Answer:
x = 120°
Step-by-step explanation:
We are given;
sec²x + 4secx = -4
Rearranging gives;
sec²x + 4secx + 4 = 0
Factorizing the left hand side gives;
(sec x + 2)(sec x + 2) = 0
This means that;
(sec x + 2) = 0
From trigonometry, we know that sec x = 1/cos x
Thus;
(1/cos x) + 2 = 0
1/cos x = -2
cos x = -1/2
cos x = -0.5
x = cos^(-1) -0.5
x = 120°
PLS HELP ME IM STUCK ON THIS QUESTION
Answer:
ASA
Step-by-step explanation:
If h(x) = 3x + 4, what is h(2x - 3)?
Answer:
6x-5
Step-by-step explanation:
3(2x-3)+4
6x-9+4
6x-5
Answer is 6x-5
the reciprocal of 7/11 is
Answer:
11/7, you just turn or flip the fraction.
Step-by-step explanation:
Alfred has 10 more tokens than Clarissa. Clarissa has twice as many tokens as Benji. They have 85 tokens altogether. How many tokens does each person have.
Answer:
Alfred has 40 tokens
Clarissa has 30 tokens
Benji has 15 tokens
Step-by-step explanation:
Let's give each person a variable:
A for Alfred
C for Clarissa
B for Benji
Now, we can take what the question is saying and convert them into equations:
Alfred has 10 more tokens than Clarissa can look like this:
A = C + 10
Since Alfred has 10 more coins than Clarissa we can take C and add 10 to find how many tokens Alfred has.
Clarissa has twice as many tokens as Benji looks like this:
C = 2B
Since Clarissa has twice as many tokens as Benji we can multiply B (how many tokens Benji has) by 2.
Lastly, they have 85 tokens all together:
A + B + C = 85
We have these 3 equations:
A = C + 10
C = 2B
A + B + C = 85
Now, we can substitute some variables:
A = (2B) + 10 Since C is equal to 2B we can substitute 2B in for C in the first equation.
We have found what A equals, we can plug that in to the last equation:
(2B) + 10 + B + C = 85
We can also substitute the second equation into the third equation:
(2B) + 10 + B + 2B = 85
Combine like terms:
5B + 10 = 85
Solve
5B = 75
B = 15
This means that Benji has 15 tokens. Now we can find how much the other children have:
C = 2(15) = 30
Clarissa has 30 tokens
A = 30 + 10
A = 40
Alfred has 40 tokens.
Answer:
Alfred has 40 tokens
Clarissa has 30 tokens
Benji has 15 tokens
Checking the Answer
A + B + C = 85
40 + 15 + 30 = 85
85 = 85
I hope this helps!!
- Kay :)
To travel to school, Gavin must walk to the bus stop. The bus trip covers
four times the distance that he walks. He then needs to walk 500 m to
school. If the school is 10 km away from Gavin's home, how far does he
walk to the bus stop?
Answer:
2,375 m
Step-by-step explanation:
The computation of the distance from his walk to the bus stop is given below:
Let us assume he walks be x
So the bus trip be 4x
4x + 500m
From Home to school, it would be 10km
As we know
1km = 1000m
So for 10km it would be = 10,000 m
4x + 500 m = 10,000 m
4x = 10,000 m - 500 m
4x = 9,500 m
x = 2,375 m
What are the factor pairs of 81.
Answer:
9 × -9 = 81, (-9, -9) is a pair factor of 81.
Step-by-step explanation:
Please help:
What are the solutions to the system of equations?
x^2 + y^2 = 5
y = 2x
The solution with the smaller x value is (?)
The solution with the larger x value is (?)
Answer:
(- 1, - 2 ) and (1, 2 )
Step-by-step explanation:
Given the 2 equations
x² + y² = 5 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
x² + (2x)² = 5
x² + 4x² = 5
5x² = 5 ( divide both sides by 5 )
x² = 1 ( take the square root of both sides )
x = ± [tex]\sqrt{1}[/tex] = ± 1
Substitute these values into (2) for corresponding values of y
x = - 1 : y = 2(- 1) = - 2 ⇒ (- 1, - 2 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
The solution with smaller x- value is (- 1, - 2 )
The solution with the larger x value is (1, 2 )
It is important for engineers design and building so understanding the relationship between the height and volume of the building. A taller building if not billed correctly is more likely to collapse, because a small increase in height leads to a large increase in volume. an engineer builds to build a models of different sizes in the shape of square blocks . the smaller building has a height of 1m, and volume of 1m^3. The volume of the larger building is 125m^3. The height of the building, represented by X, is equal to the cube root of the buildings volume. The equation below can be used to find X, in meters. X^3=volume determine how much taller, in meters, the height of the larger building is then the smaller building.Mm
Answer:
Larger building is 4 meters taller than smaller building.
Step-by-step explanation:
Formula to get the height 'x' of a building having volume = x³ is,
x = [tex]\sqrt[3]{\text{Volume of the building}}[/tex]
Height of the smaller building,
[tex]x_1=\sqrt[3]{1}[/tex]
[tex]x_1=1[/tex]
Similarly, height of the larger building = [tex]\sqrt[3]{125}[/tex]
= [tex]\sqrt[3]{5^3}[/tex]
= 5 meters
Difference in the heights of the buildings = 5 - 1
= 4 meters
Therefore, difference is the height of larger and smaller building is 4 meters.
Hi can someone please help me with this?
Daniel expanded the expression as shown.
-2(-8x-4y+3/4)=10x-8y-1 1/4
Answer:
-2(-8x-4y+3/4)= 16x + 8y - [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
Step1:
Multiply the parenteses by -2
= -2 × (-8x) -2 × (-4y) -2 × [tex]\frac{11}{4}[/tex]
Step2:
Calculate and reduce
= 16x + 8y - [tex]\frac{11}{2}[/tex]
Answer:
The right answer is
Step-by-step explanation:
Click To Open!
I'm just try to make yall happy with no answer lol have a good day
4 cm
5 cm
7 cm
10 cm
Work out the perimeter of this shape.
Answer:
34 centimeters
Step-by-step explanation:
Hope this helps! ;)
Answer: 34
Step-by-step explanation:
10+7+5+4+6+2= 34
Please help me with this!
Answer:
-6
Step-by-step explanation:
Hope you are having a good day !!
I don't know if I can help much since i'm only in 7th grades as of Feb 2021, but if you are in my grade or lower I could probably help ! <3
Answer:
ok
Step-by-step explanation:
All of the following fractions are equal to
2
except:
9
18
20
40
оооо
NEXT QUESTION
ASK FOR HELP
Answer:
Except 4 out of 6
the answer is the third one
can someone pls pls find the value for (-14/9) x 3/5 x (-4/7) x 15/16
Need help with this.......
Answer:
The length of the hypotenuse = 14 square + 10 square
The length of the hypotenuse =14×14 + 10×10
=296ft
Use Pascal's Triangle to help find the missing values. x^4-4x^b+6x^2-ax+1
a=
b=
Answer:
The value of a = 4 , b = 3
Step-by-step explanation:
Given the equation,
x⁴ - 4[tex]x^{b}[/tex] + 6x² - ax + 1
so, the coefficients are - 1 4 6 a 1
the Pascal's triangle is as follows :
1
1 2
1 2 1
1 3 3 1
1 4 6 4 1
So,
from Pascal's triangle ,
we can see that , after comparing with given equation , we get
Row n = 4
The coefficient be 1 4 6 4 1
∴ we get
a = 4
and
(x+y)⁴ = x⁴ + 4x³y + 6x²y² + 4xy³ + y⁴
Now, as given equation be x⁴ - 4[tex]x^{b}[/tex] + 6x² - ax + 1
By comparing we get y = -1 and b = 3
So, we get
a = 4 , b = 3
Charlotte is at a baseball game in the upper deck of the stadium. She is 200
200
feet away from home plate. If the angle of depression to the field is 38°
38
°
, at what height above the field is Charlotte sitting?
Answer:
123.1323
Step-by-step explanation:
A ball is thrown straight up from the top of 128 foot building with an initial speed of 32 feet per second. How long will it take for the ball the hit the ground? How high will the ball be after 3 seconds?
5x – 2x = 12
How do I solve
Answer:
4
Step-by-step explanation:
Replace X with 4
(5*4)-(2*4) = 12
Answer:
x =4
Step-by-step explanation:
5x - 2x =12 (Subtract 5x - 2x and you'll get 3x)
3x = 12 (Now divide by 3 from both sides to get x)
x = 12/3 (Now that you got x, you want to simplify)
x = 4 (12 divided by 3 is 4)
Pls Help!! I'll Give BRANLISTT DUE SOOn
Answer:
whats the question? ill answer in comments
Step-by-step explanation:
(y - 3)-3/2+(y-3)-1/2=0
Answer:
y=4
Step-by-step explanation:
help me with this multiple choice !
Answer:
60 30 special triangle
answer is b
Answer:
B
Step-by-step explanation:
Which system of inequalities has no solution?
Answer:
i think c
Step-by-step explanation:
-7x2+1 need help plz
Answer:
-7 × 2 + 1 =
-13
Step-by-step explanation: I hope it helps.
How many triangles, if any, can be drawn with side lengths of 4 cm, 7 cm, and 15 cm?
Answer:
none
Step-by-step explanation:
the two shortest lengths combined have to be longer than the longest length
4+7=11
11<15
the 4 cm side and the 7 cm side wouldn't touch
In a coffee shop, the average drink is currently $4.50 while the average pastry is $2.25. You've made a total of $5,250 today. Write an equation to model the breakdown of your sales between drinks and pastries.
Answer:
[tex]4.50x+2.25y=5,250[/tex] where [tex]x[/tex] denotes number of drinks and [tex]y[/tex] denotes number of pastries.
Step-by-step explanation:
Let [tex]x[/tex] denotes number of drinks and [tex]y[/tex] denotes number of pastries.
Cost of the average drink = $4.50
Cost of the average pastry = $2.25
Total amount = $5,250
Therefore,
[tex]4.50x+2.25y=5,250[/tex]
Help please it finding the area of a composite figure
What are the domain and range of the function f(x)=square root x-7 +9?
Answer:
Domain is all real numbers greater than or equal to 7. Range is all real numbers greater than or equal to 9.
Step-by-step explanation:
The domain is possible x-values while the range is possible y-values. This question look like
[tex] \sqrt{x - 7} + 9[/tex]
The domain of square root function cant have a the radical inside being a negative number because we can't take the sqr root of a negative number and graph it on a cartisean plane We can take the sqr root of 0 . So we set x-7=0. And which x=7 so the domain is all real numbers that are equal to or greater than 7. The range of a sqr root function can only yield any positive y-values. So we must find the lowest point of it. Since the lowest x value we can possible use is 7 we plug it in
[tex] \sqrt{7- 7} + 9[/tex]
which equals 9. So the range is all real numbers greater than or equal to 9.
Answer:
I think that the short answer will be C) on edge.
Step-by-step explanation:
Edge 2021.
Brian's monthly gross income is $2,950. He pays 22% of his monthly gross
earnings in federal and state taxes and spends 10% of that monthly income to
pay off his credit card debt. Brian is also paying off a loan his parents gave him
for a new car by sending them 8% of his income per month. Brian found an
apartment near his work that rents for $1,300 per month. Will he be able to make
the payments without changing the amounts he pays towards his loan and credit
card debt?
Answer:
Yes
Step-by-step explanation:
I = 2950
T = 22% x 2950 = 649
CC = 10% x 2950 = 295
NC = 8% x 2950 = 256
R = 1300
I - (T + CC + NC + R) > 0
2950 - ( 649+ 295 + 256 + 1300) > 0
2950 - 2500 >= 0
450 > 0