Answer:
The secant of angle x; sec x = √17
Step-by-step explanation:
Here, given the tangent of an angle, we want to find the value of the secant
Mathematically;
sec^2 x = 1 + tan^2 x
This is from trigonometric identity
Thus;
sec x = √(1 + tan^2 x)
According to the question;
tan x = 4
So tan^2 x = 4^2 = 16
Thus;
sec x = √1 + 4^2
sec x = √17
Firefighters need to use a 60-foot ladder to save a child. She is 50 feet above street
level. To the nearest tenth of a foot, how far from the bottom of the building must the
ladder be placed in order to reach the child exactly?
Answer:
The ladder must be placed at a distance of 33.2 feet from the bottom of the building
Step-by-step explanation:
From what we have here, we are looking at a right angled triangle with the hypotenuse which is the length of the ladder
The height of the child is 50 feet from ground level
So we need to get the third side of the triangle
We can get this by considering the use of Pythagoras’ theorem
This will give us the length of the third side of the triangle
From Pythagoras’ the square of the hypotenuse is equal the sum of the squares of the two other sides
Let the unknown side be x
Thus;
60^2 = 50^2 + x^2
x^2 = 60^2 - 50^2
x^2 = (60-50)(60+50)
x^2 = (10)(110)
x^2 = 1100
x = square root of 1100
x = 33.166
To the nearest tenth, this is 33.2 feet
There are a total of 24 people at Camp Float-Away. If 4 of the people are counselors, what is the ratio of campers to counselors?
Answer:
5:1
Step-by-step explanation:
Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1
HELLO, plz answer this. Ming won 121 lollipops playing basketball at her school's game night. Later, She gave 48 to each of her friends. She only has 9 remaining. How many friends does she have? Write an equation for this problem and solve it with steps.
Answer:
Ming has 2 friends
(121-9)÷48= 2.3
You can´t split apart people.
First subtract 9 from 121 then divide by 48 to find how man friends Ming has.
A factory can produce 18,000 toy cars in an 8 hour shift. At this rate, in how many shifts could the factory produce 90,000 toy cars? *
Answer
In five shifts, the factory could produce 90,000 toy cars.
Step-by-step explanation:
Multiply 18,000 by 5 to get 90,000 cars.
pls help I will give you brainliest just help please
Answer:
The answer is A & D.
Step-by-step explanation:
Hope this helps
Given: -2(5x-3/4)=-10x+3/2
-2(5x)+(-2)(-3/4)
=-10x+3/2
ax+by=c What is the equivalent equation
$1500 at 4% for 5 years
show your work please.
Answer:
$12825
Step-by-step explanation:
If the amount is 1.500 and intrest rate 4.00% and we have 5 years to invenst then that gives us $12.825
If I parallel m, find the value of x and y
Answer:
x=24 y=9.8
Step-by-step explanation:
5y-23=3x
47+3x+2x+13=180
Can somebody help plz
1. x + 5 = 23 2. 2x + 1 = 13
3. 3x - 7 = 14
Please help!!!
3(x + 8) − 1 = 3x + 4
Answer:No value
Step-by-step explanation:there are no value solutions that make x a solution
Answer:
19
Step-by-step explanation:
3(x+8)-1=3x+3 3x+24-1=3x+4 3x+23=3x+4 3x+19=3x -3x+3x=19
x=19
Find the area .
Easy points
Answer:
570
Step-by-step explanation:
Area formula: 1/2bh
A: 38 x 30 = 1140
A: 1140 x 1/2 = 570
A: 570
Answer:
570
Step-by-step explanation:
A rental car cost 36 for one day plus additional 0.42 per mile. Simplify the expression 36 + 0.42( 78) to determine the cost of renting a car and driving it 78 miles
A. 68.76
B.70.08
C. 93.12
D. 2,808.42
Answer:
The Answer is A
Step-by-step explanation: What you do is multiply 0.42 by 78 since that is what it costs per mile which is 32.76.
And then you add 36 and you get 68.76
8/8, 34/34, 100/100 all equal
Answer:sndkzkz
Step-by-step explanation:
Emma
Answer:
yes
they all equal one
Step-by-step explanation:
Find the measure of angles 1,2 and 3
Answer:
??
Step-by-step explanation:
where is the question
*I'll mark your answer BRAINLY*
solve the system of equations 10x+12y=380
6x+8y=244
HELP!!BRAINLIEST AND 10 POINTS
Answer:
A
Step-by-step explanation:
I think that's da answer I hope it help ya
What is the answer and method to find the quotient of 5.25/1.5
Answer: 3.5
Use long division
The ratio of collectible cards Deshawn owns to cards that Stephanie owns is 5:2 Stephanie has 36 cards how will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.
Given :
The ratio of collectable cards Deshawn owns to cards that Stephanie owns is 5:2.
Stephanie has 36 cards.
To Find :
How will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.
Solution :
Number of card Deshawn had, n = 5/2 × 36
n = 90 .
Number of card after they sell half there cards :
[tex]n_D = \dfrac{90}{2}=45[/tex]
[tex]n_S=\dfrac{36}{2}=18[/tex]
Therefore, new ratio is [tex]\dfrac{45}{18}=5 : 2[/tex].
So, new ratio will be same.
Is the solution to a two-variable inequality always a solution of the related function? Explain.
Answer:
not always
Step-by-step explanation:
above
HELP! ONLY HAVE 4 MINS!!!!!!1
Answer:
the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4
the slope for b is 0
Step-by-step explanation:
hope this helped :-)
someone knows what number multiplied twice by the same can give me results 130!!!! Help plis plisss
Answer:
i will try to help you....
Answer:
65 i believe
Step-by-step explanation:
130/2
= 65
and
65 x 65 = 130
Solve this problem.
Don't answer if you don't know. NO IMPROPER ANSWERS.
Answer: 9.
Step-by-step explanation: First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.
Answer: The answer is 9.
Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D
The radius of Earth is 6,371.0 kilometers and the radius of Earth's Moon is 1,737.5 kilometers. What is the approximate difference in the circumferences, in kilometers, of Earth and Earth's Moon? Round your answer to the nearest tenth of a kilometer.
Answer:
Step-by-step explanation:
Circumference of a circle is expressed as;
C = 2πr
r is the radius
Given
radius of Earth r1 = 6,371.0 kilometers
the radius of Earth's Moon r2 = 1,737.5 kilometers
The difference in their circumference will be expressed as;
C = 2π(r1-r2)
C = 2π(6371.0-1737.5)
C = 2π(4633.5)
C = 2(3.14(4633.5))
C = 29,098.38km
C = 29,098.4
Hence the difference in their circumference to the nearest km is 29,098.4km
Answer:
We calculate for the circumferences of Earth and moon by using the equation,
C = 2πr
For Earth,
C = 2π(6371 km) = 40030.2 km
For Moon,
C = 2π(1737.5 km) = 10917.0 km
The difference between the two circumferences is 29113.2 km approximately.
What is the answer to each problem? Please hurry :)
I will give Brainlest to whoever answers correctly, thank you.
Answer:
Step-by-step explanation:
Clue #6 is -5/4 (first option)
Clue #7 is 1/8 (second option)
Clue #8 is -7/6 (first option)
Clue #9 is -10/7 (last option)
Clue #10 is 10 (last option)
identify the property of equality which yields step 4
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[tex]Division \: \: \: Property[/tex]
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The correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day
I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out
80 children x 5 days = 400 total lunches.
£100 / 400 lunches = £0.25 per lunch
The cost for one lunch for one student is £0.25
Help me please as soon as possible
2y + 14x - 7x + 9y
Answer:
1, - 2
Step-by-step explanation:
Answer:
7x + 11y
Explanation:
1. Subtract 7x from 14x. 2y + 7x + 9y
2. Add 2y and 9y together. 11y + 7x
Name a line containing point V.
Answer:
Line A
Step-by-step explanation:
AAnswer:
Step-by-step explanation: