Question:
Gabriel started to calculate the area of the triangle. His work is shown.
A = 1/2 bh=1/2 (1/2) (3/4)
A triangle has a base of three-fourths inch and a height of one-half inch
What is the area of the triangle?
The area of the triangle is ___in.²
Answer:
Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]
Step-by-step explanation:
We are given the dimensions of the triangle as:
Base, b = ¾ inch
Height, h= ½ inch
To find the area of the triangle, let's use the formula :
Area of a triangle = ½base *height
Solving further, we have:
Area of a triangle = [tex] \frac{1}{2}*\frac{3}{4} * \frac{1}{2} = \frac{3}{16} [/tex]
Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]
What is the equation
Answer:
76
Step-by-step explanation:
-4x + 104 = -200
-4x = -304
4x = 304
x=76
What is the cube root of 0.000512
Solve with steps
2x+26+(5-3x)..........................................
The sum of the two shorter sides of a triangle must be equal to the longest side to be classified as a triangle
Answer:
False
Step-by-step explanation:
For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5
but when you add 3 and 4 they do not give you 5
so that is false
A submarine at a depth of 675 feet below the surface rose to 1/3 this depth. Which of the following represents the new depth of the submarine below the surface?
Answer:
225
Step-by-step explanation:
Take 675/3 to find one third of its current depth. That gives you your answer. Does that make sense?
Find the sum of 1
5
and 7
10
The expression written in equivalent form with common denominators is .
The sum is
Answer:
2/10 + 7/10
9/10
Step-by-step explanation:
I did the test.
Answer:
The expression written in equivalent form with common denominators is
✔ 2/10 + 7/10
The sum is
✔ 9/10
Step-by-step explanation:
What’s the sum of (9a+3b-5) and (4b-6)
Answer:
9a +7b-11
Step-by-step explanation:
(9a+3b-5) + (4b-6)
Combine like terms
9a + 3b+4b -5-6
9a +7b-11
Answer:
9a +7b-11
Step-by-step explanation:
To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet? feet
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometryCircumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]
where d is the diameter and r is the radius.
ApplicationStep 1: DefineLet's organize what is given to us in the problem.
We are given that we are riding a Ferris wheel and have traveled 157 feet.
Step 2: SolveLet's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:
[Circumference Formula] Substitute in known variables (take π ≈ 3.14):∴ the radius of the Ferris wheel is equal to 25 feet.
Answer*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274
The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.
___
Learn more about circles: https://brainly.com/question/15306477
Learn more about Geometry: https://brainly.com/question/23669892
___
Topic: Geometry
Unit: Circles
Answer:
50 feet
Step-by-step explanation:
trust
What is 9.9581 rounded to the nearest thousandth?
Answer:
9.958
Step-by-step explanation:
The thousandths spot is where the 8 is so you round 8 with the number behind it 1. Since 1 is below 5, you keep 8 the same and get rid of the 1.
Answer:
9.958
Step-by-step explanation:
find the number in the thousands place, 8 and then look 1 place to the right for the rounding digit 1. Round up if this number is greater than or equal to 5 and round down if it is less then 5.
In what quadrant is the sine POSITIVE, and the cosine NEGATIVE?
Answer:
Second quadrant
Step-by-step explanation:
In the second QUADRANT sine is positive and cosine is negative.
Answer:
Look at attached graphic
sine if positive in Quadrants I and II
cosine is negative in Quadrants II and III
(in the graphic blue is positive red is negative)
Step-by-step explanation:
6 x 10 to the power of -2 is how many times as large as 2 x 10 to the power of -8. PLEASE RESPOND QUICK
Answer:
False
Step-by-step explanation:
The left side 0.06 does not equal to the right side 0, which means that the given statement is false.
Which of the following statements is equivalent to P(z < −2.1)? P(z > –2.1) 1–P(z < 2.1) P(z < 2.1) 1–P(z > 2.1)
Answer:
B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is a set of ordered pairs
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
please help will mark brainly
Answer:
The Answer Is 2/3
Step-by-step explanation:
If you look at the shaded area it is 2 shaded out of 3 which means 2/3
Answer:
2/3
Step-by-step explanation:
There are 3 blocks and 2 of those 3 are shaded.
Hope this helps
Please mark me as Brainliest
Find the exact length of the third side.
4
2
Answer:
Step-by-step explanation:
4-2<x<4+2
2<x<6
x = 3, 4 or 5
i assume u r talking about triangle
Jamal decides he wants to shop around for the best price for purchasing an advertisement space in a newspaper. One of the companies he contacts charges $2.00 for each line in the advertisement and an initial fee. For the 3 lines he needs, the company will charge $14.00. Which equation best represents this scenario if y is the cost for an ad with x lines?
Answer:
Y = $2x + 8
Step-by-step explanation:
Variable cost per line = $2.00
For 3 lines, the Variable cost = $2 x 3 = $6
Total cost for 3 lines = $14.00
Fixed Charges = $14 - $6 = $8
Using the formula, total cost, Y = $2x + $8 = $14
Where x = number of lines needed.
Therefore, total cost, Y = ($2 x 3) + $8 = $14
Hi Please help! this is math and coding soooo ye
Answer:
49
Step-by-step explanation:
Cube 7 to get the volume.(343)
Do 7^2 to get 49, then multiply by 6 to get the surface area(294)
Then subtract 343-294=49
If I have 21 cone shaped hats with a diameter of 16in and height of 9in. How much paper do I need to cover the hats?
Answer:
10584 inches of paper
Step-by-step explanation:
to find the surface area of a cone the formula you use is A= πr(r+h2+r2) *you need to divide 16 by two to find the radius 16 is the diameter*
and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches
6 The midpoint of the line segment joining
Alh, 4) and B(-5, k) is M(3,-2). Find
(a) the values of h and k,
(b) the equation of the perpendicular
bisector of the line segment AB.
Answer:
Question A, the values of h is 11 and k is -8 .
Question B, the equation is y = (-4/3)x + 2 .
Step-by-step explanation:
Question A, in order to find the value of h and k, you have to use the mid-point formula and do comparison :
[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Let (x1,y1) be coordinate A (h,4),
Let (x2,y2) be coordinate B (-5,k),
Let mid-point be (3,-2),
[tex](3 \: , - 2) = ( \frac{h - 5}{2} , \frac{4 + k}{2} )[/tex]
[tex]by \: comparison, \: [/tex]
[tex] \frac{h - 5}{2} = 3[/tex]
[tex]h - 5 = 6[/tex]
[tex]h = 11[/tex]
[tex] \frac{4 + k}{2} = - 2[/tex]
[tex]4 + k = - 4[/tex]
[tex]k = - 8[/tex]
Question B, given that line is perpendicular bisetor to AB means that the line touches mid-point which is M(3,-2). Using gradient formula :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Let (x1,y1) be (11,4),
Let (x2,y2) be (-5,-8),
[tex]m = \frac{4 - ( - 8)}{11 - ( - 5)} [/tex]
[tex]m = \frac{12}{16} [/tex]
[tex]m = \frac{3}{4} [/tex]
The gradient of perpendicular line is opposite of line AB and when both gradient are multiplied, you should get -1 :
[tex]m1 \times m2 = - 1[/tex]
Let m1 be the gradient of AB, m = 3/4,
Let m2 be the gradient of perpendicular line,
[tex] \frac{3}{4} \times m2 = - 1[/tex]
[tex]m2 = - \frac{ 4}{3} [/tex]
Last, we have to use the slope-form equation, y = mx + b and susbtitute the coordinates of M into the equation :
[tex]y = mx + b[/tex]
Let m = -4/3,
Let x = 3,
Let y = -2,
[tex] - 2 = - \frac{4}{3} (3) + b[/tex]
[tex]b = 2[/tex]
If a 30-foot ladder leaning against a building makes a 62° with the ground. How many feet from the base of the building is the bottom of the ladder? Assume you hired an excellent contractor, and your building's wall is perpendicular to the ground. Round to the nearest tenth of a foot.
Answer: 14.1 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.
cos α = adjacent side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder
Replacing with the values given:
cos 62 = x/ 30
Solving for x
cos62 (30) =x
x= 14.1 feet
Feel free to ask for more if needed or if you did not understand something.
Quadrilateral ABCD is inscribed in a circle
What is the measure of angle A?
Answer:
Quadrilateral ABCD is inscribed in a circle, then
A + C = 180
=> 2x + 9 + 3x + 1 = 180
=> 5x = 170
=> x = 34
=> A = 2 x 34 + 9 = 77 deg
Hope this helps!
:)
Answer:
77°
Step-by-step explanation:
ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.
[tex]\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\ (5x + 10) \degree =180° \\ 5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x = \frac{170}{5} \\ x = 34 \\ \angle A = (2 \times 34 + 9) \degree \\ \huge \red{ \boxed{\angle A= 77 \degree}} \\ [/tex]
Hilda is taking out an $11,000 personal loan that she will repay in 5 years. If she receives a 10% interest rate, her monthly payments will be $233.72. If she receives and 18% interest rate her monthly payments will be $279.33. How much less interest will Hilda pay if she qualifies for the lower interest rate? *
Answer:
Hilda would pay $ 2,736.60 less interest
Step-by-step explanation:
The total interest payment is the total repayments for 5 years less the initial loan amount
If the interest rate is 10% Hilda repays $233.72 for 5 years multiplied by 12 months:
total repayment=$233.72*5*12=$ 14,023.20
Interest =$14,023.20-$11,000.00=$3.023.20
If the interest rate is 18% Hilda repays $279.33 for 5 years multiplied by 12 months:
total repayment=$279.33*5*12=$ 16,759.80
Interest =$16,759.80 -$11,000.00=$5759.8
Difference in interest payments=$5759.8 0-3.023.20=$ 2,736.60
Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standard error of the mean,ox, is 3.1. A random sample of 25 of the times chosen. What interval captures 68% of the means for random samples of 25 scores?
Answer:
[tex] 94.2 -0.994*3.1 = 91.1186[/tex]
[tex] 94.2 +0.994*3.1 = 97.2814[/tex]
And the 68% confidence interval is given by (91.1186, 97.2814)
Step-by-step explanation:
For this case we know that mean time that visitors stay at a museum is given by:
[tex] \bar X = 94.2 [/tex]
The standard deviation is given by:
[tex] s= 15.5[/tex]
And the standard error is given by:
[tex] SE = \frac{s}{\sqrt{n}} =3.1 [/tex]
And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:
[tex] z_{\alpha/2}= \pm 0.994[/tex]
We can find the interval like this:
[tex] \bar X \pm ME[/tex]
And replacing we got:
[tex] 94.2 -0.994*3.1 = 91.1186[/tex]
[tex] 94.2 +0.994*3.1 = 97.2814[/tex]
And the 68% confidence interval is given by (91.1186, 97.2814)
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$29,160
Step-by-step explanation:
i = prt
i = ($81,000)(.09)(4)
i = $29160
Answer:
$360
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 81000 × 9/100 × 4
I = $360
Three solid shapes, A, B and C are similar.
The surface area of shape A is 9cm^2
The surface area of shape B is 16cm^2
The ratio of the volume of shape B to the volume of shape C is 27 : 125
Work out the ratio of the height of shape A to the height of shape C.
Give your answer in its simplest form.
Answer:
A:C = 9:20
Step-by-step explanation:
The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures. If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)². Therefore,
(A/B )² = 9/16
square root both sides
A/B = √9/√16
A/B = 3/4
A:B = 3:4
The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures. Therefore,
(B/C)³ = 27/125
cube root both sides
B/C = 3/5
B:C = 3:5
To make the ratio equivalent
A:B:C = 9:12:20
A:C = 9:20
Suzie wants to buy a shirt that costs $30.00. She has $90.00. How many shirts can Suzie buy?
Answer:
3 shirts
Step-by-step explanation:
90 divided by 30 = 3
Therefore, with $90.00, Suzie can buy 3 shirts.
:)
Answer:
3 shirts
Step-by-step explanation:
$90/$30=3 shirts
Find the 25th term for the sequence a1=5 and d=0.5
Answer:17
Step-by-step explanation:
We can tell from the question, that the problem is an arithmetic progression type because of presence of d=common difference.
The nth term of an arithmetic progression is given as
Tn=a1 +(n-1)d
putting the given vales we have
T₂₅=5 +(25-1)0.5
T₂₅=5 +(24)0.5
T₂₅=5 +12
T₂₅=17
The 25th term for this sequence is 17
See similar question here:https://brainly.com/question/14163007
60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
c
Step-by-step explanation:
(7i)(3i) help please
Answer:
-21i
Step-by-step explanation:
[tex]i^{2}[/tex] = -1
7*3=21
21 x -1 = -21
Answer:
-21
Step-by-step explanation:
PLZ HELP IM TIMMED The following sets of numbers are possible side lengths of a triangle. Which of the following sets forms a Pythagorean triple?
18, 24, 42
45, 28, 53
15, 30, 45
33, 77, 22
Answer:
Test each set of lengths using Pythagoras' Theorem. Is a2+b2=c2?
Step-by-step explanation:
Answer:
You have to see each one and do the formula, a^2*b^2= c^2, then under'root the c^2 to become c