple starting with }5\\\\\text{So, let's search x and y such that } 5=x^2-y^2=9-4=3^2-2^2\\\\\text{And, then, it comes}\\\\(3^2-2^2)^2+(2*3*2)^2=(3^2+2^2)^2\\\\<=> 5^2+12^2=13^2\\ \\\text{So, }(5,12,13)\text{ is a Pythagorean triple}[/tex]
Is it a primitive one?
5 = 1 * 5
12 = 1 * 2 * 2 * 3
13 = 1 * 13
So this is a primitive one.
Thanks
Answer:
5, 12, 13
Step-by-step explanation:
is 169 a whole number,Interger,Rational, Irrational,or Real?
Answer:
A whole number, an integer, a rational number and a real number.
Step-by-step explanation:
It is a whole number, which makes it an integer, which makes it rational, which makes it real.
PLEASE HELP....Alex bought new jeans. She paid $43.20 at the cash register, which included 8% sales tax. What's the cost of the jeans before tax?
Answer:
39.75
Step-by-step explanation:
take the total cost multiply it by 1.08 then subtract that from the final cost hope it helps
Answer:
$39.75
Step-by-step explanation:
Step 1: multiply 43.20x.08=3.45
Step 2: subtract 43.20-3.45=39.75
All done!
Evaluate the expression 2(2-y)-x When y = 8 and x = -3, what is the value of the expression?
Answer:
-9
Step-by-step explanation:
y = 8
x = -3
2(2-y)-x = ⇒ replace x and y with their values2(2 - 8) - (-3) = ⇒ solve parenthesis2(-6) + 3 = ⇒ multiply-12 + 3= ⇒ add- 9 ⇒ answerAnswer:
Your answer will be (-9)
This is how I got my answer-
2(2-y)-x
2(2-8)-(-3)
2 - 8= (-6)
2 × (-6) = (-12)
(-12) - (-3) = (-9)
Use the percent proportion to solve for X. 16 is 32% of x. Find the value of 1.
Answer:
I dont get the question, is there suposed to be a chart?
Step-by-step explanation:
please help me on this question
Answer:
100 ml of concentrate and 350 ml of water
Step-by-step explanation:
2 + 7 = 9 total parts
450/9 = 50
2(50) = 100 ml concentrate
7(50) or 450 - 100 = 350 ml water
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
EXERCISE 2.1
(a)
1.
An agent sells some articles for Rs 5,500. What commission does he get at 5%?
Answer:
250
Step-by-step explanation:
5000×5/100 =250
why because you times it for commission because it what you gain
(a) If tan A=x/y
prove that: y.cos2A +x.sin2A= y.
Please help me..
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle Identities: cos 2A = 1 - 2sin²A
sin 2A = 2sinA · cosA
[tex]\text{Given:}\quad \tan A = \dfrac{x}{y}[/tex]
Proof LHS = RHS
y cos 2A + x sin 2A = y
x sin 2A = y - y cos 2A
x sin 2A = y(1 - cos 2A)
[tex]\dfrac{x}{y}=\dfrac{1-\cos2A}{sin\ 2A}[/tex]
[tex]\dfrac{x}{y}=\dfrac{1-(1-2sin^2A)}{2\sin A\cdot \cos A}[/tex]
[tex]\dfrac{x}{y}=\dfrac{2sin^2A}{2\sin A\cdot \cos A}[/tex]
[tex]\dfrac{x}{y}=\dfrac{\sin A}{\cos A}[/tex]
[tex]\dfrac{x}{y}=\tan A}[/tex]
This is a TRUE statement since it was given that [tex]\tan A = \dfrac{x}{y}[/tex]
Does anyone know this
Answer:
Domain: (-11, 4)
Step-by-step explanation:
Domain is the set of all x-values that can be inputted into a function.
So we look at x-values that can be inserted into the graph.
We notice that we cannot input x = -11 or x = 4 as it is open-pointed but everything inbetween works, so we have (-11, 4) as our domain.
The correlation coefficient between class attendance and number of problems missed on an exam is –0.77. Which statement regarding this finding is correct?
Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.
Step-by-step explanation:
Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.
When correlation coefficient is negative it means negatively correlation.
i.e. If independent variable increases dependent variable decreases or vice-versa
Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.
VariablesIndependent: class attendance
Dependent: problems missed on an exam
So by correlation coefficient , correct interpretation would be:
Student with high class attendance is less likely to miss problem on an exam.
i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.
Given f(x)=2x-7 solve for f(x)0
Answer:
if f(x)=0,
then 2x-7=0
so,x=7/2
Answer:
f−1(x)=12(y−7). Explanation: Given: f(x)=2x+7. Let y=f(x). y=2x+7. Expressing x in terms of y gives us the inverse of x. y−7=2x. 2x=y−7. x=12(y−7)
Which expression is equivalent to –2(5x – 0.75)?
10x – 0.75
10x + 0.75
–10x – 1.5
–10x + 1.5
Answer:
-10x+1.5
Step-by-step explanation:
-2(5x-0.75).... distributive property
-10x+1.5
Note:
-&-=+
+&+=+
+&-=-
-&+=-
Hope this helps ;) ❤❤❤
Answer:
d
Step-by-step explanation:
in a triangle PQR,if angle P is equal to 60 and angle Q is equal to 40 degree what the value of exterior angle formed by producing QR
==================================================
Explanation:
See the diagram below.
We start with triangle PQR with the given angles mentioned. Then you extend out segment QR to form line QR. It goes off infinitely in both directions.
The exterior angle x adds to the interior angle Q = 40 to get 180
x+40 = 180
x+40-40 = 180-40 ... subtract 40 from both sides
x = 140
The exterior angle is 140 degrees
In a college 65 students are studying Mathematics 50 students are studying science and 35 students are studying both subject. If none of the students study other subjects then how many students are studying in the college how many students are mathematical only how many student are science only
Answer:
Step-by-step explanation:
studying Math 65
Studying science 50
studying both 35
student are studying in the college are:(65+50)-35=80 students
student studying math only= 65-35=30
student studying science only = 50-25=15
The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 12°F. What was the lowest
temperature overnight in that city?
A. -14°F
OB
14°F
О С.
10°F
D. -10°F
Answer:
-14 F
Step-by-step explanation:
Determine what type(s) of angles are described by the following angle measures. Two angles measuring pi/8 and 7pi/8 radians.
Answer:
Hey there!
These would also be acute angles.
Let me know if this helps :)
Natalia bought 8 glitter wands for $50. Determine whether or not each wand purchase below has the same price per wand as glitter wands.
Answer:
Sparkle wands: NO
Fairy wands: YES
Glass wands: NO
Step-by-step explanation:
To find the price per glitter wand, you have to divide the price of the wands by the amount of wands you have.
$50/8 = $6.25
Divide the price of the wands by the amount you get.
Sparkle wands: $20/4 = $5
Fairy wands: $37.50/6 = $6.25
Glass wands: $65/10 = $6.50
The sparkle wands and the glass wands do not have the same price per wand as glitter wands.
The fairy wands have the same price per wand as glitter wands.
Answer:
Glow wands = no
Fairy Wands= yes
Sparkle Wands = No
Step-by-step explanation:
Khanacademy
Trust
A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.
Answer:
One of the sides is 6 cm and the other is 8 cm
Step-by-step explanation:
Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:
a + b + hypotenuse = 24
a + b + 10 = 24
a + b = 14
b = 14 - a
So now we can right the Pythagorean theorem as follows:
[tex]a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0[/tex]
and from this expression in factor form to be zero a must be 6 or a must be 8.
Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)
or a = 8 (and therefore b = 14 - 8 = 6)
Perimeter of triangle = Sum of all sides.
One side of triangle = 10 cm
Measure of other two sides will be → 24-10
Other two sides sum will be = 14 cm
Let's assume one side as x and other as 14-x
Now hypotenuse is of 10 cm
According to Pythagorean theoram
Hypotenuse² = Perpendicular ² + base²
→ 10² = (x)² + (14-x)²
→ 100 = x² + (14-x)²
(a-b)² = a²+b² -2ab
→ 100 = x² + 196 + x² -28 x
→ 100 = 2x² + 196 - 28x
Taking 2 commen both sides
→ 50 = x² -14x + 98
→ 0 = x² -14x +98-50
→ x² -14 x +48 = 0
Factorising :-
→ x² - 6x - 8x + 48 = 0
→ x( x -6) -8(x -6) = 0
→ (x-6)(x-8) = 0
→ x = 6 or x = 8
So x is 6 or 8
Other two sides of triangle are 6 cm and 8 cm
convert 6.2 gallons to liters pleaseee explain
Answer:
23.4696 liters
Step-by-step explanation:
Please help me with this immediately!!!
Answer:
900
Step-by-step explanation:
45x20=900
maybe be the answer i really don't know, i'm sorry.
-1/2 ÷ 2(9+3)-4 - 3/4 (8)
,
Answer:
[tex]-\frac{1}{28}[/tex]
Step-by-step explanation:
-1/2 ÷ 2(9+3)-4 - 3/4(8)
-0.5 ÷ 2(12)-4 - 3/4(8)
-0.5 ÷ 2(12)-4 - 6
-0.5 ÷ 24-4 - 6
-0.5 ÷ 14 = [tex]-\frac{1}{28}[/tex]
(ab² + 13b - 4a) + (3ab² + a +7b)
Answer:
4ab² + 20b - 3a
Step-by-step explanation:
This question most likely asks us to simplify the expression, as factoring is not possible...
(ab² + 13b - 4a) + (3ab² + a + 7b),
ab² + 13b - 4a + 3ab² + a + 7b,
ab² + 3ab² + 13b + 7b - 4a + a,
Solution : 4ab² + 20b - 3a
Solve the equation by dividing. 125 = 5f
Answer:
Answer = 25
Step-by-step explanation:
125 = 5f
125/5 = f
25 = f
Factorise the following expression using grouping and use binomial products to simplify.
11x - 55 - 5a + ax
Answer:
11x-55-5a+ax
11(x-5)+a(x-5)
(11+a)(x-5)
Step-by-step explanation:
First you factor out the common factors
for(11x-55) is would be 11 as both of these figures are the multiple of 11
for(ax-5a) the common factor is a which will be factor out
Then after doing the process you will get
11(x-5)+a(x-5)
then factor out(x-5)which will give you
(11+a)(x-5)
Answer:
Answer is below. I have grouped it.
Step-by-step explanation:
=(11x-55) + (-5a+ax)
=11 ( x - 5) +a ( -5+x)
= 11(x-5)+a(x-5)
(11+a)(x-5)
(x-5)(11+a)
What is the positive root of the equation x2 + 5x = 150?
ao
Answer:
10.
Step-by-step explanation:
x^2 + 5x = 150
x^2 + 5x - 150 = 0
This equation will factor:
(x - 10)(x + 15) = 0
x - 10 = 0 or x + 15 = 0, so:
x = 10 or -15.
================================================
Work Shown:
First get everything to one side
[tex]x^2 + 5x = 150\\\\x^2 + 5x - 150 = 0\\\\[/tex]
Now use the quadratic formula
Plug in a = 1, b = 5, c = -150.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(5)\pm\sqrt{(5)^2-4(1)(-150)}}{2(1)}\\\\x = \frac{-5\pm\sqrt{625}}{2}\\\\x = \frac{-5\pm25}{2}\\\\x = \frac{-5+25}{2} \ \text{ or } \ x = \frac{-5-25}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 10 \ \text{ or } \ x = -15\\\\[/tex]
Factoring, completing the square, or graphing are alternative methods to get these two answers. We see that the positive root is x = 10.
Evaluate 12n, if n=9
Answer:
108
Step-by-step explanation:
if n = 9
Then 12 times n equals 108
GEOMETRY!! SOMEBODY PLEASE HELP ME ON THIS ITS URGENT! I NEED TO COMPLETE THE DILATIONS
im not going to give u the answer but all you do is
step by step :
#1. D2- (-6*2),(0*2)=(-12,0)
(3*2), (-9*2)= (6,-18)
(12*2),(4*2)=( 24,8)
Mary has planned to save 25% of her weekly earning in savings account. She uses double number line as shown below to determine how much money she will save if she is earns $700 per week.
Answer:
$175 per weekStep-by-step explanation:
In this problem we are expected to calculate the amount Mary will save per week based on her 25% plan on her weekly earning of $700
hence we have to calculate 25% of $700 and that will be the answer to the problem
we have
weekly savings = (25/100)*700
weekly savings = 0.25*700
weekly savings= $175
Hence Mary will save $175 per week if she follows the 25% plan of her weekly earnings
a.
Write this expression 5x5x5x5 using
exponent.
Answer:
5^4
Step-by-step explanation:
i cant really explain except a power means you time that number that many times so so 5 to the 4th power
Answer:
[tex]5^4\\[/tex]
Step-by-step explanation:
Recall that exponents are a convention used to simplify the writing of expressions that involve the multiplication of a repeated factor by using as the base of the exponent the factor that is multiplied, and for the exponent the number of times the actor appears:
[tex]a\,*\,a\,*\,a\,*\,a=a^4[/tex]
so in your case, the base (repeated factor) is 5, and the exponent (number of appearances of the factor 5 is 4:
[tex]5*5*5*5=5^4[/tex]