Answer:
A. 3 x 1016
I hope its help for you
d)
The size is 22.6 degrees, but how did they get it?
Answer:
Step-by-step explanation:
a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°
By applying Pythagoras theorem in ΔBCD,
BD² = BC² + CD²
BD² = (10)² + (24)²
BD = √676
BD = 26 cm
B). Surface area of the wedge = Sum of all the surfaces of the wedge
Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(24)[/tex]
= 120 cm²
Area of CDEF = Length × Width
= ED × CD
= 26 × 24
= 624 cm²
Area of BCFA = 10 × 26 = 260 cm²
Area of ABDE = ED × BD
= 26 × 26
= 676 cm²
Total surface area of the wedge = 2(120) + 624 + 260 + 676
= 1800 cm²
C). Volume of the triangular prism = Area of the triangular base × Height
= (Area of BCD) × DE
= 120 × 26
= 3120 cm³
d). By applying sine rule in the right triangle BCD,
sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{BC}{BD}[/tex]
m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]
= 22.6°
if it takes 3 men 5 hours to dig 12 holes, how many hours does it take for 3 men to dig 84 holes?
Answer:
Hence it will take 35hours
Step-by-step explanation:
Let the time it took to dig hole be x
Ley the number of holes be n
Using the relationship x = kn (direct relationship)
if it takes 3 men 5 hours to dig 12 holes, hence;
when x = 5, n = 12
k = x/n
k = 5/12
To get how many hours it take for 3 men to dig 84 holes, then;
when n = 84, x = ?
x = 5/12 * 84
x = 5 * 7
x = 35hours
Hence it will take 35hours
2/5(25y - 50) + 25y simplified
Answer:
35y - 20
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex](25y - 50) + 25y ← distribute parenthesis
= 10y - 20 + 25y ← collect like terms
= 35y - 20
There are 230 cal in 4 ounces of a type of ice cream how many calories are in 6 ounces of that ice cream
Answer: 345 cal
Step-by-step explanation:
Solution 1:
230/4 = x/6
4x = 6(230) use cross multiply
4x = 1380
x = 345 cal
Solution 2:
Cal in 1 ounces: 230/4 = 57.5cal/ounces
Cal in 6 ounces: 57.5cal/ounces x 6 = 345 cal
1/6=n+7/9 what does n equal
Answer:
n=-11/18
Step-by-step explanation:
1/6=n+7/9
Change the sign and move the variable to the left hand side
-n+1/6=7/9
Change its sign and move constant to the right hand side
-n=7/9-1/6
Subtract the fractions
-n=11/18
Change the sign on both sides
n=-11/18
Jordyn is weighing ingredients on a kitchen scale to make bread. The bowl weighs 1½ pounds. He adds several scoops of flour. The total weight of the bowl and the flour is 2¾ pounds. If each cup of flour weighs 5/16 pound, how many cups of flour does he add? Show your work.
Answer:
Weight of the flour = 5/4 pounds
Number of cups added = 4 cups
Step-by-step explanation:
Weight of the bowl = 1½ pounds
Total weight of the bowl and the flour = 2¾ pounds
Weight of the flour = Total weight of the bowl and the flour - Weight of the bowl
= 2¾ pounds - 1½ pounds
= 11/4 - 3/2
= 11-6/4
= 5/4 pounds
Weight of the flour = 5/4 pounds
If each cup of flour weighs 5/16 pound, how many cups of flour does he add
Number of cups added = 5/4 ÷ 5/16
= 5/4 × 16/5
= (5*16)/(4*5)
= 80/20
= 4
Number of cups added = 4 cups
Guys Im so confused right now on these questions please stop and help meh
Answer:= 293.09
Step-by-step explanation:
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What is the square root of ten rounded to the nearest 100th
Answer:
3.162
Step-by-step explanation:
√10 = 3.162
Answer:
Step-by-step explanation:
I hope I can use a calculator and not use logs or a type of long division!
√10 = 3.16227
The hundredth place is the 6. The next place is a 2 which does not have any effect on the 6.
Answer: 3.16
Determine wether the pair of triangles are similar. Explain your answer.
The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.
Where are the zeros of the function?
______and______
Are both zeros meaningful and why?
At what height is the ball thrown?
9514 1404 393
Answer:
zeros: t = 1, t = -1/2no: the domain of the function is t ≥ 08 feetStep-by-step explanation:
The zeros are the values of t that make the factors zero.
1 -t = 0 ⇒ t = 1
8 +16t = 0 ⇒ t = -8/16 = -1/2
The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.
Only the positive zero is in the function's domain, so that is the only one that is meaningful.
__
When t = 0 (at the time the ball is thrown), the function value is ...
h(0) = (1 -0)(8 +0) = 8
The ball is thrown from a height of 8 feet.
The ages of three brothers are consecutive integers. The sum of their ages is 63. Find their ages.
how far is 18 from -14 on a number line
Answer:
32
Step-by-step explanation:
add the absolute value of -14 and 18
Select the word to make the statement true.
Similar polygons are ____ the same size.
A. always
B. sometimes
C. never
Answer:
B.
Hope that helps!
Step-by-step explanation:
Answer:
B. Sometimes
Step-by-step explanation:
Hope this helps!
Which of these is the quadratic parent function?
f(x) = x2
f(x) = |x|
f(x) = x
f(x) = 2x
Answer:
the first one
f(x) = x²
its making me write more
how do i find the volume in 3d shapes, please help i need to get better grades
Find the value of x.
Answer:
[tex]x + 1 + x + 3 = 180[/tex]
by vertically opposite angle theorem
[tex]x + x + 1 + 3 = 180[/tex]
[tex]2x + 4 = 180[/tex]
[tex]2x = 180 - 4 = 176[/tex]
[tex]x = \frac{176}{2} [/tex]
[tex]x = 88[/tex]
have a nice day
write the equation in slope intercept form from the information given
slope=2/7 y-intercept=0
Answer:
y = 2/7x
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
Answer:
[tex]y = \frac{3}{6}x - 3[/tex]
Alex was thinking of a number. Alex doubles it the adds 20 to get answer of 22.7. What was his original number.
Answer:
2.7
Step-by-step explanation:
Let the number alex think be x
Answer = 22.7
According to the question,
x + 20 = 22.7
x = 22.7 - 20
x = 2.7
Therefore, his original number is 2.7
Plz mark me as brainliest
Have a great day
Solve 2x + 6 less than 10
2x2=10
Step-by-step explanation:
2x2==2+2=4
4+6=10
HURRY! please help me please quick
Answer: She jump ropes 7/3 or 2 1/3 of an hour every week
Step-by-step explanation: This is because she jump ropes 1/3 each day and there's 7 days in a week so 7/3 or 2 1/3(2 hours and 20 minutes)
I hope you are having a nice day!
Answer:
2 hours 33 minutes
Step-by-step explanation:
1/3 of an hour is 20 minutes
20 times 7 is 140
140 divided by 60 is 2.33 hours
so 2 hours and 33 minutes
If you are going 250 miles somewhere and it cost 75 cents per mile how much money is that
Answer:
$187.50
Step-by-step explanation:
Set up an equation
250 m/$x = 1 m/$0.75
Cross multiply
250 miles × $0.75 = 1x
$187.50 = x
toy store is having a sale on puzzles. For each puzzle Naomi buys
she gets 75% off a second puzzle. The original price of a puzzle is $16.60.
How much would 4 puzzles cost? *
Answer:
4 puzzles would cost $41.50
Answer:
$41.50
Step-by-step explanation:
Add the currency of your sum then subtract but double the 75%
i hope this helped :)
Which 2 variables are most likely to show a negative correlation when represented on a scatter plot?
Answer:
Water level and temperature
Step-by-step explanation:
Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.
What is the value of x in the figure shown below?
C.
3.4
D
х
39°
5.1
5.1
73°
А
B
3.4
Answer:
here is a example to help, becuase The format is messed up on my side Construct a line CD to cut the line AB at point E.
We know that in the triangle BDE exterior angle is equal to the sum of two opposite interior angles
We know that in the triangle AEC exterior angle is equal to the sum of two opposite interior angles
∠CEB=∠CAB+∠ACE
By substituting the values
Solve the following inequality for x: −4x + 2(5x − 6) > −3x − 39
Answer: x > -3
Step-by-step explanation:
Answer:
x>-3
Step-by-step explanation:
What is the value of x in the diagram below?
Answer:
x = 3
Step-by-step explanation:
We divide the sides by 3 to get the triangle in question
URGENT!!!!
Find Perimeter of the square with the side 15 in.
Use formula P=4s
100 in
60 in
225 in
30 in
Answer:
It's 60 in
Step-by-step explanation:
P = 4s
P = 4 x 15
P = 60 in
I have to find the value of x
k so I tried, and honestly I'm not sure what I'm doing wrong but I'm not sure how to solve it. If anyone could help that would be lovely :') thank youu
Answer:
x = 25
Step-by-step explanation:
A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
3x + 21y = 180°.....(1)
2x + 26y = 180°.....(2)
From equations (1) & (2)
3x + 21 y = 2x + 26y
3x - 2y = 26y - 21y
x = 5y
y = 1/5 x
Plug y = 1/5 x in equation (1)
3x + 21*1/5x = 180
15x + 21x = 180*5
(Multiplying both sides by 5)
36x = 900
x = 900/36
x = 25
Use the Pythagorean Theorem to confirm the three sides of a right triangle.
3. a = 5, b = 12,c = 13
4. a = 4, b = 10,0 = 20
Answer:
3) confirmed right triangle
4) not a right triangle
Step-by-step explanation:
3) 5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169
4) 4^2 + 10^2 = 20^2
16 + 100 = 400
116 does not equal 400