Answers
Given:
UT = 31.5
To find:
The measure of US.
Solution:
In the figure, WV bisects UT.
⇒ US = ST -------------- (1)
UT = US + ST
31.6 = US + US (using (1))
31.6 = 2 US
Divide by 2 on both sides.
[tex]$\frac{31.6}{2} =\frac{2US}{2}[/tex]
[tex]15.8=US[/tex]
The measure of US is 15.8.
Related Questions
8. The perimeter of Brianna's rectangular garden is 100 feet. The length of the garden is 1.5 times longer than
the width.
Answers
Answer:
Step-by-step explanation:
The perimeter of Brianna's rectangle garden is 100 feet. The length of the garden is 1.5 longer than the width
1. - 4 = 7(1-n) =
2. -5x + 3(6 + 7x)
3.- 2b - (9 - 105) =
4. 10+ 5(9x - 9) =
5.-9(6x - 3) + 6(1 +4x) =
6.-10(2 - 9x) + 6(x - 10) =
7. 5(-2n+4) + 2(n + 3) =
8. - 7(n+3) - 8(3 +8n) =
Answers
Hope this will help u...
Help me with this please so I can finish this class and move on to the others
Answers
Answer:
20x
Step-by-step explanation:
1 do the work 2 dont ask brianly
Answer:C
Step-by-step explanation: 42 is bigger than 40 but I’m really not sure
100 points!!!!!!!!!!!!!!!!!!!!What should the numerator of the second fraction be so that the fractions are equivalent?
[tex]\frac{2}{3} =\frac{?}{14}[/tex] =
Answers
Answer:
28/3 or 9⅓
Step-by-step explanation:
2/3 = x/14
x = 2×14/3
x = 28/3
Answer:
28/3 =x
Step-by-step explanation:
2/3 = x/14
We can solve using cross products
2*14 = 3x
28 = 3x
Divide each side by 3
28/3 = 3x/3
28/3 =x
Max Steel drives his 1969 Mustang 15 miles per hour. If there are 5280 feet in one mile and 60 seconds in one minute, how many feet can he go per second?
Answers
Answer:
22 feet per second
Step-by-step explanation
15x5280=79,200
79,200/60=1320 feet per minute since 60 minutes per hour
1320/60=22 feet per second since 60 seconds per minute
Max Steel's Mustang can go upto 22 feet per second.
First, convert miles per hour to feet per hour. Since there are 5280 feet in a mile, multiply the speed in miles by the number of feet in a mile:
Step 1: 15 miles/hour x 5280 feet/mile = 79200 feet/hour
Step 2:Next, convert feet per hour to feet per minute. Since there are 60 minutes in an hour, divide by 60:
79200 feet/hour ÷ 60 = 1320 feet/minute
Step 3: Finally, convert feet per minute to feet per second. Since there are 60 seconds in a minute, divide by 60:
1320 feet/minute ÷ 60 = 22 feet/second
Therefore, Max Steel can go 22 feet per second.
What are the foci of the hyperbola whose equation is (x-6)^2/16-(y+7)^2/9= 1?
Answers
The foci of the hyperbola is (0,3) and (0,-3).
Step-by-step explanation:
Given,
The equation of the hyperbola: [tex]\frac{(x-6)^{2} }{16} -\frac{(y+7)^{2} }{9} =1[/tex]
To find the foci of the given parabola
Formula
If the equation of the hyperbola: [tex]\frac{(x-h)^{2} }{a^{2} } -\frac{(y-k)^{2} }{b^{2} } =1[/tex]
The focus will be (0,±c) where c² = a²+b²
Now,
Here, a=3 and b=4
c² = 3²+4² = 25
or, c = ±5
Hence,
The foci of the hyperbola is (0,3) and (0,-3)
Answer:
(1, -7) and (11, -7)
or A on edge
Step-by-step explanation:
took the quiz
Three divide by one fourth
Answers
Answer:
3 divided by 1/4 will be 1/3 * 1/4 which should give you 1/7.
Answer:
3 divided by one forth is 2.142
Step-by-step explanation:
One more than three-eighths of a number is eleven. Just write out equation do not solve please
Answers
Answer:
Let's just call the number x. 3/8ths of x and 1 more equals 11.
As an equation, this basically means
[tex]\frac{3}{8} x+1=11[/tex]
The equation derived from the given statement "One more than three-eighths of a number is eleven" is 3/8 * X + 1 = 11.
Explanation:In mathematics, especially in algebra, we often have to deal with problems where a certain relationship is given between a number and its fraction, and the task is to find the number. In the problem you presented, "One more than three-eighths of a number is eleven", we are required to express this problem as an equation.
The three-eighths of a number can be represented as 3/8 * X (where X is the unknown number we're seeking), and 'one more than' simply means we're adding 1 to this fraction. The given relationship states that this result is eleven.
So, the equation can be written as: 3/8 * X + 1 = 11.
Learn more about Equation Formation here:https://brainly.com/question/30167556
#SPJ3
Steve will roll a number cube, numbered 1-6, twice. What is the probability
of rolling a number > 3, then rolling a prime number? Simplify your answer!
Answers
Answer:
25%
Step-by-step explanation:
First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.
The probability of each number is 1/6, so:
P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2
Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.
As we have again 3 numbers, the probability P2 will also be 1/2
Then, the final probability is the product of both P1 and P2:
P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%
Increase £2193.67 by 8.5%
Give your answer roIncrease £2193.67 by 8.5%
Give your answer rounded to 2 DP
Answers
Answer:
£2380.23
Step-by-step explanation:
The increase will be 8.5% of £2193.76 added to £2193.76
That’s
8.5% of £2193.76
8.5% /100% x £2193.76
0.085 x £2193.76
£186.47
Increase = £2193.76 + £186.47
= £2380.23
An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 6 feet long and has a base with a circumference of 28.260 feet, what is the volume of the sculpture? Use 3.14 for piπ HELP Me PLZ :(
Answers
Answer: The volume of the sculpture is 64.11 ft3
Hope this helps :)
Answer:
125.8983 ft^3
Step-by-step explanation:
Circumference of the circle is 28.260
Formula for the circumference of a circle is 2Πr
2*3.14 is 6.28
28.26/6.28=4.5
r is 4.5
Formula for the volume of a cone is 1/3*pi*r^2*h
1/3*3.14*4.5^2*6 = 125.8983
Which pair of numbers is equivalent? A. 110 and 10% B. 14 and 14% C. 29 and 29% D. 57 and 57%
Answers
Answer:
A
Step-by-step explanation:
Answer:
A. 1/10 and 10%
Step-by-step explanation:
Pumpkins are being sold for $1.30 at the local farmers market. How much would a pumpkin be weighing 6lb 9oz
Answers
Answer:
$8.53
Step-by-step explanation:
The first thing you do is convert the oz into pounds. There is 16 oz in a pound so our fraction is 9/16 which is 0.5625 . Then adding to the pounds it becomes 6.5625 pounds. Then multiply by 1.3.
Find the area of the square in inches and enter your answer below. Do not
include units in your answer.
Answers
Given:
Side length of square = 2 in
To find:
The area of the square
Solution:
Area of the square:
Area = side × side
= 2 in × 2 in
Area = 4 in²
Therefore, the area of the square is 4 inches².
How do you multiply a decimal greater than 0 and a fraction less than 0
Answers
Answer:
Originally Answered: How do you multiply a decimal greater than 0 and a fraction less than 0? Simply multiply the decimal with the numerand (top of the fraction) and divide by the denominator ( bottom of fraction). Since one is positive ( greater than 0) and the other is negative the answer will always be negative.
Step-by-step explanation:
A fraction simply tells us how many parts of a whole we have.
To multiply a decimal greater than 0 and a fraction less than 0 . first convert decimal into fraction.
Then, multiply numerator with numerator and denominator with denominator of both fraction.
For example,
[tex]0.5 * (-\frac{1}{2})\\\\\frac{1}{2} *(-\frac{1}{2} )\\\\-\frac{1}{4}[/tex]
Learn more:
https://brainly.com/question/1369626
the discriminant of x2 + 6x + 9 = 0
Answers
Answer:
D = 0
Step-by-step explanation:
D = b^2 - 4ac =
= 6^2 - (4*1*9) =
= 36 - 36 = 0
Final answer:
The discriminant of the quadratic equation x² + 6x + 9 = 0 is 0, which means there is one real root, and the graph of the equation is tangent to the x-axis at one point.
Explanation:
The discriminant of a quadratic equation is the part of the formula b² - 4ac that determines the nature of the roots of the equation. For the quadratic equation x² + 6x + 9 = 0, we can identify a = 1, b = 6, and c = 9. Using the discriminant formula, we get:
• Discriminant, D = b² - 4ac
• D = (6)² - 4(1)(9)
• D = 36 - 36
• D = 0
Since the discriminant is zero, it indicates that the quadratic equation has one real root, and the graph of the equation touches the x-axis at one point (the vertex of the parabola).
MATH EASY POINTS: the volume of water y (in cubic meters) that flows over niagara falls during peak daytime tourist hours in x minutes can be approximated by the equation y=168,000x. Approximately how many cubic meters of water flow over the falls in one hour
Answers
Answer:
10,080,000 cubic meters is the answer.
Step-by-step explanation:
For every minute (x), 168,000 cubic meters (y) of water are added. 1 hour has 60 minutes, so 60 x 168,000. That gives 10,080,000.
Find the area of a circle with a circumference of 50.24units
Answers
Answer:
A is approximately 200.86 square units.
Step-by-step explanation:
QUESTION
Learning Page
An amount of $49,000 is borrowed for 11 years at 6.5% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
plz help
Answers
Answer:
$97,958.42
Step-by-step explanation:
To solve this problem we can use the compound interest formula which is shown below:
[tex]A=P(1+r )^{t}[/tex]
P = initial balance
r = interest rate
t = time
First change 6.5% to its decimal form:
6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065
Next plug in the values:
[tex]A=49,000(1+.065)^{11}[/tex]
[tex]A=97,958.42[/tex]
They have to pay back $97,958.42
If the center of the circle were moved from the origin to the
point (h, k) and point P at (x, y) remains on the edge of the
circle, which could represent the equation of the new
circle?
O (h + x)2 + (k + y)2 = 22
0 (x – n)2 + (y – k)2 = p2
O (k + x)2 + (h + y)2 = 22
0 (x – k)2 + (y – 5)2 = 12
Answers
Answer:(x-h)^2+(y-k)^2=r^2
Step-by-step explanation:
I just answered it and it’s correct
The equation of the new circle will be,
⇒ (x - h)² + (y - k)² = r².
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Now, If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle.
Then, Equation of the new circle,
(x - h)² + (y - k)² = r²
Where center = (h, k)
radius = r
Hence, the equation of the new circle will be,
⇒ (x - h)² + (y - k)² = r².
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ7
Daniel bought a computer and paid $50.94 in
sales tax. The sales tax was 11% of the
purchase price. What was the cost of the
computer before tax?
Answers
Answer:
Daniel bought a computer and paid $50.94 in sales tax. The sales tax was 11% of the purchase price. What was the cost of the computer before tax?
11/100 x 50.94= $5.60
Tax= $5.60
Cost of the computer before tax= $50.94- $5.60
Cost of computer= $45.34 before tax
Step-by-step explanation:
Please help asap please i will mark branlist
Answers
Answer:
B. (-3,3)
Step-by-step explanation:
We want to know the solution to the equations, which just means where the two lines intersect.
If we just count the spaces, we can see that they touch at (-3,3). Remember that coordinates are (x,y), so we go left 3 (-3,3) and up 3 (-3,3).
Answer: the answer to this question is B
Step-by-step explanation:
In a Calculus class, there are 11 freshman and 15 sophomores; 5 of the sophomores are females,
and 8 of the freshman are males. If a student is selected at random, what is the probability of
selecting a freshman or a female? P(Freshman or Female)=
Answers
Using it's concept, it is found that there is a 0.6154 = 61.54% probability of selecting a freshman or a female.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 26 students. Of those, the desired outcomes are composed by the 11 freshmen students plus the 5 sophomore females, hence:
p = 16/26 = 0.6154.
0.6154 = 61.54% probability of selecting a freshman or a female.
More can be learned about probabilities at https://brainly.com/question/14398287
Final answer:
To find the probability of selecting a freshman or a female from the calculus class, we calculate the combined unique count of freshmen and females and divide by the total number of students, resulting in a probability of approximately 69.23%.
Explanation:
The question asks for the probability of selecting a freshman or a female student from a calculus class with a total of 11 freshmen and 15 sophomores, where 5 of the sophomores are females and 8 of the freshmen are males. First, let's identify the totals: there are 26 students in total (11 freshmen + 15 sophomores). To find the number of freshmen or females, we consider that there are 3 freshmen females (11 freshmen - 8 males) and 10 sophomore females in total (5 sophomores who are female plus 5 presumed male due to the lack of additional gender data).
So, the number of unique freshmen or female counts is: the 11 freshmen (regardless of gender) plus the 10 females not counted among freshmen (5 sophomores who are females plus an assumed 5 other females given the data isn't explicit about these being the same or different students), minus the 3 freshmen females who are already counted in the freshman group. This gives a total of 18 unique freshmen or females. Therefore, the probability of selecting a freshman or a female is [tex]\(\frac{18}{26}\)[/tex], which simplifies to [tex]\(\frac{9}{13}\)[/tex] or approximately 69.23%.
3 children share 6 crayons equally
How many pencils will each child get?
Answers
Answer:
2
Step-by-step explanation:
=6/3
=2
Answer: 2crayons
Step-by-step explanation:
3 children share 6crayons equally
Looking at this
We have 3 children
We have 6crayons
How many does each one of them get
Let the each child's crayon represent p
I child to p crayon
3children to 6crayon
Cross multiply
1 ----- p
3 -----6
So we have
6×1=3×p
6=3p
P=6/3
P=2
So 1 child is entitle to 2crayons
Therefore, each child has 2crayons to themselves.
Is -11 rational or irrational?
Answers
Answer:
rational
Step-by-step explanation:
I hope this helps!
Use the distributive property to write an expression that is equivalent to each given property.
-3(2x-4)
0.1(-90+50a)
-7(-x-9)
4/5(10y-x+-15)
Answers
Answer:
-6x+12
-9+5a
7x+63
8y-4/5x-12
Step-by-step explanation:
To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.
-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.
-6x+12
Do this for each problem.
0.1(-90)+0.1(50a)
-9+5a
-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.
7x+63
4/5(10y)+4/5(-x)+4/5(-15)
8y-4/5x-12
find the volume of the cylinder. round your answer to the nearest tenth.
Answers
Answer:
1526.8 cubic feet.
Step-by-step explanation:
Volume for finding any shape is V= Bh where b is the area of he base multiplied by the height of the shape. Find the area of the circle, which is pi times the radius squared 9 times 9 is 81. Multiply 81 by pi or 3.14159265 is 254. 4690047. Then, multiply that number 6 which is the height of your shape, and you get 1526.814028. Rounded to the nearest tenth is 1526. 8 cubic feet. Hope this helps!
The Volume of Cylinder is 1,526.04 ft².
What is Volume?Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.
As, the Volume of Cylinder = πr²h where r is the radius and h is the height.
Given:
Radius of cylinder = 9 feet
Height of cylinder = 6 feet
So, Volume of Cylinder
= πr²h
= 3.14 x 9 x 9 x 6
= 3.14 x 81 x 6
= 1,526.04 ft²
Thus, the volume is 1,526.04 ft².
Learn more about Volume here:
https://brainly.com/question/13338592
#SPJ2
I’m not sure about this can anyone help I mark brilliant
Answers
Answer:
C
Step-by-step explanation:
Take the x and y values of each value in each table. Table 3's values all lie on the graphed line and are therefore correct. Remember that x values are side-to-side and y values are up and down.
Answer:
Option C
Step-by-step explanation:
The line passes through the points (0,-1) ; (4,0);(-4,-2)
You are measuring the height of a lamppost. You stand 40 inches from the base
of the lamppost. You measure the angle of elevation from the ground to the top!
of the lamppost to be 70°. Find the height h of the lamppost to the nearest inch.
Answers
Answer:
110in
Step-by-step explanation:
The horizontal distance from where you stand to the lamp post is 40 inches.
Let the height of the lamp post be y inches.
The angle of elevation from the ground to the top!
of the lamppost to be 70°.
The height , y and the horizontal distance, form the legs of a right triangle .
We can use the tangent ratio, to calculate the height of the lamp post .
[tex] \tan(70 \degree) = \frac{y}{40} [/tex]
[tex]y = 40 \tan(70) [/tex]
[tex]y = 109.9[/tex]
To the nearest inch, the height is 110 inches
The height of the lamppost is approximately 110 inches, calculated using the tangent of a 70° angle with a base distance of 40 inches.
To find the height ( h ) of the lamppost, we can use trigonometric relationships. Given that we stand 40 inches from the base of the lamppost and measure the angle of elevation to be 70°, we can use the tangent function:
[tex]\[\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\][/tex]
In this scenario:
- The angle [tex]\(\theta = 70^\circ\)[/tex]
- The adjacent side (distance from the base) is 40 inches
- The opposite side is the height \( h \) of the lamppost
Using the tangent function, we have:
[tex]\[\tan(70^\circ) = \frac{h}{40}\][/tex]
To solve for ( h ), we rearrange the equation:
[tex]\[h = 40 \cdot \tan(70^\circ)\][/tex]
Now we need to calculate [tex]\( \tan(70^\circ) \):[/tex]
[tex]\[\tan(70^\circ) \approx 2.747\][/tex]
Multiplying this by 40 inches:
[tex]\[h = 40 \cdot 2.747 \approx 109.88\][/tex]
Rounding to the nearest inch:
[tex]\[h \approx 110 \text{ inches}\][/tex]
Therefore, the height of the lamppost is approximately 110 inches.
what is the square root of 36 and 64
Answers
Answer:
the square root of 36 is 6, and for 64 it is 8
Step-by-step explanation:
Answer:
The square root of 36 is 6 and the square root of 64 is 8