Ans. (a)
SQ and RQ
Ans. (b)
∠RQT
∠TQR
Ans. (c)
Q
what is the volume of the triangular prism
Answer:
308 cm³Step-by-step explanation:
The volume is:
V = Bl = 1/2(ah)lV = 1/2(7*8)*11 = 308 cm³[tex]\\ \rm\Rrightarrow Volume=Area\:of\;base(Height)[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}Base\times Height \times Height\:of\;Prism[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}(8)(7)(11[/tex]
[tex]\\ \rm\Rrightarrow Volume=4(7)(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=28(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=308cm^3[/tex]
Sasha is twice as old as Kapila. If Kapila is x years old, find their total age.
Answer:
3x
Step-by-step explanation:
If Kapila's age =x.
Then Sasha's age would be =2x.
Their total age would be 3x.
Because 2x+x adds up to be 3x.
Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft
Answer:
three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°
Step-by-step explanation:
Answer:
three sides measuring 4 ft, 8 ft, and 14 ft
Step-by-step explanation:
The sum of the 3 angles of a triangle add to 180
three angles measuring 25° 65°, and 90° 25+65+90 =180
• three angles measuring 50°, 30°, and 100°50+30 +100 = 180
The sides of a triangle a<b<c (a+b) >c
• three sides measuring 5 in., 12 in., and 13 in.
(5+12)>13 true
• three sides measuring 4 ft, 8 ft, and 14 ft
(4+8) >14 false
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A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?
A. $65,280
B. $67,200
C. $68,000
D. 5,440
Answer:
Option A, $65,280Step-by-step explanation:The volume of the tank is,12×20×15+40×(50-15)×12= 3600+16800=20400 cubic metersFor each cubic meter, ... More
What is the value of |6x| - |- 2y| if x = - 3 and y= 5?
Answer:
8
Step-by-step explanation:
|6x| - |- 2y|
Let x = -3 and y = 5
|6*-3| - |- 2*5|
|-18| - |-10|
Taking the absolute values
18 - 10
8
What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only
Answer:
x=4
Step-by-step explanation:
f(x) = x^2 - 8x+16
Set equal to zero
0 = x^2 -8x +16
Factor
what 2 numbers multiply to 16 and add to -8
-4*-4 = 16
-4+-4 = -8
0= (x-4)(x-4)
Using the zero product property
x-4 = 0 x-4 =0
x=4 x=4
Find the equation of a line perpendicular to y = (75)x - 1 and has a y-
intercept of 1.
Answer:
6y = -5x + 6
y = -5/6 x + 1
Step-by-step explanation:
y = -5/6 x + b
1 = b
Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.
Answer:
Step-by-step explanation:
369 = x + (x+2) + (x+4)
369 = 3x + 6
363 = 3x
121 = x
now that we know that x = 121, we can solve the equation by plugging in the variable
369 = x + (x+2) + (x+4)
369 = 121 + 123 + 125
369 = 369
The smallest three integers are 121,123 and 125.
Let, the smallest odd integers be n
Then according to the given condition,
[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]
So, the numbers are,
[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]
Learn More:https://brainly.com/question/2254193
Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com
Answer:
x=0 x=8 x = -1/10
Step-by-step explanation:
- 2x(x − 8)(10x + 1) = 0
Using the zero product property
-2x =0 x-8 = 0 10x+1= 0
x= 0 x= 8 10x = -1
x=0 x=8 x = -1/10
If you get it right, you are a critical thinker. You were in the garden, there are 34 people in the yard. You kill 30. How many people are in the garden?
Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10
Answer:
[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].
Step-by-step explanation:
Multiply both sides by [tex](1/5)[/tex] and simplify:
[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].
[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].
Take the base-[tex]10[/tex] logarithm of both sides:
[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].
Y equals 1/3 X +5 through (two, one)
Answer:
No solution
Step-by-step explanation:
1 = 1/3(2) + 5
1 = 17/3
Therefore no solution as 1 is not equal to 17/3
Help anyone can help me do this question,I will mark brainlest.
Answer:
but what to do in do I have to find the area of the particular Region or a length of that
At age 20, to save for retirement, Rebecca decides to deposit 80$ at the end of each month in an IRA that pays 6.2% compounded monthly. Use the formula for the value of an annuity.
A=P[(1+r/n)^nt-1]/(r/n)
How much money will be in the IRA when Rebecca retires?
How much interest will the IRA have gained?
Answer:
159319.26 I Don't know the interest
SOMEONE HELP ME PLEASE
PLEASE HELP!!!!!!!!
Answer: 3
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex] [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]
If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers
Answer and explanation:
Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:
(n+3)²-(n)²= (n+3)(n+3)-(n)²
=n²+3n+3n+9-n²
=6n+9
Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.
find the missing side.
Answer:
33.4
Step-by-step explanation:
tan50 = x/28
x =28tan50 = 33.3691 = 33.4 (nearest tenth)
Solve 2x + 3y = C, for y
Answer:
y= [tex]\frac{c-2x}{3}[/tex]
Step-by-step explanation:
2x+3y=C
isolate y
3y=C-2x
y= [tex]\frac{c-2x}{3}[/tex]
Evaluate x^4 • x^-1 when x = 4
Answer:
64
Step-by-step explanation:
4^4*4^-1
4^4*1/4
256*1/4
256/4
64
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The median of the upper half of the data set is the _____________.
A. First quartile
B. Second quartile
C. Third quartile
D. Fourth quartile
Answer:
the answer is A
I think so
Find the product using suitable property: a.46*102 b.55*1004
Answer:
please
Step-by-step explanation:
follow me
please
please
please
What is an equation for this graph?
Answer:
sinx
Step-by-step explanation:
the shape of the graph shows a sine graph, which is usually denoted by asinbx+c
a is amplitude/2 = 2/2 = 1
b is the period, 360 = 360/b, b=1
since the graph starts at (0,0), c =0
hence, this graph is 1sin1x = sinx
The equation is y = sin(x)
This polygon is a Quadrilateral (4 sided figure). Based on the interior angle sum, find the value of x.
Answer:
Step-by-step explanation:
The total sum of interior angles of a quadilateral is 360°
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Seena’s mother is 7 times as old as Seena. After 4 years
her mother will be 4 times as old as she will be then .Find
their present ages.
Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.
Solution :✧ Let us assume :
Seena's age be x
Her mother's age be 4x
✧ After 5 years :
Seena's age = x + 5
Her mother's age = 4x + 5
✧ Ratio of age after 5 years :
Seena's mother = 3
Seena's ratio = 1
Hence, the equation is :
[tex] \looparrowright\frak{ \frac{4x + 5}{x + 5} = \frac{3}{1} }[/tex]
By cross multiplying we get
[tex] \looparrowright \frak{3(x + 5) = 4x + 5}[/tex]
[tex] \looparrowright \frak{3x + 15 = 4x + 5}[/tex]
[tex] \looparrowright \frak{x = 10}[/tex]
Hence, the ages are
Seena's age = x = 10 yrs
Her mother's age = 4x = 4 × 10 = 40 years
∴ Seena's age is 10 and her mother's is 40 respectively
Find the volume of the cylinder please
Answer:
216
Step-by-step explanation:
π=3
r=3
h=8
so,
πr²h
= 3×3²×8
= 216
Answered by GAUTHMATH
answer choices:
A. 32%
B. 46%
C. 24%
D. 11%
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three times greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?
This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
z is the number of quarters.
In all, they are worth $3.65.
A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
Dimes: 3 times greater than nickels:
This means that:
[tex]y = 3x[/tex]
Quarters: One greater than double the number of nickels:
This means that:
[tex]z = 2x + 1[/tex]
Value of x:
We have y and z as function of x, so we can replace into the equation and find the value of x, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
[tex]0.05x + 0.1(3x) + 0.25(2x+1) = 3.65[/tex]
[tex]0.05x + 0.3x + 0.5x + 0.25 = 3.65[/tex]
[tex]0.85x = 3.4[/tex]
[tex]x = \frac{3.4}{0.85}[/tex]
[tex]x = 4[/tex]
y and z:
[tex]y = 3x = 3(4) = 12[/tex]
[tex]z = 2x + 1 = 2(4) + 1 = 9[/tex]
There are 9 quarters, 4 nickels and 12 dimes.
A similar question is found at https://brainly.com/question/17096268
the item to the trashcan. Click the trashcan to clear all your answers,
Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.
hypotenuse
50
S
h
O
r
t
30
long
Short = 2
Long -
00
3
7
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NEXTLOUESTION
ASK FORHISP
TURNITIN
Answer:
long is rt3
short is 1
hypotenuse is 2
Step-by-step explanation:
in a 30, 60, 90 triangle, if the short side is 'x' then the long side is 'x rt3' and the hypotenuse is '2x'
A function() is graphed
What is the slope of the function?
m
What is the intercept of the function?
Which equation represents the graph of the function?