We can find the base of the isosceles triangle with legs using the formula:
2 × sqrt ((hypotenuse) ^ 2 - (altitude)^2) = base
Let us assume that the leg of the isosceles triangle is 'h' and one side is 'a'. Let the base be 'x'.
As there is a leg (altitude) in the isosceles triangle, then it forms a right triangle in the isosceles triangle, such that the sides form the hypotenuse.
Therefore, by using the Pythagoras' theorem,
hypotenuse ^ 2 = (altitude)^2 + (base / 2)^2
Hence, we get the base by deriving this expression from the above formula:
2 × sqrt ((hypotenuse) ^ 2 - (altitude)^2) = base
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ginger paid 7.50 for 2 pounds of fish. how much did she pay per pound?
Answer:
$3.75 per pound
Step-by-step explanation:
7.50/2 =3.75
Hope this helps!!
Answer:
3 3/4
Step-by-step explanation:
she paid 3 3/4 because 7.50 ÷ 2 is 3 3/4
A 9-foot (ft) ladder and a 4-foot ladder are leaning against a house. The two ladders create angles of the
same measure with the ground. The 4-foot ladder has a height of 3.8 feet against the house.
Help please!!
Answer:
The 9-foot ladder would have a height of 8.55 ft against the house
Step-by-step explanation:
The angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonpometric ratios.
Therefore, the 9 foot and the 4 foot ladder forms the same angle.
The 4 foot ladder forms a 3.8 ft height against the wall.
Hence,
sin ∅ = opposite/ hypotenuse
sin ∅ = 3.8 / 4
∅= sin⁻¹ 0.95
∅ = 71.8051276612
∅ = 71.8°
Therefore, the angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
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What is 2x^3 if x=3?
Answer:
2^3 when x=3
2*3^3
6^3
6*6*6
36*6
=192Step-by-step explanation:
help with all pleas
1. what is 3% of 84
2. 378 is what percent of 450
3. 8 is what percent of 128
Answer:
Hello There!!
Step-by-step explanation:
1. 2.52
2. 84
3. 6.25
hope this helps,have a great day!!
~Pinky~
Write 1 specific conditional statement of your
realizations from the pandemic that is happening
today. Then, write the other forms of it namely:
CONVERSE, INVERSE and CONTRAPOSITIVE.
Answer:
Plzzzz answer fastPlzzzz answer fast......
Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill , 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?
Answer: 2/75:)
Step-by-step explanation:
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger number and y represent the smaller number. Which equations represent this situation?
Answer:
y= -x
y= 3/2 -5
Step-by-step explanation:
The sum of two numbers is zero.
x + y = 0
y = -x
Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.
Twice the smaller number: 2y
3 times the larger number: 3x
Twice the smaller number subtracted from 3 times the larger number is 10.
3x - 2y = 10
-2y = -3x + 10
y = 3/2 x - 5
The equations are:
y = -x
y = 3/2 x - 5
Hope I helped (p.s. maybe brainliest)
Answer:
A )
y = -x
y = 3/2 x - 5
Step-by-step explanation:
trust me
Please help with this problem.
Answer:
d = 28
r = 14
r² = 196
C = 87.92
Step-by-step explanation:
Given:
r = 14
To find diameter:
d = 2r
d = 2(14)
d = 28
To find r²:
14²
196
Circumference:
C = 2πr
C = 2(3.14)(14)
C = 87.92
Find the GCF of
[tex] {6x}^{4} - {24x}^{3} [/tex]
1. Paula has x cups of food in a container to feed her dogs. She pours 1.5 cups of food into their bowls. There is now 5.25 cups left in the container. Which equation would be used to solve this problem?
a. 1.5 - x = 5.25
b. 5.25 - x = 1.25
c. x - 1.5= 5.25
d. x + 1.5= 5.25
2. A box of donuts cost $9. You want to send donuts to the local nursing home. Set up an equation to find how many boxes you can send if you have $72.
a. 72 = 9 + b
b. 72 = 9 - b
c. 72 = 9b
d. 72 = 9/b
3. Jordan is purchasing a board to build a bookcase. He wants to divide the board into 1.75 foot sections and he needs 6 sections. Which equation can be used to solve this problem?
a. b/1.75 = 6
b. 1.75b = 6
c. b - 1.75 = 6
d. b + 1.75 = 6
pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)
Photic zone: seaweeds and corals live here
aphotic zone: mid-ocean level where no light reaches
deep ocean floor: animals that glow are found here
Hope this helped!
Answer:
deep ocean floor - animals that glow are found here
photic zone - seaweeds and coral live here
aphotic zone mid-ocean level where no light reaches
Step-by-step explanation:
I rly hope this helps!! :D
PLS HELP ME
What would the measure of the third angle
equal?
Answer:
55
Step-by-step explanation:
180−43−82=55(angles of a triangle add upto 180)
What would the measure of the third angle equal?
Well given that all 3 vertices of a triangle are supposed to be a sum of 180*
Hence this information side E is 82* and side H is 43* and when added up they equal 125 so then you would subtract 180 - 125 = 55\
Therefore, side T = 55*
Mrs. Monaco made 144 cookies. She decides to bring 105 of them to school to share with her students, and the rest she will keep at home to eat. What percentage of the cookies did she bring to school to share with students? Round your answer to the nearest tenth.
Show all your work.
Answer:
40 is ur answer
Step-by-step explanation:
144-105=39
39 written as a percentage is 39%
39% rounded to nearest tenth is 40
Answer:
dhchdhduc
Step-by-step explanation:
Do you need to simplify 3/12?
Answer: Yes
You still need to simplify 3/12 because it is not in its MOST simplified form.
3/12 can be simplified to 1/4 by dividing 3.
on the grid draw the graph of x+2y=7 for values of x between -2 and 3
Answer: look at the picture
Step-by-step explanation: Hope this help :D
which graph has the equation y=2/3x ?
Answer:
No that is not the graph for that equation The graph for it would be.
Step-by-step explanation:
Answer:
The graph in the picture has the following function: y=3/2x
look attachment for the graph of y=2/3x
HELP PLEASE!!!What is the measure of /_BAC?
50°
80°
100°
130°
Answer:
<BAC = 80
Step-by-step explanation:
All triangle angles equal 180
<BAC = x
x + 50 + 50 = 180
x + 100 = 180
x = 180 - 100
x = 80
Madeline wants to buy a car. The maximum loan she can get from the bank is
$14, 415. If Madeline has $1,085 available to make a down payment, what is the
highest valued car she can purchase?
Answer:
She can buy a 12000$ car
--heart if helped or brain me ;3--
‼️ PLEASE HELPPPP ‼️
Answer:
not sure if im right cause its blurry but the first one is 10 the 2nd one is 15
Step-by-step explanation:
i think its blurry tho
The speed of a truck, s, must be no less than 34 miles per hour.
Answer:
s = ≥34
Step-by-step explanation:
The speed of the truck, s, must be no less than 34 miles per hour
is s ≥ 34.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, The speed of a truck, s, must be no less than 34 miles per hour.
Therefore, The speed of the truck must be greater than or equal to 34 miles per hour.
So, The inequality that represents this context is,
s ≥ 34.
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A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12
Answer: The height of street sign = 15
Step-by-step explanation:
At the same time, the angle made by the light on each object is the same.
Pole and street sign both standing vertical to the ground.
So triangle made by both of them are similar
The sides of similar triangles are proportional,
[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]
Hence, the height of street sign = 15
HELPP PLSSS I WILL GIVE YOU BRAINIEST PLSS THIS IS MY THIRD TIME POSTING PLS HELP MEE What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(3,9) (1,1)
Answer:
the slope of the line is
4Answer:
1/4
Step-by-step explanation:
From 1 to 3 is two that is the ride of the slope and the run is from 1 to 9 witch is 8 and that means 2/8 but you can minimize the fraction to 1/4
five more than the product of 9 and a number u
Answer:
9u + 5
Step-by-step explanation:
five more than the product of 9 and a number u. i.e.,
(9 × u) + 5
9u + 5
-TheUnknownScientist
Answer:
5 more than means + 5
and it is saying product of the no u with 9 so 9u
9u +5
HELP ME WITH LINEAR RELATIONSHIPS MATH PLEASE !!’
Answer:
y = -1/4x + 2
Step-by-step explanation:
Pick two points on the graph. Points (-4, 3) and (4, 1).
[tex]\frac{x_{2} - x_{1} }{y_{2} - y_{1} }[/tex]
[tex]\frac{3-1}{-4-4}[/tex]
= [tex]-\frac{1}{4}[/tex]
Slope is [tex]-\frac{1}{4}[/tex].
The y-intercept is the point where the line intersects the y-axis. In this case, it's (0, 2). So +2.
y = -1/4x + 2
Find the area of the figure to the nearest tenth.
165 7 in
Answer:
141.1 in
Step-by-step explanation:
r^2*theta
7^2*165pi/180
141.1
Answer:
Step-by-step explanation:
Which of the following is equivalent to log 2 (c)⋅log c (2)
Answer:
1
Step-by-step explanation:
According to law of indices
log a b = 1/ log b a
hence log c (2) = 1/log 2 (c)
log 2 (c)⋅log c (2)
= log 2 (c)⋅ 1/log 2 (c)
= log 2 (c)/log 2 (c)
= 1
Hence the required answer is 1
HURRY ITS A TIME TEST!!
Which of the following sets of three side lengths determine no triangle?
2 feet, 2 feet, 3 feet
2.5 feet, 3.5 feet, 6.5 feet
4.1 feet, 5.2 feet, 6.3 feet
5 feet, 7.4 feet, 12 feet
Answer:
https://www.cbsd.org/cms/lib010/PA01916442/Centricity/Domain/2623/Similar%20Figures%20Worksheet%202%20answer%20key.pdf
Step-by-step explanation:
$25.00 With a 10% discount. $27.00 With a 20% discount. $26.00 Whit a 15% discount. Witch one is cheaper?
Answer:
i think its $27.00 with a 20% discount
Step-by-step explanation:
$25 with a 10% discount is $22.50, $26 with a 15% discount is $22.10, and $27 with a 20% discount is $21.60. Therefore the cheapest option is $27.00 with a 20% discount.
Can someone please help me I’ll give brilliant thingy
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
PLEASE HELP MEEE !!!!
Given:
The figure of a trapezium.
To find:
The measures of missing angle [tex]m\angle K, m\angle M[/tex].
Solution:
In the given figure [tex]JK\parallel ML[/tex].
If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.
[tex]m\angle J+m\angle M=180^\circ[/tex] (Supplementary angles)
[tex]87^\circ+m\angle M=180^\circ[/tex]
[tex]m\angle M=180^\circ-87^\circ[/tex]
[tex]m\angle M=93^\circ[/tex]
Similarly,
[tex]m\angle L+m\angle K=180^\circ[/tex] (Supplementary angles)
[tex]51^\circ+m\angle K=180^\circ[/tex]
[tex]m\angle K=180^\circ-51^\circ[/tex]
[tex]m\angle K=129^\circ[/tex]
Therefore, [tex]m\angle M=93^\circ[/tex] and [tex]m\angle K=129^\circ[/tex].