Answer:
x = 6.5
Step-by-step explanation:
Since this is a right triangle we can use trig functions
cos theta = adjacent side / hypotenuse
cos 23 = 6/x
x cos 23 / 6
x = 6 /cos 23
x=6.51816
Rounding to the nearest tenth
x = 6.5
-100x – 100 = 0
-100x =
X =
Answer:
-1
Step-by-step explanation:
-100x-100=0
-100x=100
x/-100=100/-100
x=-1
When you are solving for a variable your goal is to get the variable by it seff.
x = -1
- 100x = 100
Step-by-step explanation:
[tex] - 100x - 100 = 0[/tex]
Move the constant to the right side and change the sign
[tex] - 100x = 100[/tex]
Change the sign of both side of the equation
[tex]100x = - 100[/tex]
Divide both side by the same number
[tex]x = - 1[/tex]
[tex] - 100x[/tex]
[tex] - 100 \times - 1[/tex]
Remove the ( - ) sign since negative number are multiplied by even number...
[tex]100 \times 1 \\ 100[/tex]
A motorboat with the current went 72 mi in 4 hours. Against the current, the motorboat could go
only 40 mi in the same amount of time. Find the rate of the motorboat in calm water.
Answer:
14 mph
Step-by-step explanation:
Speed of boat in calm water = x
Speed of current = y
Speed of boat with the current = 72 mi / 4 hr = 18 mph
Speed of boat against current = 40 mi / 4 hr = 10 mph
x + y = 18
x - y = 10
2x = 28
x = 14
Answer: 14 mph
Answer:
14 m/hr
Step-by-step explanation:
72 m / 4 hr = 18 m/hr
40 m / 4 hr = 10 m/hr
still water speed = (18+ 10 )/2 = 14 m/hr
current speed (14 -x) 4 = 40
x = current speed = 4 m/hr
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 310 miles on 10 gallons of gas. How far could you drive on 70 gallons of gas? What is the car’s gas mileage?
Answer:
i) Gas mileage = 31 miles
ii) 2170 miles = 70 gallons
Step-by-step explanation (i):310 miles on 10 gallons of gas.
⇒ 310 miles = 10 gallons
⇒ 310/10 miles = 10/10 gallons
⇒ 31 miles = 1 gallon
Gas mileage = 31 miles
Step-by-step explanation (ii):⇒ 31 miles = 1 gallon
⇒ 31 x 70 miles = 1 x 70 gallon
⇒ 2170 miles = 70 gallons
There are two parts to this question.
part 1: Solve for x
part 2: what is the length of AB
AB = BD is given. Therefore,
7x + 10 = 9x-2
10 + 2 = 9x - 7x
12 = 2x
x = 2
Now, Put the value of x in value of AB
AB = 7x + 10
AB = 7 × 2 + 10
AB = 14 + 10
AB = 24
What number is one thousand less than one million?
Answer:
999,000
Step-by-step explanation:
We need to find the number that is one thousand (1,000) less than one million (1,000,000).
less than clearly refers to subtractionSo, we have to subtract 1,000 from 1,000,0001,000,000 - 1,000999,000Answer:
999000
Step-by-step explanation:
1 million - 1000 or 1 million less is 100,000
Pedro was working on a report on swiss and austrian psychiatrists. he decided to find a 90 percent confidence interval for the difference in mean age at the time of significant psychiatric discoveries for swiss versus austrian psychiatrists. he found the ages at the time of psychological discovery of all the members of both groups and found the 90 percent confidence interval based on a t-distribution using a calculator. the procedure he used is not appropriate in this context because
a
the sample sizes for the two groups are not equal.
b
the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
c
age at the time of psychological discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
d
age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
e
age at the time of psychological discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid
Answer:
B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
Step-by-step explanation:
Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.
Therefore, option D is the correct answer.
To learn more about the confidence interval visit:
https://brainly.com/question/14041846.
#SPJ2
really need help with this math makeup work pleasee
Answer:
A and D would be congruent
Step-by-step explanation:
COngruent angles are angles with the same measurements (same size angles).
Answer:
First Image: ∠G ≅ ∠B, ∠E ≅ ∠D Second Image: ∠1 = 140 ∠2 = 40
Step-by-step explanation:
∠G ≅ ∠B by Alternate exterior angles, ∠E ≅ ∠D by Alternate interior angles ∠1 = 140 by alternate exterior angles and ∠2 = 40 by supplementary angles 180 - 140 = 40
i dont know what to do for tis
Answer:
is this by any chance about simultaneous equations? If so,
Step-by-step explanation:
Step 1 is telling us to decide on whether x and y should be the unknown. For instance, you want x to be the unknown, so u solve for x.
Step 2 is telling us to write equations with x and y.
For example,
7x + 5y = 12
7x - 2y = 9
This may not be accurate but it is an equation.
Step 4 is telling us to check whether the solution is accurate or not. For instance, we say 7 is x. so we substitude 7 into the original equation to see whether the answer we found is correct.
For step 5, im not really sure.
hope this helps though???
Convert 5 yards 2 feet to inches. 5 yd 2 ft = ______ in. *
Answer:
204 inches
Step-by-step explanation:
First, change the 5yd2ft to be just feet.
1 yard = 3 feet
5 yd × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
Next, change to inches.
1 ft = 12 inches
17ft × 12in/ft = 204 in
5 yds 2 ft = 204 in
Answer:
204 inch-
Step-by-step explanation:
1: change the 5yard 2ft to be just feet.
1 yrd = 3 feet
5 yrds × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
2: change to inches.
1 ft = 12 inch
17ft × 12in/ft = 204 in
5 yards 2 ft = 204 in
~Jax~
A party tent is used for an outdoor event. Ropes of equal length
support each tent pole. The angle the rope makes with the floor is
55
What is the height of each pole?
28 ft
Enter your answer in the box. Round only your final answer to the
nearest tenth
Answer:
22.9
Step-by-step explanation:
Using the sin formula you can figure out the far side of the pole. Since one would be 28, the hyponetuse, and the angle is 55 degrees you should do sin 55 = x/28.
8) What is the volume of the triangular prism?
A) 15 mm
B) 18 mm
C) 24 mm
D) 30 mm
D) 30 mm
should be it!! GL:)
what is 2x2x32 to the 2 power
Answer:
16384
Step-by-step explanation:
Here is how you do it : (2*2*32)^(2)
What value of x makes this equation true?
5x+3=2x-3
Answer:
-2
Step-by-step explanation:
[tex]5x+3 = 2x -3 \\\\\implies 5x -2x = -3 -3\\\\\implies 3x = -6\\\\\implies x = -\dfrac 63 =-2[/tex]
Let's solve this equation.
Step 1
Move the numbers to the right:-
5x=2x-3-3
Step 2
Move the x's to the left
5x-2x=-3-3
Notice I use the opposite operation :)
Step 3
Combine like terms
3x=-6x
Step 4
Divide both sides by 3
x=-2
That's the value of x that makes the equation true.
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
1/2
Cameron made :
[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]
[tex]\sf \hookrightarrow 64 \ cookies[/tex]
Lindsey made :
16 cookiesTogether:
16 + 64 = 80 cookiesLeft to make:
(160-80)/1601/2Total made:-
16+2/5(160)16+2(32)16+6480cookiesCookies left:-
160-80=80Fraction:-
80/1601/2How do you use double angles to simplify equations? Please provide an example.
Answer:
provide an equation
ill let you know
Solve for x to the nearest tenth.
BRANLIEST AND 45 POINTS!!
Check the picture below.
Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta. And his brother 1/6 of the pot. How much of the pot is left over?
Answer:
9/12 or 3/4
Step-by-step explanation:
1/6 = 2/12
2/12 + 1/12 = 3/12
12/12 - 3/12 = 9/12
9/12 simplified is 3/4
is f=9/5c+32 a linear function
Answer:
"a linear function has the form y = mx + b. "
Jhon made 9 1/2 cups of pasta how many 1/2 cup servings did he make
Answer:
19 servings
Step-by-step explanation:
9 1/2 / 1/2 = 19
19
Step-by-step explanation:
one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19
Mason has a map of Alabama that measures 3/4 meter wide and 7/8 meter long . What is the area in square meters of mason map
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Length(l) of map = [tex]\sf\red{\frac{7}{8}m.}[/tex]
[tex]\rightarrow[/tex] Width(w) of map = [tex]\sf\red{\frac{3}{4}m.}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
[tex]\rightarrow[/tex] Area of map.
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] From the above given dimensions we can conclude that map is in the shape of rectangle. So, we can find the area of map by using the formula: [tex]\sf\blue{Length×Width}[/tex]
So, let's begin
[tex]\rightarrow[/tex] Area of rectangular map = [tex]\sf{Length×Width}[/tex](putting the value of length and width from the above given)
[tex]\rightarrow[/tex][tex]\sf{=\:\frac{7}{8}×\frac{3}{4}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:\frac{21}{32}m^2}[/tex] Or,
[tex]\rightarrow[/tex][tex]\sf{=\: 0.65m^2}[/tex]
Therefore the area of the Mason map [tex]\sf\purple{=\: 0.65m^2}[/tex]or [tex]\sf\purple{\frac{21}{32}m^2}[/tex]
________________________________
Hope it helps you:)
Does anyone know what type of angle this is?
Answer:
SUPPLEMENTARY ANGLES
(ADJACENT ANGLES).
Step-by-step explanation:
< 4 and < 6 are on a straight line - adjacent angles and m < 4 + m < = 180 degrees. So they are supplementary angles also.
Giving Brainliest again!
(It's very easy)
Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
What is the square root of –16?
–8i
–4i
4i
8i
Answer number 9 please.
Answer:
165 cm³
Step-by-step explanation:
330 cm³ × 1/2 = 165 cm³
Do you understand this please give examples l really don’t understand.
Answer:
so to get primited you add the sides and since you are given the perrimited and one of the sides you are to figure out the outer side
so if the perrimiter its 38 and one side is 10 then the other side is 28 because 38-10 its 28
Step-by-step explanation:
WILL GIVE BRAINLIEST
A student was calculating the residuals of a linear regression equation. The largest residual value found was between 0.90 and 1. What could be said about the data?
Answer:there is a very strong corolation
Step-by-step explanation:
Can someone please help me?
Answer:
152 ft²
Step-by-step explanation:
First, we can work out the area of the triangles using the formula 1/2 × base × height. 1/2 × 6 × 4 = 12 ft². This is the area of one triangle so we can multiply this by 2 to get the area of both triangles - 24ft².
Next, we can work out the area of the rectangular sides by multiplying the length and width together. 8 × 5 = 40ft². Again, this is the area of one rectangle so we can multiply this by 2 to get the area of both rectangles - 80ft².
Then, we can work out the area of the base by multiplying the length and width together. 8 × 6 = 48ft².
Finally, we can add all the areas together to find the total surface area of the tent. 24 + 80 + 48 = 152 ft².
Hope this helps!
please please help me
Answer:
D. 102.6 in²
Step-by-step explanation:
The area of the square is 9 in² (3 × 3 = 9)
The area of the rectangle is 30 in² (3 × 10 = 30)
The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)
Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.
Hope this helps!
Answer:
Option D
Step-by-step explanation:
Square:
side = 3 in
[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]
= 3*3
= 9 square inches
Rectangle:
length = 10 in
width = 3 in
[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]
= 10 *3
= 30 inches
Circle:
diameter = 9 in
radius = 9 ÷ 2 = 4.5 in
[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]
= 3.14 * 4.5 *4.5
= 63.6 square inches
Total area = area of square + area of rectangle + area of circle
= 9 + 30 + 63.6
= 102.6 square inches
What is −1/8÷7/24?
Enter your answer in the box as a fraction in simplest form.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
An=A(n-1)-4 where A=7
Step-by-step explanation: