Answer:
5/6
Step-by-step explanation:
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°
What’s the volume of the rectangular prism
Answer:
24cm3
Step-by-step explanation:
The ages of three brothers are consecutive integers. The sum of their ages is 63. Find their ages.
Does anyone know this answer plz??
Answer:
y = 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (- 2, 3)
m = [tex]\frac{3-1}{-2+3}[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (- 3, 1 ) into the partial equation
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = 2x + 7 ← equation of line
Bert is planning to open a savings account that earns 1.6% simple interest. He wants to earn exactly $336 in interest after 3 years. How much money should he deposit
Answer:
30.50
Step-by-step explanation:
just add
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 :)
There are a total of 63 bikes at a sports shop. If 18 bikes are blue, what is the ratio of blue bikes to black bikes?
Answer:
45 to 18 it's easy
Step-by-step explanation:
subtract 18 from 63 and there is your ratio
solve this equation for y, y=x-4
Answer:
It’s already solved for y
y = x - 4
Step-by-step explanation:
If it’s for x, X = y + 4
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
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:
How to find the estimate square root of 23?
Answer:The square root is √23 = 4.795.
Step-by-step explanation:
1. Akari has a sink that is shaped like a half-sphere. The sink has a volume of
8000
*n in. One day, her sink clogged. She has to use one of two
3
cylindrical cups to scoop the water out of the sink. The sink is completely full,
when Akari begins scooping. Hint: you may need to find the volume for both.
(a) Cup A has a diameter of 4 in, and a height of 8 in. Find the Volume of Cup A.
(b) Determine how many cups of water must Akari scoop out of the sink with Cup A to
empty it? Round the number of scoops to the nearest whole number, and make
certain to show your work.
(c) Cup B has a diameter of 8 in, and a height of 8 in. Find the volume of Cup B.
(d) How many cups of water must she scoop out of the sink with Cup B to empty it?
Round the number of scoops to the nearest whole number, and make certain to
show your work
Answer:
the fisrst cup has a volume of 100.53
Step-by-step explanation:
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
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.
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
Determine wether the pair of triangles are similar. Explain your answer.
Guys Im so confused right now on these questions please stop and help meh
Answer:= 293.09
Step-by-step explanation:
poop
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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
If the midpoints of the sides of ∆EFG shown below were connected with line segments, what would be the perimeter of the resulting triangle? Explain how you arrived at your answer. *
Answer:
17.5
Step-by-step explanation:
I beleive since we are connecting midpoints you divide each side by 2 and add them all up to get the perimeter of the smaller triangle made with the ratio of 1:2
The midpoints of the sides of ∆EFG are connected with line segments, then the perimeter of that triangle is 15.5 cm.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Given
If the midpoints of the sides of ∆EFG shown below were connected with line segments.
Then the sides of the triangle get half.
Then the perimeter will be of a new triangle will be
[tex]\rm Perimeter = \dfrac{8}{2} + \dfrac{15}{2} +\dfrac{12}{2}\\\\Perimeter = 17.5[/tex]
Thus, the midpoints of the sides of ∆EFG are connected with line segments, then the perimeter of that triangle is 15.5 cm.
More about the triangle link is given below.
https://brainly.com/question/25813512
a number which only 2 factors is called a
Answer:
prime number
Step-by-step explanation:
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
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
Solve the equation 5.5(x-3)=17+10.5 in systems of equations. How can you find your solution?
Answer:
x= 8
Step-by-step explanation:
5.5(x-3)=17+10.5
5.5x - 16.5= 27.5
5.5x= 44
x= 8
Mr. King divides his entire class into 8 stations. He assigns 4 students to each station. How many students are in the class?
Answer:
32 students are in the class.
Step-by-step explanation:
8 * 4 = 32
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Answer:
32
Step-by-step explanation:
8 multiplied by 4
yeah can someone help
Answer:
14 2/3
Step-by-step explanation:
multiply the area of the base by the height which is also 2 x 7 1/3. that is equal to 14 2/3
:)
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
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.
Find the equation of the line.
Use exact numbers.
Answer:
[tex]y = \frac{3}{6}x - 3[/tex]
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
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: