Complete Question
A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘. Find the height of the church
Answer:
138.3 ft
Step-by-step explanation:
We solve this question above using using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent
Where:
Opposite = Height of the church = x
Adjacent = Distance for the base of the church = 213ft
Angle of elevation θ = 33°
Hence:
tan 33 = x /213 ft
Cross Multiply
x = tan 33 × 213 ft
x = 138.32381735 ft
x = Opposite Approximately = 138.3 ft
Therefore, the height of the church = 138.3 ft
Can Somebody please help me?
The histogram gives information about a fitness club
Answer:
a)
b) 99
Step-by-step explanation:
i'm not sure about a
but for b i got 99 members
PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answer:
4 quizzes are taken per week
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
Yes it is parallelogram because diagonals bisect each other.
The product of two whole numbers is 608 and their sum is 51 .what are the two numbers ?
Answer:
The product of 19 and 32 is 608 and their sum adds up to 51.
The two numbers are: 19 and 32
Find the value of x help please.
Answer:
x= 6
Step-by-step explanation:
since the triangle is isosceles we know that opposite sides are equal
[tex]5x+5=35\\\\5x=35-5\\\\5x=30\\\\x=\frac{30}{5}\\\\x=6[/tex]
Answer:
[tex]\boxed {\boxed {\sf x=6}}[/tex]
Step-by-step explanation:
An isosceles triangle has 2 equal base angles and 2 equal legs.
In this triangle, 16 must be the base, because the base angles are adjacent. Therefore, the legs are 35 and 5x+5. They must be equal to each other.
[tex]35=5x+5[/tex]
Solve for the value of x by isolating the variable on one side of the equation.
5 is being added to 5x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
[tex]35-5=5x+5-5 \\ 35-5=5x\\30=5x[/tex]
x is being multiplied by 5. The inverse of multiplication is division. Divide both sides by 5.
[tex]\frac{30}{5} =\frac{5x}{5} \\\frac{30}{5}=x\\6=x[/tex]
The value of x is 6.
MATH WORK PLEASE HELP GIVING MANY POINTS ONLY DO THE ONES IN PURPLE!!
Answer:
Step-by-step explanation:
8,3,4,6,7,2,5,
Use Pythagorean theorem to solve for x
Answer:
339.7705
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
Total Area = 26.75
Step-by-step explanation:
Remark
The hardest triangle to see is the top one. So we'll start with it.
It has a vertical leg of 3.5 and a horizontal one of 2 + 2 + 5 = 9
Top Triangle Area
Area = 1/2 base * height
Area = 1/2 * 9 * 3.5
Area = 15.75
Triangle on the lower left
Area = 1/2 * 2 * 2
Area = 2
Square on lower middle
Area = 2*2
Area = 4
Triangle on lower right area
Area = 1/2 * 2 * 5
Area = 5
Total Area
Total Area = 5 + 4 + 2 + 15.75
Total Area = 26.75
Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
25W+40J<120
According to the inequality, at what rate does Mwamini drink juice, and what is her time limit?
Mwamini drinks juice at a rate of ___
seconds per liter, and her time limit is ____
seconds.
Can Mwamini drink 2 liters of water and 1 liter of juice within her time limit?
Choose 1 answer:
yes or no
Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
Answer:Yes
Step-by-step explanation:
1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
2) Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
What is inequality?"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
For given question,
We have been given an inequality 25W + 40J < 120
W represent the number of liters of water and J represent the number of liters of juice.
Mwamini drinks water at a rate of 25 seconds per liter.
Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
If Mwamini drinks 2 liters of water and 1 liter of juice.
Here, W = 2 lit and J = 1 lit
So, ⇒ 25W + 40J
= 25(2) + 40(1)
= 50 + 40
= 90
< 120
This means, Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
Learn more about inequality here:
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find the value of -12.8-88.2
Answer:
-101
Step-by-step explanation:
Answer:
-101
Step-by-step explanation:
-12.8-88.2 is equal to -101
kazito sold an item for sh 4950 and made a 12 ¹/2profit.what was the cost price of the item?
Answer:
[tex]Cost\ Price = 4331.25[/tex]
Step-by-step explanation:
Given
Selling Price = Sh. 4950
Profit = 12.5%
Required
Determine the cost price
Profit is calculated as:
[tex]Profit = \frac{Selling\ Price - Cost\ Price}{Selling\ Price} * 100\%[/tex]
Substitute values for Selling Price and Profit
[tex]12.5\% = \frac{4950 - Cost\ Price}{4950} * 100\%[/tex]
Cross Multiply:
[tex]4950 * 12.5\% = (4950 - Cost\ Price) 100\%[/tex]
[tex]\frac{4950 * 12.5\%}{100\%} = (4950 - Cost\ Price)[/tex]
[tex]618.75 = (4950 - Cost\ Price)[/tex]
Collect Like Terms
[tex]Cost\ Price = 4950 - 618.75[/tex]
[tex]Cost\ Price = 4331.25[/tex]
Hence, the cost price of the item is: Sh. 4331.25
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Step-by-step explanation:
7 [tex]\frac{1}{2}[/tex] ÷ 2
A. 2 × ? = 7[tex]\frac{1}{2}[/tex]
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
"in the table below, Identify the figure,find it's perimeter, and find it's area.". <- that's the question
Answer:
✔️Quarter circle
✔️Area = 38.5 cm² (nearest tenth)
✔️Perimeter = 25.0 cm (nearest tenth)
Step-by-step explanation:
✔️The figure given is a ¼ circle
Radius is given as = 7 cm
✔️Area = ¼(πr²)
Plug in the value of r
Area = ¼(π*7²)
Area = ¼(π*49)
Area = 38.5 cm² (nearest tenth)
✔️Perimeter = ¼(2πr) + 2r
Plug in the value of r
Perimeter = ¼(2*π*7) + 2(7)
Perimeter = ¼(14π) + 14
Perimeter = 25.0 cm (nearest tenth)
Find the value of 92^6/92^2
Answer:
=92^4 in think
Step-by-step explanation:
Cesar bought lunch at school. He had a sandwich and a drink that cost $12. His drink cost $3.50. Solve the equation 12=s+3.50 to find the cost of 's sandwich, s.
Answer:
$8.50
Step-by-step explanation:
12=s+3.50
-3.50 -3.50
8.50=s
1. What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (ie, if you increase one variable what happens to the acceleration?)
Answer:
Force = mass * acceleration
Acceleration = force/mass
As force increases, acceleration increases.
As mass increases acceleration decreases
Step-by-step explanation:
Given a1 = 1 and an = an-1 + 2. Find a7.
A 9
B 11
C 7
D 13
Answer:
7
Step-by-step explanation:
Sorry if my answer is wrong
True or False: The rate at which men and women preferred SUV's are exactly the same.
True
False
Answer:
False
Step-by-step explanation:
The male's want sports cars more and the female's want SUV's more.
Write 16.24 as a fraction in simplest form
Answer:
2/3
Step-by-step explanation:
16/24 = 14/ 21 = 12/ 18 10/ 15 8/12 6/9 4/6 = 2/3
The simplest form of the number 16.24 in fraction would be 406/25.
Used the concept of fraction which states that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
The number is 16.24.
Now, it can be written as,
[tex]16.24 = \dfrac{16.24 \times 100}{100}[/tex]
[tex]= \dfrac{1624}{100}[/tex]
Therefore, the simplest form is,
[tex]= \dfrac{406}{25}[/tex]
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Angle DEB is 71. What size is ABD
Answer:
71°
Step-by-step explanation:
ABD is alternate to DEB. Therefore ADB = DEB = 71°
The required size of angle ABD is 71.
What is alternate segment theorem?The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.
Now it is given that,
angle DEB = 71
Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.
Now, AC is the tangent of the circle that passes through point B.
The tangent makes an angle ABD with the chord BD.
Now, given that ∠DEB = 71 in the alternate segment.
Now, we have to prove that ∠ABD = 71.
Thus, OD =OB (Both are the radii of the circle)
Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)
Since, OBD is an isosceles triangle
∠BOD = 180° – ∠ODB – ∠OBD
∠BOD = 180° – 2∠OBD …(1)
Since, the line segment AC is the tangent line,
∠OBA = 90°
Therefore, ∠OBA = 90° – ∠OBD …(2)
From the equations (1) and (2), we can write
∠AOB = 2∠DEB
We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.
∠BOD = 2∠DEB
∠DEB = (½)∠BOD
Now, substitute ∠BOD = 2∠DEB in the above equation, we get
∠DEB = (½)2∠DEB
∠DEB = ∠DEB
⇒ ∠DEB =71
Thus, the required size of angle ABD is 71.
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An item is originally $52. It is on sale for 20% off. What is the sale price?
Answer:
$41.6
Step-by-step explanation:
20/100 x 52 = 10.4
52 - 10.4 = 41.6
is a spray bottle a gallon pint quart or cup
Answer:
most bottles are
about 2 pints
Step-by-step explanation:
Plz mark brainliest!
Answer:
I depends on the size a big can have 2 cups ,a medium can have 1 cup and the small has 2 pints
Step-by-step explanation:
simplify the expression -2(t + 7)
Answer:
-2t-14
Step-by-step explanation:
Answer:
-2t - 14
Step-by-step explanation:
-2(t + 7)
distribute
(-2 * t) + (-2 * 7)
-2t + -2 * 7
-2t - 14
A family discount card offers deals for the cinema. The card states:
The cost of an adult is $10. A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to save
money on the cost of the card? 7m
Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2 /5 of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price
there are 36 students playing tag at recess. this is six times as many as are playing hopscotch which model shows the comparison
Answer:
6 are playing hopscotch
Step-by-step explanation:
Question 7
1 pts
8. Tianna worked 45 hours last week. Her employer pays time and a half for hours over 40. Her gross pay was $451.25. What is her
hourly rate?
Answer:
$9.50
Step-by-step explanation:
40x + (5*1.5*x) = 451.25
40x + 7.5x = 451.25
47.5x = 451.25
x = 9.50
13. Which property is illustrated by the statement 3•1=3?
A Associative
C. Distributive
B. Commutative
D. Identity
it's a I know this because I'm in the 8th
Step-by-step explanation:
it's a
Which object has volume?
a bottle of orange paint
a soccer pitch
a playing card
a stop sign
Answer:
All of them but the biggest is soccer pitch
Step-by-step explanation:
Volume is how much something takes up of space.