Answer:
[see below]
Step-by-step explanation:
Use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
'c' will be the hypotenuse.
The hypotenuse is 15 cm. One of the legs is 5 cm.
[tex]5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\ b=14.1421356237..., -14.1421356237[/tex]
14.1421356237 ≈ 14.1
The other leg should be about 14.1 cm.
Hope this helps.
The length of the other leg is 14.14 cm rounded to two decimal places.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, The hypotenuse of a right triangle measures 15 cm, and one of its legs measures 5 cm.
We know,
Hypotenuse² = Base² + Adjacent².
Therefore,
15² = 5² + Adjacent².
Adjacent = √(225 - 25).
Adjacent = √200.
Adjacent = 14.14.
learn more about Pythagoras's theorem here :
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Write an equivalent expression by factoring for 6a + 15
Please answer please.
Answer:
Triangles are not similar.
Step-by-step explanation:
Properties of the similarity of two triangles,
1). Corresponding angles of two triangles are equal in measure.
2). Corresponding sides of the similar triangles are proportional.
From the given triangles,
- Corresponding angles of the given triangles are not equal in measure.
- Ratios of the corresponding sides,
[tex]\frac{KM}{XY}=\frac{CM}{RY}= \frac{KC}{XR}[/tex]
[tex]\frac{53}{53}= \frac{54}{53}= \frac{64}{53}[/tex]
But these ratios are not equal.
Therefore, both the triangles are not similar.
I need help with this
Answer:
3.5
Step-by-step explanation:
the median is the dotted lines.
median of girls height: 65.5
median of boys height: 69
69-65.5=3.5
Please answer the photo.
Answer:
the answer i think is C. AB
What must you subtract from the expression –5x – 8 in order to make it equivalent to –9x – 1 for all values of x?
Answer:
the number is 4x - 7
Step-by-step explanation:
Let P be subtracted from -5x - 8 to make it equivalent to -9x - 1.
-5x - 8 - P = -9x - 1
make "-P" the subject of the formula
-P = -9x - 1 + 5x + 8
Collect like terms;
-P = -9x + 5x - 1 + 8
-P = -4x + 7
divide through by "-1"
P = 4x - 7
Therefore, the number that must be subtracted from -5x - 8 to make it equivalent to -9x - 1 is 4x - 7
Find the slope for the line that runs through points (2, 5) and (-3, 7)
Answer:
-0.4
Step-by-step explanation:
to solve use the formula m=y2-y1/x2-x1
someone please explain how to make a fraction into a decimal im confused will give brainliest to best answer also worth 25 points
Answer:
divide the numerator by the denominator and it should give you a decimal
Answer:if u don't get it tell me.
Step-by-step explanation:
how do I find a percentage from a discount
Answer:
Subtract the post-discount price from the pre-discount price.
Divide this new number by the pre-discount price.
Multiply the resultant number by 100.
Step-by-step explanation:
How many tons are equal to 36,000 pounds? With work!
Answer:
18 tons
Step-by-step explanation:
1 pound = 0.0005 ton
Therefore,
36,000 pounds
= 36000*0.0005
= 18 tons
answer fast helpp.........................
Answer:
20°
Step-by-step explanation:
In circle with center O, PS is diameter.
[tex] m\angle PRS =90\degree [/tex]
(angle inscribed in semicircle)
PQRS is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
[tex] \therefore m\angle QPS + m\angle QRS = 180\degree [/tex]
[tex] \therefore (x\degree +25\degree) +(45\degree +90\degree) = 180\degree [/tex]
[tex] \therefore x\degree +25\degree + 45\degree +90\degree = 180\degree [/tex]
[tex] \therefore x\degree +160\degree = 180\degree [/tex]
[tex] \therefore x\degree = 180\degree-160\degree [/tex]
[tex]\huge\red {\therefore x\degree = 20\degree} [/tex]
what is this polygon called and is it a regular polygon or irregular polygon
Answer:
hexagon because it have 6 sides
Step-by-step explanation:
it is irregular because it sides are not equal
THIS POLYGON IS IRREGULAR BECAUSE THIS IS HEXAGON AND IT IS IRREGULAR
an hexagon is a six sided irregular polygon
What is polygon?
a simple closed curve which does not interest itself made up if only line system is called a polygon
REGULAR POLYGON- polygon whose all side are of equal length and all angles are of equal measure
are called regular polygon
EX - SQUARE
IRREGULAR POLYGON- polygon which are not regular are called a regular polygon quadrilateral and Isosceles triangle is an example
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30
Answer:
a
Step-by-step explanation:
simplify -8-(12)+(-2)
-8-12+(-2)
=-8-12-2
=-20-2
=-22
Help me simplify this dividing Radicals!!!
Also I didn’t mean to click the last one
Answer:
ok muchas gracias por tus puntos
Answer:THE SECOUND ONE
Step-by-step explanation:
PLZ IT RIGHTS
Please help I will give brainlist ❤️
Número de departamento vendidos en un edificio cualitativa o cuantitativa.
Answer:The nucleus / large central vacuole contains
genetic material of a eukaryotic cell.
Step-by-step explanation:The nucleus / large central vacuole contains
Find the volume of a right circular cone that has a height of 18 m and a base with a
radius of 5.8 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
V=634.0 cubic meter.
Step-by-step explanation:
By formula V=πr^2(h/3)
so V=π5.8^2(18/3)
then 5.8square2 =33.64 ,18/3=6 and pi
multiply everything you'll get V=634.0990612
finally it says round to the nearest tenth which mean , V=634.0 cubic meter.
Answer:
634.1
Step-by-step explanation:
Which of the following is equvalent to (16^3/2)^1/2
A. 6
B. 8
C. 12
D. 64
Step-by-step explanation:
b 8 is the answer
simplify to2^4^(3/4) then 2^3 then that simplies to 8
Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
Answer:
A) [tex]AC=DF[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Options
A) [tex]AC=DF[/tex]
B) [tex]AB=DE[/tex]
C) [tex]\angle B=\angle E[/tex]
D) [tex]\angle A=\angle D[/tex]
Required
Which does not prove the congruence of ABC and DEF using ASA?
From the attachment, we have the following:
[tex]\angle A = \angle D[/tex] --- Angle
[tex]AB = DE[/tex] --- Side
[tex]\angle B = \angle E[/tex] ---- Angle
The ASA theorem means that 1 side of both triangles are equal.
By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.
However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem
Function E is a linear function with an initial value of $2$ , and a rate of change of $\frac{1}{3}$
.
Function F is a linear function. The graph of function F includes the points $\left(2,\ 8\right)$ and $\left(0,\ 2\right)$ .
Which statement is true?
A The two functions have the same initial value.
B The two functions have the same rate of change.
C The initial value in function F is greater than the initial value in function E.
D The rate of change in function E is greater than the rate of change in function F.
Answer:
d
Step-by-step explanation:
The true statement: A The two functions have the same initial value.
What is a linear function?A linear function has a straight line as its graph.
A linear function has the form shown below.
a + bx = y = f (x).
A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.
We know that function E is a linear function with an initial value of 2 and a rate of change of 1/3. Therefore, the equation for function E can be written as:
E(x) = (1/3)x + 2
We also know that function F is a linear function that includes the points (2, 8) and (0, 2).
We can use the two points to find the slope of the line and then use the point-slope form to write the equation for function F.
The slope of F = (8 - 2) / (2 - 0) = 6/2 = 3
Using point-slope form with the point (2, 8), we get:
F(x) - 8 = 3(x - 2)
F(x) = 3x + 2
Now we can compare the two functions.
A. The initial value of function E is 2, while the initial value of function F is 2 + 3(0) = 2. Therefore, statement A is true.
B. The rate of change of function E is 1/3, while the rate of change of function F is 3. Therefore, statement B is false.
C. The initial value of function F is 2, which is the same as the initial value of function E. Therefore, statement C is false.
D. The rate of change of function E is 1/3, which is less than the rate of change of function F, which is 3. Therefore, statement D is false.
Therefore, the only true statement is A. The two functions have the same initial value.
To learn more about the linear function;
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I need help with a/d
Answer:
yeah whats the question asking >:(
In triangle Xyz the measure of angle YXZ is 14.5°, and the measure of angle XYZ is 75°. What is the measure of angle XZY in degrees
Answer:
90.5 degrees
Step-by-step explanation:
The sum of the angle in triangle XYZ is 180 degrees, hence;
m<XYZ + m<YXZ + <XZY = 180
Substitute the given angles
75 + 14.5 + <XZY = 180
89.5+m<XZY = 180
m<XZY = 180 - 89.5
m<XZY = 90.5 degrees
Hence the measure of angle XZY in degrees is 90.5 degrees
in angle abcd if b=50 find the other angles
Answer:
angel abcd is not possible
Answer:
can u show the angels?
Step-by-step explanation:
Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en total?
Responder:
240 huevos
Explicación paso a paso:
Número de cajas de huevos = 4
Huevos por caja = 50
Total de huevos en caja = 50 * 4 = 200 huevos
Número de cajas = 3
Número de huevos por caja = 10
Total de huevos en caja = 10 * 4 = 40 huevos
Huevos totales = (huevos en caja + huevos en cartón)
Total = (200 + 40) = 240 huevos
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
Answer:
Yes, because when the values are substituted in, the equation becomes a true statement
Step-by-step explanation:
plug in the values for x and y and see if the equation makes sense
x=3
y=11
1/3(3)+11=12
1+11=12
12=12
Since the above equation is true, the point is a solution for the linear equation.
The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.
Step-by-step explanation:
let the ratio be x
now,
3x+5x+9x+13x=360°(sum of angle of quadrilateral is 360°)
30x=360°
x=360/30
x=12°
then,
3x=3×12=36°
5x=5×12=60°
9x=9×12=108°
13x=13×12=156°
so,the angles of quadrilateral are 36°,60°,108°& 156°
hope it helps.
simplify e with an exponent of in6
Answer:
Step-by-step explanation:
I think the exponent is ln6, not in6.
e^(ln 6)= 6
Simplify 9 x (1/3)2 + 3a -10 whereas "a" stands for 5.
(1/3)2 = one third to the power of 2
Answer:
24
kobeeeeeeeeee
Step-by-step explanation:
Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 90p each.
If she pays with a £20 note, how much change would she get in pounds, £?
2(2) + 3(3) =
4 + 9 = 13
I don't know what 90p means but basically, u have to multiply that by 3 and add it to our current total which is 13.
Then, u substract the total cost from the 20 and you should get the change.
4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
Complete question :
Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.
(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?
(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.
Answer:
y = 17x + 5 ;
9 bracelets ;
Sarah is right
Step-by-step explanation:
Contents per bracelet :
Small charms per bracelet = 12
Large charms per bracelet = 5
Blank spacer charms per order = 5
Number charms, y needed for X bracelets in an order ;
1 order ; x bracelets
12 + 5 = 17 small and large charms
5 = black spacer charms per order
y = 17x + 5
B.)
Order requiring 158 charms, number of bracelets :
y = 158
158 = 17x + 5
158 - 5 = 17x
153 = 17x
x = 153 / 17
x = 9 bracelets
Order requiring 264 charms
y = 264
264 = 17x + 5
264 - 5 = 17x
259 = 17x
x = 259 / 17
x = 15.23 bracelets
Sarah is right, the number of bracelets should be a positive integer and not a decimal.