What is the value of y?
Answer:
C
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
114° is an external angle of the triangle , thus
y + y = 114°
2y = 114° ( divide both sides by 2 )
y = 57° → C
A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.2 in. The slant height of the pyramid is 88.2 in. What is the height of the pyramid?
Answer:
The height is 87.5 inStep-by-step explanation:
We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle
the slant height is equivalent to the hypotenuse
the height is equivalent to the opposite
while the base(half) is the adjacent
Given
the base of the pyramid= [tex]22.2 in[/tex]
the adjacent is = [tex]\frac{22.2}{2} = 11.1 in[/tex]
the slant height (hypotenuse)= [tex]88.2 in[/tex]
we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').
[tex]c^2=a^2 + b^2[/tex]
[tex]hyp^2=opp^2+adj^2[/tex]
substituting we have
[tex]88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in[/tex]
84 ounces is how many pounds?
Answer:
5.25 pounds
Step-by-step explanation:
We know that 16 ounces = 1 pound
Divide 84 ounces by 1 pound
84/16 = 5.25 pounds
Answer:
[tex]5.25 \: \: pounds[/tex]
Step-by-step explanation:
[tex]1 \: \: pounds = 16 \: ounces \\ [/tex]
so,
[tex]84 \: \: ounce = 5.25 \: \: pounds[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?
Answer:
∠72°.
Step-by-step explanation:
If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:
[tex]\frac{4}{20} = \frac{x}{360}[/tex]
Cross multiply:
[tex]1440 = 20x\\[/tex]
Divide both sides by '20':
x = 72°.
Therefore, the measure of the central angle of the arc is ∠72°.
How many solutions does the system have
Answer:
Step-by-step explanation:
28x-12y=16 and -6x-12y=3
or
14x-6y=4 and -14-28y=1
or
-28x-12y=16 and 28x-56y=14
Can someone please answer this I’m stuck
Fredrick has a square with an area of 36 square inches. He decides to enlarge the square by adding 4 inches on each side. What is the area of the enlarged square?
Answer:
100
Step-by-step explanation:
6x6=36
adding 4 is equal to 10
10x10 = 100
Find the inverse of the function Y=(X -4) cubed
Step-by-step explanation:
replace x with y and y with x
The area of a rectangular piece of land is 2/3 square mile. One dimension
is 1 1/2 miles.
Answer:
1
Step-by-step explanation:
The Other Dimension:
2/3 divided by 1 1/2 = 2/3 x 3/2 = 1
Hope this helps
Ps. I have taken the dimension length to be a mixed number, because they were farther apart. please let me know if wrong
A train from Philadelphia to Boston left Philadelphia at 1 pm and arrived to Boston at 4 pm. What was its average speed if the distance it covered was 270 miles?
Answer:
90 miles per hour is the average speed.
Step-by-step explanation:
The formula for Average Speed can be given as follows:
[tex]\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}[/tex]
Here time taken is from 1 PM to 4 PM i.e.
Total Time taken = (4-1) hours = 3 hours
Also, it is given that the Total distance covered = 270 miles
As per the formula above:
[tex]\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour[/tex]
So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.
What is the value of x in the equation x - ty = 30, when y = 15?
Answer:
t15 is equal to 30-x so therefore t= 30-x/15
Determine f(5)
f(x)=2x'2-1 if x < or equal to -1
3x+2 if x > -1
Answer:
To make it clearer, I just put every thing under the formal form
f(x) = [tex]\left \{ {{2x^2-1~~~~if~~~~ x\leq -1} \atop {3x+2~~~~~if~~~~~x>-1}} \right.[/tex]
Step-by-step explanation:
Now, you have 2 equations with 2 conditions. One is > -1, and one is < -1.
The question is about f (5). So, which equation you use to replace x = 5? The first one or the second one? and why?
Answering those questions help you understand how it works.
All corresponding sides are proportional (same ratio) in similar figures. True or False
Answer:
true
Step-by-step explanation:
is it true? i am not sure
Below is the graph of y=bx. Find b. On a coordinate plane, an exponential function approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. b =
Answer:
b=0.5
and the other part is:
B.) The graph shows exponential decay
D.) The graph shows y=2^x reflected over the y-axis
Step-by-step explanation:
i just did this problem on edge 2020
Answer: 0.5, B&D
Step-by-step explanation:
what is 15 + 8(2-3)
Answer:
7
Step-by-step explanation:
15 + 8(2 - 3)
15 + 16 - 24
15 - 8
= 7
YEAR 9 MATHS PLEASE HLEP A café owner records the average monthly temperature and the monthly sales of soup over a year. The average monthly temperature for the next month is predicted to be 7°C. Use the graph to estimate the sales of soup that month.
Answer:
480.
Step-by-step explanation:
We would need to draw the line of best fit through these point.
An estimate would be about 480.
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 35 minutes without stopping.
Calculate the cyclist's average speed in mph.
Answer: [tex]12\ mph[/tex]
Step-by-step explanation:
Given
First cyclist travels [tex]3\ miles[/tex] in [tex]15\ min[/tex]
Then, [tex]7\ miles[/tex] in [tex]35\ min[/tex]
Average speed is given by [tex]=\dfrac{\text{Distance}}{\text{time taken}}[/tex]
[tex]V_{avg}=\dfrac{3+7}{15+35}[/tex]
[tex]V_{avg}=\dfrac{10}{50}=\dfrac{1}{5}\ mile/min[/tex]
[tex]V_{avg}=\dfrac{1}{5}\times 60\ miles/hr[/tex]
[tex]V_{avg}=12\ mph[/tex]
Thus cyclist speed is [tex]12\ mph[/tex]
5. A company is deciding which box to use for their merchandise. The first box measures 8 inches by 6.25 inches by 10.5 inches. The second box measures 9 inches by 5.5 inches by 11.75 inches. Which box required more material to make?
6. If each box (from #5) used material that cost $0.03 per square inch to make, how much does a company save by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box?
Answer: 5. The second box required more material to make.
6. A company saves about $84.94 by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box.
Step-by-step explanation:
5. To solve this problem you need to find the volume of the boxes.
Volume of the first box.
v= 8 * 6.25 * 10.5
v= 525
Second box volume
9 * 5.5 * 11.75 = 581.625
Which means the second box required more material to make because it has the greatest volume.
6. To solve this you have to multiply the volume of small and large boxes by 50 the multiply it by 0.03.
525 * 50 = 26250 * 0.03 = 785.5
581.625 *50 = 29081.25 * 0.03= 872.4375
872.4375 - 785.5 = 84.9375 which is about $84.94.
a is the point with coordinates (4,6)
b is the point with coordinates (d,21)
the graident of line AB is 3
what is the value of d
Answer:
d = 9
Step-by-step explanation:
Calculate the slope of ab then equate to 3.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)
m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )
3(d - 4) = 15 ( divide both sides by 3 )
d - 4 = 5 ( add 4 to both sides )
d = 9
Could you please help with this question
Answer:
0
Step-by-step explanation:
Smallest value of C would be when A = - 2 and B = - 2
[tex]\because C = (A - B) ^2 \\ \therefore C = \{ - 2- ( - 2) \}^2 \\ \therefore C = \{ - 2 + 2 \}^2 \\ \therefore C = \{ 0 \}^2 \\ \huge \red{ \boxed{\therefore C = 0}}[/tex]
Round 2,461,612,242 to the nearest billion
Answer:
2,000,000,000.
Step-by-step explanation:
We know that when rounding, we take a look at the digit next to the digit we are rounding. So if I were to ask for you to round 122 to the nearest hundred, then the answer would be 100.
Remember that we round down if the digit next to it is 0-4. If the digit is 5-9, then we round up.
In this case, the digit next to the 2 is a 4. We know that we round down with a 4, so we go to the nearest whole billion, in this case 2 billion.
I hope this helps!
please help with this for brainliest
Answer:
105cm^2
Step-by-step explanation:
5 times 6 = 30
30 div 2 = 15
6 times 15 = 90
90 + 15 = 105
Traduce el enunciado a expresión algebraica La suma de dos números pares consecutivos
Answer:
The answer is "Expression: x+(x+2)".
Step-by-step explanation:
Given:
The sum of two consecutive even numbers
Proving:
Let,
The First number is = x
The second consecutive number is = x+2
Calculating value by adding value:
Expression:
[tex]\Rightarrow x+(x+2)\\\\[/tex]
when x= 1, 2, 3 .... it gives:
[tex]\Rightarrow 1+(1+2)= 1+3=4\\\\\Rightarrow 2+(2+2)= 2+4=6\\\\\Rightarrow 3+(3+2)= 3+5=8\\[/tex]
That's why the sum of consecutive numbers is even.
The total cost for my brother's bowling party was \$140 sign, 140. It cost \$50$ sign, 50 to reserve a bowling lane plus the cost of renting shoes for the 9 c people attending.
Answer:
$10
Step-by-step explanation:
see attachment for the complete question.
140 - 50=90
90 divided by 9 is 10
Therefore,the cost of shoes per person is $10.
find 8x^3 -22x^2 -4
divided by 4x-3
Please help, I am very confused!!!!!
Answer:
6 times 7 times 8
Step-by-step explanation:
A bicycle ramp used for competitions is a triangular prism. The volume of the ramp is 313.2 cubic feet. Write and solve an equation to find the width of the ramp.
Answer:
l = 626.4/bh
Step-by-step explanation:
A triangular prism have a base that is triangular in shape. The volume of a prism has the volume represented as follows.
volume = Al
where
A = Base area
l = width
Since the base is a triangle the base area will be the area of a triangle. Therefore,
volume of a triangular prism = 1/2bh l
where
b = base of triangle
h = height of triangle
volume = 313.2 ft³
313.2 = 1/2bh l
Make the width(l) subject of the formula
multiply both sides by 2
626.4 = bhl
divide both sides by bh
l = 626.4/bh
l = 626.4/bh
recall l = width
107.843137255 to 1 decimal point
Answer:
107.8
Step-by-step explanation:
1 decimal point is the tenths place, thus we have 107.8
can someone help and where do I put the,
Answer:
[tex]4000[/tex]
Step-by-step explanation:
[tex]8949-5324[/tex]
[tex]=3625[/tex]
Calculate the area of the circle below. (Use 3.14 for Pi)
A. 200.96 square inches
B. 50.24 square inches
C. 25.12 square inches
D. 401.92 square inches
Answer:
A =200.96 in ^2
Step-by-step explanation:
The radius of the circle is 8 in
The area of the circle is
A = pi r^2
A = 3.14 * 8^2
A =200.96 in ^2
Answer:
A is the answer
Step-by-step explanation:
Area of a circle= 3.14*8^2
8^2=64
64*3.14=200.96
