Answer:
m∠B = 36.9 °
Step-by-step explanation:
SOH - CAH - TOA
Sine → Opposite/Hypotenuse
sin(θ) = 3/5
\(\theta = sin^-^1(3/5)\\\)
θ = 36.86 degrees
Round to nearest tenth, so m∠B = 36.9 °
Plzz help will mark brainleast
2)
1,700 gallons for 3 pumps
Divide 1,700 by 3 and we get what one pump does; 566 \(\frac{2}{3}\)
We need 5,500 gallons, so we can divide by 566 \(\frac{2}{3}\) for an answer of about 6.4782. You cannot have half of a pump, so our answer is 7 pumps.
3)
\(\frac{7fragments}{500tons} = \frac{100}{x}\)
Cross multiply:
7 times x = 7x
500 times 100 = 50,000
50,000 = 7x
Divide both sides by 7:
7,142 tons of gravel = x
4)
Dozen = 12
12 divided by 3 (number of eggs) = 4
4 (batches you could make) times 4 (cookies made) = 16
So you could make 16 dozen cookies with a dozen eggs
I hope this helps, have a nice day :D
Hopefully you can read what the fractions say, they are formatted weird xD
A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:
Answer:
12
Step-by-step explanation:
Pythogorean Theorem:
a squared + b squared = c squared
9 squared or 81 + ? squared = 15 squared or 225
Inverse Pythagorean Theorem:
c squared - a squared = b squared
225 - 81 = 144
sqrt (144) = 12
12 = b
Hope this helps! Good luck!
i really do need help with this geometry questions please hlep
the coordinate of X is at 8 units of P and at 4 units to the left of Q
So the coordinate of X is: -5 + 8 = 3
How to find the coordinates of point x?
We know that point X is between points P and Q, in such a way that the ratio between the lengths of the segments PX and XQ is 2:1
First, we can length of the segment PQ is equal to the difference between their coordinates, so we get:
L = 7 - (-5) = 12
Then the length of segment PQ is 12 units, if we divide that in 3 we will get:
12/3 = 4 units.
So the segment PQ can be divided into 3 segments of 4 units each.
If the ratio PX to XQ is 2:1
Then the segment PQ must be divided into 3 parts, such that PX takes two of these parts and XQ is the remaining one.
Then the coordinate of X is at 8 units of P and at 4 units to the left of Q
So the coordinate of X is: -5 + 8 = 3
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Please help find the perimeter and area of the polygon
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Please help me Simplify (z cubed) to the power of four!
Answer:
\(z^{12}\)
Step-by-step explanation:
\((z^{3})^4\) = \(z^{12}\)
Choose all numbers that are divisible by 3
A 61377
B 87405
C 30898
D 6020
E 29830
F 75932
Answer:
A 61377
B 87405
Step-by-step explanation:
If sum of the digits of a number is divisible by 3, then that number is also divisible by 3.
Option A:
Given number is: 61377
Sum of the digits = 6+1+3+7+7 = 24
24 is divisible by 3, hence 61377 is also divisible by 3.
Option B:
Given number is: 87405
Sum of the digits = 8+7+4+0+5 = 24
24 is divisible by 3, hence 87405 is also divisible by 3.
Option C:
Given number is: 30898
Sum of the digits = 3+0+8+9+8 = 28
28 is not divisible by 3, hence 30898 is also not divisible by 3.
Similarly, sum of the digits of the numbers in options D, E and F are 8, 22 and 26 respectively, which are not divisible by 3, hence the numbers 6020, 29830 and 75932 are also not divisible by 3.
Answer the questions in the picture please
Step-by-step explanation:
1) angle 2 and 4
2)angle 2 and 3
3)angle 1 and 4
Hope it helps
Which of the following tables represents a linear relationship that is also proportional
Answer picture below
Answer:
c=200+0.4Yd find determine equlibirum level investment is =400
Answer:im pretty sure its D
Step-by-step explanation:it goes through the origin
a 8. The plans of a house are drawn to a scale of 1:50. (a) Find the actual length, in metres, represented by 14 cm on the plan. (b) What length, in centimetres, on the plan represents an actual length of 11 metres? [N/85/P1]
Answer:
a) 7 m
b) 22 cm
Step-by-step explanation:
Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.
ProportionThe actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.
plan : actual = 1 cm : 50 cm
= 1 cm : 0.5 m
= 2 cm : 1 m
a) 14 cmMultiplying the scale by 7, we have ...
2 cm : 1 m = 14 cm : 7 m
The actual length is 7 meters.
b) 11 mMultiplying the scale by 11, we have ...
2 cm : 1 m = 22 cm : 11 m
The plan length is 22 cm.
The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.
The cost of the wallpaper per square foot is $4.
To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.
The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.
The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.
The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.
The total surface area of the box is 36 + 30 + 60 = 126 square feet.
Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.
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Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?
How do you write 9.79 x 101 in standard form
I
Answer:
Scientific notation: 9.79 × 10^1
Standard form: 97.9
Someone help i really need help with this
The percentage increase in the number of water bottles from February to April is 19%.
How to find the percentage increase?A company manufactures water bottles. The list describes the amount of water bottles manufactured in three months.
Therefore,
February: 4100 water bottles
March: 7% more water bottles than in February
April: 500 more water bottles than in march
Therefore,
Number of water bottles in march = 4100 + 7% of 4100
Number of water bottles in march =4100 + 7 / 100 × 4100
Number of water bottles in march = 4100 + 287
Number of water bottles in march = 4387
Hence,
Number of water bottles manufactured in April = 4387 + 500 = 4887
Therefore,
percentage increase from February to April = 4887 - 4100 / 4100 × 100
percentage increase from February to April = 787 / 4100 × 100
percentage increase from February to April = 78700 / 4100
percentage increase from February to April = 19.1951219512
percentage increase from February to April = 19%
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Please help me please
Answer:
Step-by-step explanation:
110_5
Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
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a quadrilateral has diagonals that are perpendicular but not congruent. This quadrilateral could be
Answer:
Rhombus
Step-by-step explanation:
This could be a rhombus since in a square, the lines are congruent and perpendicular, so we move on to a broader shape, rectangles. the diagonals are congruent but not perpendicular, so we go to rhombus, and in a rhombus the diagonals are not congruent but they are perpendicular.
The school spent $504 on calculators. How
many did the school buy?
Answer:
How much are these calculators??
Step-by-step explanation:
Which of the following is always true of a dependent system of two equations?
The lines are perpendicular.
One of the lines has a positive slope and the other has a negative slope.
The lines intersect at exactly one point.
There are infinitely many solutions.
The only solution that is true about the dependent system of equations is "There are infinitely many solutions".
What is a System of equations?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of equations to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
As discussed above the Dependent consistent system has infinitely many solutions as their line are coinciding, therefore, the only solution that is true about the dependent system of equations is "There are infinitely many solutions".
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what scale factor was used for this dilation
By taking a quotient between correspondent side lengths, we will see that the scale factor of the dilation applied to the quadrilateral is S = 4.
What is the scale factor of the dilation?The scale factor of the dilation is given by the quotient between the length of one of the sides of the dilated figure and the length of the correspondent side of the original figure.
Here the original figure is the smaller quadrilateral, and the dilated figure is the larger one
If we select the top side, the length on the dilated figure is 72 inches, and the length of that side on the original figure is 18 inches, then the scale factor of the dilation is given by:
S = 72in/18in = 4
The scale factor of the dilation is 4.
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What is the slope of the coordinates (8,1) and (5,-2)
Answer:
I know this isn't the answer you'd like, but there's a graphing app called ''desmos'' and you can enter the equation in there and it gives you your answer.
Step-by-step explanation:
The product of two positive integers is 20. Find the two numbers
Answer:
1 and 20 or 2 and 10 or 4 and 5
Step-by-step explanation:
the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20
Then
20 = 1 × 20
= 2 × 10
= 4 × 5
Use the fact that 135 X 37= 4,995 to find the value of 1,350 X 3,700?
Answer:
The anwser is 4,995,000 ok
Use the equation d=z–9 to find the value of d when z=10.
d=
Step-by-step explanation:
d = z - 9
d = 10 - 9 ----> substitute
d = 1
You are interested in finding out whether middle-aged men who have premature heartbeats are at greater risk of developing a myocardial infarction (heart attack) than men whose heartbeats are regular. Electrocardiogram (ECG) examinations are performed on all male office employees 35 years of age or older who work for oil companies in Houston. The ECG tracings are classified as irregular or regular. Five years later, myocardial infarction rates are compared between those with and those without baseline ECG irregularities. What kind of study is this?
a. Cross-sectional study
b. Case-control study
c. Prospective cohort study
d. Retrospective cohort study
e. Clinical trial
f. Community trial
Answer:
The answer is "Option C".
Step-by-step explanation:
This study looks after results including such illness growth during the trial time, and this includes additional elements such as suspected risk or source of protection (s). The study usually consists of taking and looking at such a cohort of subjects for a long time. The main advantage of these studies is knowledge accumulation and higher efficiency. Systematic reviews may suffer from choice distortion, in addition to the potential indication misinterpretation.
Please help b² + 4
when b = 3
Answer:
13
Step-by-step explanation:
replace b with 3 and solve:
3² + 4 = 13
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Don’t understand it, helppp
Answer: dont you have the numbers on the side
Step-by-step explanation:
Translate the sentence into an inequality.
Eight subtracted from the product of 7 and a number is greater than 30.
Use the variable c for the unknown number.
Answer:
the unknown number c must be greater than 5.4286 in order for the inequality to be true. We can write this in interval notation as (5.4286, ∞).
Step-by-step explanation:
The inequality can be written as:
7c - 8 > 30
To solve for c, we can first add 8 to both sides:
7c > 38
Then, we can divide both sides by 7:
c > 38/7
So the solution is:
c > 5.4286
Therefore, the unknown number c must be greater than 5.4286 in order for the inequality to be true. We can write this in interval notation as (5.4286, ∞).
Kevin was solving for the area of the triangle below. 8 in: 5 in The formula for area of a triangle is A = =bh. Kevin's answer for the area of this triangle was 40 inches?. Is Kevin's solution correct? Why or why not? If not, what was his mistake? If not, what is the correct solution for the area of this triangle?
Kevin's solution is incorrect because he used wrong formula.
Correct area of triangle = 20 square inches.
What is area of triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height,
i.e. A = 1/2 × b × h
Given,
Height of triangle h = 8 inches
Base of the triangle b = 5 inches
Formula for area of triangle A = 1/2(b h)
A = 1/2 (8 × 5)
A = 40/2
A = 20 square inches.
Area by given formula for area of the triangle A = b h
A = 8 × 5
A = 40
Since actual area of the triangle is 20 square inch, Kevin found the area with wrong formula.
Actual area of triangle is 20 square inches.
Hence, Kevin's solution is incorrect, as the formula used is wrong.
20 square inches is correct area of the triangle.
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