Yes julia is correct the run of the scond similar triangle will be b2=25.
What are simlilar traingles?The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.
In the given:
Height of first triangle h=3
Base of first traingle =10
Height of second triangle =7.5
The base of second triangle b2 = ?
From the triangle similarity
[tex]\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}[/tex]
[tex]\dfrac{3}{10}=\dfrac{7.5}{b_2}[/tex]
[tex]b_2=\dfrac{7.5\times 10}{3}[/tex]
[tex]b_2=25[/tex]
Thus julia is correct the run of the scond similar triangle will be b2=25.
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12. A bakery has five different types of cookies in its display case as listed.
. Chocolate chip
. Oatmeal raisin
• Peanut butter
• Sugar
• Macadamia nut
If Cameron selects one cookie from the display case at random, what is the probability that it will be a peanut butter or sugar cookie?
Answer:
2/5
Step-by-step explanation:
Information we need to solve
Portion of peanut butter cookiesPortion of sugar cookiesTotal number of cookiesProbaility
No. of sugar and peanut butter cookies / Total cookies1 + 1 / 52/5What is the value of x?
Answer:
53
Step-by-step explanation:
This is because the total angle is 90, which is a complementary angle. So what you do is you subtract the total which is 90 from 37 to find x which is 53
(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.
Answer:
1 and -3
Step-by-step explanation:
The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).
From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :
[tex]\qquad \sf \dashrightarrow \:1 \: \: and \: \: - 3[/tex]
Therefore, the correct choice is D
Solve each system by graphing. Y=x-4 and y=-x
Check the picture below.
HELP PLEASE points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume
Answer:
D. Volume
Explanation:
volume - amount of space that a substance occupiesHere the substance is soil and planter will hold the specific volume of soil.
A sculpture in the shape of a triangular pyramid has a height of 10 feet. The area of the base of the sculpture is 12 square feet. What is the volume of the sculpture in cubic feet?
The volume of the sculpture with triangular pyramid shape is 40 feet³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a pyramid is given as:
Volume = (1/3) * base area * height.
For pyramid with base of 12 feet² and height 10 feet, hence:
Volume = (1/3) * 12 * 10 = 40 feet³
The volume of the sculpture with triangular pyramid shape is 40 feet³
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Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?
12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches
Answer:
A.12x2 −6; 21 inches
Step-by-step explanation:
The perimeter of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6
Perimeter of a triangleThe perimeter of a triangle is the sum of all its sides as shown
P = s1 + s2 + s3
Given the following
s1 = 4x^2 - 3
s2 =4x^2 - 2
s3 = 4x^2 - 1
x = 1.5
Take the sum of the sides
P = 12x^2 - 6
Substitute x = 1.5
P = 12(1.5)^2 - 6
P = 21 inches
Hence the perimeter of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6
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Which of the following two characteristics are typical features of a less-developed country? high percentage of employed population high percentage of the population engaged in agricultural activity lower life expectancy due to limited access to healthcare high literacy rate due to funds available for higher education high gross domestic product per capita
Answer:
two characteristics are typical features of a less-developed country are:-
2- High percentage of the population engaged in agricultural activity
3- Lower life expectancy due to limited access to healthcare
Step-by-step explanation:
1 -false
2- true
3- true
4- false
5- false
~Kandy~
hope this helped!
Brainliest please!
I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?
======================================================
Explanation:
SA = surface area of the sphere
SA = 4*pi*r^2
SA = 4*pi*8^2
SA = 804.247719
The surface area is roughly 804.247719 sq ft.
I used the calculator's stored version of pi to get the most accuracy possible.
Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.
804.247719/75 = 10.72330292
Round up to the nearest integer to get 11
You'll have leftover paint, but it's better to go over the goal than come up short.
two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms
The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.
How to find the sum of terms using Arithmetic sequence formulaaₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore, let's find a and d
a₁₀ = a + (10 - 1)d
a₃₅ = a + (35 - 1)d
Hence,
16 = a + 9d
66 = a + 34d
25d = 50
d = 50 / 25
d = 2
16 - 9(2) = a
a = 16 - 18
a = -2
Therefore, let's find the sum of 75 terms of the arithmetic sequence
Sₙ = n / 2 (2a + (n - 1)d)
S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)
S₇₅ = 37.5 (-4 + 148)
S₇₅ = 37.5(144)
S₇₅ = 5400
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50 POINTS NEED HELP
If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
A.
52 square inches
B.
53 square inches
C.
56 square inches
D.
54 square inches
Hey so I have a question do u need to explain?
Helen is having a birthday
party. Her friends arrive at
her house at 8:15 p.m. They
leave three hours later. What
time do Helen's friends leave?
Answer: 11:15 p.m 5:15 p.m.
Step-by-step explanation:
Reflect the shape A in the line x=1
What are the coordinates of the vertices of the image?
anyone who is amazing at maths please help!!!!!!!!!!!!!!!!!!!!
i am running out of time
Answer:
reflected image shown in red on attached diagram
Step-by-step explanation:
When reflecting an object in the line x = a:
reflected x-values: 2a - xreflected y-values are the same as the original y-valuesSo when reflecting in the line x = 1
given x-value = 2, so reflected x-value = 2(1) - 2 = 0given x-value = 4, so reflected x-value = 2(1) - 4 = -2(2, 7) → (0, 7)
(2, 4) → (0, 4)
(4, 4) → (-2, 4)
Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?
The total length of the trip is the number of miles in the trip
The total length of the trip is 974 miles
How to determine the total length?The given parameters are:
Proportion of sleep = 21%Distance awake = 711 milesIf Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip
Represent the total length of the trip with T.
So, we have:
73% * T = 711 miles
Divide both sides by 73%
T = 974 miles
Hence, the total length of the trip is 974 miles
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An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?
A.
5 in.3
B.
7 in.3
C.
19 in.3
D.
29 in.3
The approximate difference of the volume of the two spherical fruits is: C. 19 in.³.
What is the Volume of a Sphere?Volume of sphere = 4/3πr³
The orange and the grapefruit are spherical in shape. Therefore:
Volume of orange = 4/3πr³ = 4/3π(1.5)³ = 14.14 in.³
Volume of grapefruit = 4/3πr³ = 4/3π(2)³ = 33.51 in.³
Difference in volume = 33.51 - 14.14 = 19.37
Therefore, the approximate difference of the volume of the two spherical fruits is: C. 19 in.³.
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"When you double my number and add 5, you get 17. What is my number?"
Answer: 6
Step-by-step explanation: 6 doubled is 12 then 12 plus 5 = 17
please help me with segment addition and midpoints
Answer:
3
Step-by-step explanation:
Since we know QR and RS are the same, we can add them together
6 + 6 = 12
Since the whole line is 15 we subtract 12 from 15
15 - 12 = 3
How many seconds are in 3 minutes?
There are 60 seconds in one minute.
Complete the table.
Answer:
1 min- 60 secs
2 mins- 120 secs
3 mins- 180 secs
Step-by-step explanation:
If one minute equals 60 seconds then you would times 60 seconds by the number of minutes.
1x60=60
2x60=120
3x60=180
I really need some help on this
since the shape made by the angles is a quadrilateral, or namely a polygon of 4 sides, hmmm the sum of all interior angles in a polygon is
180(n - 2)
n = number of sides
so that polygon has a total of interior angles of 180(4 - 2) = 360.
Check the picture below.
Find the area of the shaded region.
Group of answer choices
72
75
71
74
Answer:
72
Step-by-step explanation:
First. I counted the triangles. Then, I found the area of one triangle. Since the area of a triangle is (base*height)/2, I found the area of one triangle this way: 6x6=36. 36/2=16. After that, I then multiplied the area of the one triangle by four, since there are four triangles. 16x4=72
What is the value of sin180?
Answer:
sin180° = 0
Step-by-step explanation:
using your calculator or graph to find
sin180° = 0
Answer:
0
Step-by-step explanation:
The exact value of sin 180 is zero. Sine is one of the primary trigonometric functions which helps in determining the angle or sides of a right-angled triangle. It is also called trigonometric ratio.
50 students each did a mathematics test. the mean score for these 50 students was 8.4. there were 30 boys. the mean score for these bots were 8.25. workout the mean score for the girls.
[(30 x 8,25) + (20 x n)] / 50 = 8,4
247,5 + 20 x n = 420
n = (420 - 247,5) : 20
n = 8,625
PLS HELP
A cone has a volume of 803.84 cubic millimeters and a radius of 8 millimeters. What is its height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
h ≈
millimeters
Answer:
3.19 millimeter round of nearest hundred
If Jonah’s lunch cost $27.50, and he paid $1.65 sales tax. What is the percent of sales tax?
Answer:
6.38%
Step-by-step explanation:
To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.
So we get this sort of image:
Total = Original Cost x (1 + %tax)
Now we can start putting the numbers from the question into this equation.
So we know the total:
27.50 = Original Cost x (1+%tax)
We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)
27.50 = 25.85 x (1+%tax)
Now we can start solving for "%tax".
(27.50/25.85) = 1 + %tax
1.0638 = 1 +%tax
1.0638 - 1 = %tax
0.0638 = %tax
6.38% = tax
The sales tax is 6.38%.
A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a base of 21 cm and a height of 16 cm. The length of the entire box is 130 cm.
Which of the following is the volume of the box?
.
43,680 cm3
B.
21,840 cm3
C.
4,368 cm3
D.
19,340 cm3
What should be completed first when simplifying 2(x − 3) + 6(4x + 1)?
Combine like terms.
Subtract x − 3.
Distribute the 2 to the x − 3 and the 6 to the 4x + 1.
None of these choices are correct.
Answer:
Distribute the 2 to the z-3 and the 6 to the 4x+1
Step-by-step explanation:
I'm not sure why it says none of the choices are correct. According to the distributive property, which is followed in any similar algebraic equation. You distribute values first and then combine like terms and go on from there. Hope this helps.
In a survey of 950 people, it was found that 420 people prefer Pepsi, 380 people prefer Coca Cola, and
the remaining people prefer other drinks, what percentage of the people prefer Pepsi and Coca Cola?
Answer:
84.2%
Step-by-step explanation:
420 + 380 = 800
800 / 950 = .842
.842 * 100 = 84.2
84.2 = 84.2%
Anyone know this or how to work this out
Answer:
140 degrees.
Step-by-step explanation:
All circles are made up of [tex]360^\circ[/tex]. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of [tex]360^\circ[/tex]
Notice the little red box, which indicates a [tex]90^\circ[/tex] angle. From the circle, we know the following angles:
[tex]\angle{RQS}=130^\circ[/tex]
[tex]\angle{TQS}=90^\circ[/tex]
We can write and solve an equation to solve for the missing angle, [tex]\angle{RQT}[/tex]:
[tex]\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ[/tex]
Combine like terms:
[tex]230^\circ+\angle{RQT}=360[/tex]
Subtract [tex]230^\circ[/tex] from both sides:
[tex]\angle{RQT}=140^\circ[/tex].
what’s the lengths of the sides using pythagoras
Answer:
height and the base your take height you square it then you square the base then you -
8,14,20, Find the 49th term.
Answer:
2,8,14,20...… the 49th term is 294.
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
294
Step-by-step explanation:
formula
an=a1 +(n-1)d
n= unknown term
d= difference between each term
8=a1
14=a2
20=a3
a49=8+(49-1)×(6)
a49= 8+ 48 ×(6)
a49= 8+ 288
a49= 294