Answer:
[tex]sec\ x = \frac{25}{24}[/tex]
Step-by-step explanation:
Given
[tex]sin\ x = -\frac{7}{25}[/tex]
[tex]cot\ x = -\frac{24}{7}[/tex]
Required
Determine sec x
Sec x is calculated as:
[tex]sec\ x = \frac{1}{cos\ x}[/tex]
Multiply by sin x/sin x
[tex]sec\ x = \frac{1}{cos\ x} * \frac{sin\ x}{sin\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \frac{sin\ x}{cos\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \tan\ x[/tex]
[tex]tan\ x = \frac{1}{cot\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \frac{1}{cot\ x}[/tex]
The equation becomes:
[tex]sec\ x = \frac{1}{-7/25} * \frac{1}{-24/7}[/tex]
[tex]sec\ x = \frac{-25}{7} * \frac{-7}{24}[/tex]
[tex]sec\ x = \frac{25}{24}[/tex]
Imagine that you traveled back in time to the Fourth of July, 1999. You are at Stanford Stadium, watching the semifinal of the Women's World Cup soccer match. Mia Hamm, star of the United States team, has just received the ball on a breakaway. She is 60 yards from Brazil's goal. Brazilian star Sissi is the closest opponent to Hamm and is 10 yards behind her. Mia takes off for Brazil's goal and, while dribbling the ball, is able to run at a speed of 6.8 yards per second. Sissi takes off at the same time as Hamm and runs at 8.4 yards per second. (She is able to run faster because she isn't dribbling the soccer ball.) Hamm has decided to shoot at the exact moment that Sissi catches up to her, because at that point it will still be difficult for Sissi to block the shot when she is side by side with Hamm. How far away from the goal will Hamm be when she shoots
Answer:
17.5 yards
Step-by-step explanation:
Speed is the ratio of distance to time. It is given by the formula:
Speed = distance / time
Mia Hamm is running at a speed of 6.8 yards per second. Let us assume that Mia covers a distance (d) during time (t) when Sissi catches up to her. Hence:
6.8 = d / t
t = d / 6.8
Sissi was 10 yards behind Mia Hamm and running at 8.4 yards per second. Therefore:
8.4 = (d + 10) / t
t = (d + 10)/ 8.4
d / 6.8 = (d + 10)/ 8.4
8.4d = 6.8d + 68
1.6d = 68
d = 42.5 yards
Mia had covered 42.5 yards when Sissi catches up with her. Therefore Mia Hamm distance to goal = 60 yards - 42.5 yards = 17.5 yards
Find the measure of exterior 1.
Answer:
90 degrees
Step-by-step explanation:
A.P.E.X
44 and 45 are alternate interior
angles. Find the measure of 25.
{
11565°
43/44
44 = 115°
45 = [?]
45/46
47/48
274
Answer:
115°
Step-by-step explanation:
angles 4 and 5 are alternate angles which means they would be the same amount
Answer:
Solution given:
<5=115°[corresponding angle]
A car traveling at constant speed traveled 161.5 miles in 3 1/2 hours. What was the car's speed.
161.5 miles / 3.5 hrs = 46.143 mph
find the axis symmetry and vertex. f(x)=-1/2x2-x find the domain and range.
Answer:
the easiest way to get these numbers is to graph the function, i use desmos.
Step-by-step explanation:
the axis of symmetry is -1
the vertex is -1, 0.5
the domain is all real numbers
the range is all real numbers that are <= 0.5
Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = B = and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.) A ∪ B
Answer: C = {1, 3, 7}
Step-by-step explanation:
What is the answer i need helppp
48 ÷ 2(9 + 3)
Answer:
288
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
I just did the math
The answer was 288
Larry bought 24 marbles little lost half of his marbles how many did he lose
Answer:
12
Step-by-step explanation:
his he had lost 12 of his marbles then he would only have 12 left to begin with.
to do this we can do the equation:
24/0.5 (the 0.5 is the represent that the 24 marbles had been split into two, a half for each party)
this would then give use our quotient of 12 marble he had lost
write 5^2 ÷ √5 as a single power of 5
The value of the given expression is 5^(3/4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be resolved as shown below,
5² ÷ √5
[tex]= \dfrac{5^2}{\sqrt5}\\\\\\[/tex]
Using the law of exponents, [tex]\sqrt[n]{m} = m^{\frac1n}[/tex],
[tex]= \dfrac{5^2}{5^{\frac12}}\\\\\\[/tex]
Using the law of exponents, [tex]m^x\times m^y = m^{x+y}[/tex],
[tex]= {5^2} \times {5^{-\frac12}}[/tex]
Solving the powers,
[tex]= {5^{2-\frac12}}\\\\= 5^{\frac34}[/tex]
Hence, the value of the given expression is 5^(3/4).
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find the average
sample 1
70
60
50
42.5
41
Answer:
52.7
Step-by-step explanation:
average=add up the number divide by the number of numbers
70+60+50+42.5+41=263.5
263.5/5=52.7
Brain plants trees. He uses 3 parts fertilizer to plant 5 parts to soil to fill the hole around each tree.If Brain uses a total of 80 gallons of fertilizer and soil how much of the 80 gallons is fertilizer?
Answer:
Step-by-step explanation:jj
How many years are in 525,000 minutes? Round to the nearest whole.
(1 hour=60 minutes, 1 day=24 hours, 1 year=365 days)
Answer:
About 1 year
Step-by-step explanation:
Identify the y-intercept (initial value) in the function
f(x)=130.27)^x
.27
3.51
13
.27
HURRY PLS
Answer: 13
Step-by-step explanation:
Why did the 30-60-90 triangle marry the 45-45-90 triangle
Answer: because they were right for each other.
Step-by-step explanation:
The cause due to which the triangles 30-60-90 married the triangle 45-45-90 would be:
They were right for each other.
Sum Property of TriangleThe sum of property of triangle states that the three angles of triangle give the sum of 180°.
Given that,
Two sets of triangles having the measures:
First set = 30°-60°-90°
Second set = 45°-45°-90°
The first set marries the other as they both are right i.e. 90° to one another and give an equal sum of 180°.
Thus, the above answer is correct.
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Whats the value c
Pleaseee help
Step-by-step explanation:
the value of x is 20 that's it good luck
Step-by-step explanation:
6c + c + 10 + c + 10 = 180
8c = 160
c = 20
A board is 6 feet 11 inches long. How long is it in inches
Answer:
83 inches
Step-by-step explanation:
What is the value of n?
I will give brainliest to the first one that does it correctly
Answer:
180-138
=42, is the answer
Write an equation for the trend line shown. Type answer in y = mx + b format.
Answer:
y=1/4x+250
Step-by-step explanation:
Answer:
y = 12.5x + 250
Step-by-step explanation:
(4,300) , (8,350)
m = 350 - 300 / 8 - 4 = 25/2 = 12.5
y - 300 = 12.5(x - 4)
y - 300 = 12.5x - 50
y = 12.5x + 250
How many 1/5’s are in 2
Answer:
10 fifths
Step-by-step explanation:
Answer:
There are 2 halves in a whole. There are 3 thirds in a whole. There are 4 quarters in a whole. There are 5 fifths in a whole.
Step-by-step explanation:
I guess 0.4 times?
Which terms should Paul write in squares M1 and M2?
a a a a a a a aa aaa a a aaaa
Answer: it's 5x and - 4x
equation is 4 x² + x -5
the factors of -20 = - 4 × 5
4 x² + 5x - 4x -5
x ( 4 x +5) -1 ( 4x +5)
(x -1) (4 x +5
Have a awesome day❤️✨Step-by-step explanation: A shopkeeper marks the price of an article
30% above its cost price and gives a customer discount of
15%. A customer bought that article including 13% VAT at
Rs. 1872.975. Find the marked price of the article and the
gain of shopkeeper
Answer:
The gain percent made by shopkeeper is 10.5%.
Step-by-step explanation:
Given:
Price at which goods are marked = 30%
Discount on the marked price = 15%
To Find:
Gain percentage of the shopkeeper
Solution:
Let the cost price of the product be = 100
Therefore,
MP = 30 + 100 = 130
Since discount is 15%. thus -
Discount = 15/100 x 130
= 19.5
Selling price = MP - Discount
SP = 130 - 19.5
= 110.5
Profit = SP - CP
= 110.5 - 100
= 10.5
Calculating the gain%
Gain% = 10.5/100 x 100
= 10.5
Answer: The gain percent made by shopkeeper is 10.5%.
In the figure below,
Answer:
m<GLK = 58°
Step-by-step explanation:
Given:
m<GLH = 2x + 6
m<HLJ = x
Required:
m<GLK
Solution:
First, find the value of x
m<GLH + m<HLJ = 180° => Linear Pair Theorem
Substitute
2x + 6 + x = 180
Add like terms
3x + 6 = 180
3x + 6 - 6 = 180 - 6
3x = 174
3x/3 = 174/3
x = 58
m<HLJ = x = 58°
Thus, m<HLJ and m<GLK are Vertical angles.
Therefore:
m<GLK = m<HLJ (Vertical angles theorem)
m<GLK = 58° (Substitution)
need help geometry question central angles and arcs???pls
Answer:
84.96 G
Step-by-step explanation:
cuz im connected to einstine and im smart like him
Which three lengths CANNOT be the lengths of the sides of a triangle? *
5 points
23m, 17m, 14m
O 11m, 11m, 12m
05m. 7m, 8m
Answer:
0.5m 7m 8m cannot be the lengths of the sides of a triangle.
Which expression has a lesser value than -10? a. 8+ (-12)
b. – 14 – 2 + 8
c. 4-(-12)
d. - 2 +(- 12) + 2
please show work!
Answer:
D
Step-by-step explanation:
Which expression has a lesser value than -10?
a. 8+ (-12)= -4
b. – 14 – 2 + 8= -16+8= -8
c. 4-(-12)= 16
d. - 2 +(- 12) + 2 = -12
Answer:
Step-by-step explanation:
a.
8 +(-12) = 8-12 = -4
-4 > -10
b.
14-2+8 = 12+8 = 20
20 > -10
c.
4-(-12) = 4+12 = 16
16 > -10
d.
-2+(-12)+2 = -2-12+2 = -14+2 = -12
-12 < -10
Jordyn is weighing the ingredients on a kitchen scale to make bread. The bowl weighs 1 12 pounds. He adds several scoops of flour. the total weight of the bowl and the flour is 2 34 pounds. If each cup weighs 516 pound, how many cups of flour does he add?
Answer:
4 POUNDS OF FLOUR
Step-by-step explanation:
The number of cups of flour he added is 4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bowl weight = 1(1/2) pounds
Number of cups of flour weight = x pounds
Now,
Total weight = 2(3/4) pounds
1(1/2) + x = 2(3/4)
x = 11/4 - 3/2
x = (11 - 6)/4
x = 5/4
Now,
Weight of each cup of flour = 5/16 pounds
Now,
The number of cups of flour.
= 5/4 ÷ 5/16
= (5 x 16) / (4 x 5)
= 4
Thus,
The number of cups of flour is 4.
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Can someone help me? I’ll reward points + brainalist
Answer:
Option A is your answer ☺️☺️☺️
An item is regularly priced at $35. It is now priced at a discount of 65% off the regular price.
Answer:
the final price of the item wud be 15.75
Step-by-step explanation:
The last options is 5 cm, I need help
Answer:
it is d.2.5
Step-by-step explanation:
If you see it correctly that NO is perpendiculer/equal toNQ and that means if the half is 2.5 then the other half is also 2.5!
Well, i hope it helps! have a nice day!