Answers
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]
I am joyous to assist you at any time.
[tex] \huge \underline\text{ Hello There}[/tex]
[tex] \text{We know, Pythagoras Theorem}[/tex]
[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]
[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]
[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]
[tex] \huge \underline\text \red {Solution}[/tex]
[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]
[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]
[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]
Related Questions
On May 1, Anna purchased a new condo. She pays a monthly maintenance fee of $230. Her monthly property taxes equal 13.5% of the monthly fee. How much will Anna pay in property taxes for this calendar year?
Answers
Answer:
$31.05
Step-by-step explanation:
You can get this answer by changing percent (13.5%) to just 13.5, or in other words, a decimal. you also change 230. to a decimal by by moving the decimal point two times to the left to get 2.30. You can then get your answer by multiplying the values together (2.30 x 13.5)
If 5^2x = 1, what is the value of 'x' ?
Answers
Answer:
x = 0
Step-by-step explanation:
5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
Answers
Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
5x - 15 = 2x + 15Solve:
5x - 15 = 2x + 155x - 30 = 2x5x = 2x + 303x = 30x = 10So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
HELP PLEASE!! <3
i honestly don't understand what they want me to do here
Answers
Answer:
(a)
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 20 ← is in this form , then
centre = (0, 0 ) and r = [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
which is the answers
Answers
Answer:
1. any number from 42 to 68
e.g 52
2. any number less than 42 or greater than 68
e.g 76
What is the value of w in the equation 2(2w − 16) = 0?
Answers
Answer:
[tex]w=8[/tex]
Step-by-step explanation:
[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8
A square rug has an area of 256 square feet. What is the perimeter of the rug?
Answers
Answer:
64
Step-by-step explanation:
[tex]\sqrt{256}[/tex] = 16 (length of each side)
A square (rug) has 4 sides.
Add to find perimeter:
16 + 16 + 16 + 16
= 64
Answer: 8ft
Step-by-step explanation:
4A= 256
4A/4 = 256/4
A = 64
A = a²
64 = 4²
a² = 64
a = ±√64
a = ±8
∴a = ±8
Hence, the length of a side of each rug is 8ft.
Complete the table.
Milkshakes Cost
Answers
Answer:
811
Step-by-step explanation:
i d k
In the image below, why must triangle A'B'C be similar to ABC?
(Don't mind the chosen answer)
Answers
Answer: Option (3)
Step-by-step explanation:
You can get 2 pairs of corresponding angles from the parallel segments, meaning that they are similar by angle-angle.
Jin's family took a road trip to Niagara Falls. Jin slept for the last 24 miles of the trip. If the total length of the trip was 400 miles, what percentage of the total trip had they travelled when Jin fell asleep?
Answers
Answer:
94%
Step-by-step explanation:
400-24=376
Find 376 out of 400 as a decimal:
376/400 = 0.94
0.94x100 = 94%
gi i need help with this question if you can help me asap that whould be great
Answers
Triangle ABC is congruent to B triangle A"B"C".
Which sequence of transformations could have been used to transform triangle abc to produce triangle A'' B'' C''? transform triangle ABC triangle A"B"C"?
A. Triangle ABC was translated 7 units down and then 9 units right.
B. Triangle ABC was translated 10 units to the right and then reflected across the x Axis.
C. Triangle ABC was reflected across the x Axis and then translated 9 units right.
D. triangle ABC was reflected across the y Axis and then translated 7 units down.
Answers
Answer: D
Step-by-step explanation:
Solve for area and perimeter in each of the following problems.
Answers
Answer:
1. perimeter =2(l+w)
=2(17+10)
= 54 yards
Are of the perimeter=l times b
=17 x 10
=170 yd square
Just follow this concept for all of them. It the same thing. Good Luck!!
Step-by-step explanation:
Please help and explain WILL MARK BRAINLIEST!!!!
Answers
Answer:
x is 19.5 degress
Step-by-step explanation:
hmmm so here oh i see now okay:
since a line is 180 degress lets write
2x + 82.5 + 3x = 180
now we umm add the ones with the same variable and power
5x + 82.5 = 180
5x = 180 - 82.5
5x = 97.5
x = 19.5
This is an angle on a straight line and It is equal to 180°
2x° + 3x° + 82.5° = 180°
5x° = 180° - 82.5°
5x = 97.5°
x = 19.5°
To indicate the angle
2x => 2(19.5°) => 39°
3x => 3(19.5°) => 58.5°
The angle are (39°, 82.5°, 58.5°
What is the approximate measure of angle B?
Answers
Answer: D
Step-by-step explanation:
Photo attached with instructions
Answers
Step-by-step explanation:
using cosine rule,
BC²= AC² + BC² - 2*AC*BC*COSc
= 13² + 6² - 2*13*6*-cos(180-91)
= 169 + 36 - (-2.72)
= 202.28
√BC² = √202.28
BC = 14.22
BC = 14.20cm to nearest tenth
You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision.
Answers
volume : 7.5 cm²
volume of cube : length * width * height[tex]\hookrightarrow \sf Length \ * Width \ * \ Height[/tex]
[tex]\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3[/tex]
[tex]\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3[/tex]
[tex]\hookrightarrow \sf \dfrac{15}{2}[/tex]
[tex]\hookrightarrow \sf 7.5 \ cm^2[/tex]
Answer:
[tex]\sf volume=7 \frac12 \ cm^3[/tex]
Step-by-step explanation:
Formula
volume of cuboid = length × width × height
Given dimensions of the ice cube:
length = 2 cmwidth = 1 1/4 cmheight = 3cmSubstituting the given values into the formula:
[tex]\sf \implies volume=2\times 1 \frac14 \times 3[/tex]
Converting to improper fractions:
[tex]\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31[/tex]
[tex]\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}[/tex]
[tex]\sf =\dfrac{30}{4}[/tex]
Dividing the numerator and denominator by the highest common factor:
[tex]\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}[/tex]
[tex]\sf =\dfrac{15}{2}[/tex]
Converting the improper fraction into a mixed number:
[tex]\sf \implies volume=7 \frac12 \ cm^3[/tex]
What information is included in this loan agreement that would NOT be included if Ron had gotten a loan from a bank or credit union?
Answers
on a coordinate plane, the endpoints of line segment JL are
J(-6,-4) and L(6,8). Point K lies on line segment JL and divides it into two
line segments such that the ratio of JK to KL is 5:1. What are the
coordinates of point K?*
Answers
Answer: (4,6)
Step-by-step explanation:
We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.
The change in x is 12, and the change in y is 12.
This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.
This means that to find K, we can subtract one of these displacements from point L.
This means that K has coordinates (6-2, 8-2)=(4,6)
Determine the length of a chord whose central angle is 90 degrees in a circle with a radius of 15 inches
Answers
Answer:
14.6
Step-by-step explanation:
Kindly solve this question
Answers
Answer:
x=-1/7
Step-by-step explanation:
[tex]\frac{3x-1}{3} -\frac{2x}{x-1} =x[/tex]
[tex]\frac{(3x-1)(x-1)}{3x-3} -\frac{2x(3)}{3x-3} =x[/tex]
[tex]\frac{3x^2-4x+1}{3x-3} -\frac{6x}{3x-3} =x[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =x[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =\frac{x(3x-3)}{3x-3}[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =\frac{3x^2-3x}{3x-3}[/tex]
[tex]3x^2-10x+1=3x^2-3x[/tex]
[tex]-10x+1=-3x[/tex]
[tex]-7x=1[/tex]
[tex]x=-1/7[/tex]
PLEASE HELP!! Need by 3/29/22!
Find the area of these shapes
Answers
Answer:
Step-by-step explanation:
area of A=15*18=270 cm^2
area of B=15*18=270 cm^2
area of C=1/2 ×x×18=9x cm²
area of D=1/2×15×18=135 cm²
Bobby has 58 of a pepperoni pizza in his refrigerator. He eats 14 of this for his lunch. Of the following, which is the best estimate of the fraction of the original pizza left after Bob's lunch?
Answers
Answer:
5/32
Step-by-step explanation:
log2^2-log2^16 what is the answer
Answers
Answer:
-4.1-4.1212
Step-by-step explanation:
Log2^2-log 2^16
log2^2/2^16
log2^2-16
log2^-14
-14log2
-14×0.3010
-4.1-4.1214
Simplify: 14-30/ 2 (- 4)
Thanks! :)
Answers
Answer:
The answer is 2
-16/-8=2
Charmaine got a prepaid debit card with $15 on it. for her first purchase with the card, she bought some bulk ribbon at a craft store. the price of the ribbon was 21 cents per yard. if after that purchase there was $12.27 left on the card, how many yards of ribbon did charmaine buy?
Answers
Answer:
15- 12.27 = 2.73
2.73 is how much she spent on the ribbon.
2.73/ 0.21 = 13
She purchased 13 yards.
A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
Answers
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.
How to determine the circumference of the base of a silo
The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:
Volume
V = (π/3) · R² · h (1)
Circumference
s = 2π · R (2)
Where:
R - Radius of the base, in feeth - Height of the silo, in feetIf we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:
[tex]R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }[/tex]
[tex]R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }[/tex]
R ≈ 4.583 ft
s = 2π · (4.583 ft)
s ≈ 28.796 ft
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. [tex]\blacksquare[/tex]
RemarkThe statement is complete, complete form is introduced below:
A farmer plans to buid the small silo to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
Please help! will give brainlest! locks in 30 min!
Answers
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Simplify the expression:
sin [tex]\frac{3pi}{4}[/tex]
Rewrite the angle as a sum or difference with its reference angle:
sin (pi - [tex]\frac{pi}{4}[/tex])
Simplify the expression
(sin [tex]\frac{pi}{4}[/tex])
Evaluate the expression:
[tex]\frac{\sqrt{2} }{2}[/tex]
hope this helps and is right!! p.s. i really need brainliest :)
The box-and-whisker plot below represents some data set. What is the minimum value of the data?
Answers
Answer:
minimum value is: the left whisker
Step-by-step explanation:
box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.
Hope this helps
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.
Answers
The surface area of the box is 1048 square inches
How to calculate the total surface area of the boxThe formula for calculating the surface area of the prism is expressed as:
Surface area = 2(lw + wh +lh)
Given the following
l = 20in
w = 8in
h = 13in
Substitute the given parameters'
Surface area = 2(lw + wh +lh)
Surface area = 2(20(8) + 8(13) +20(13))
Surface area = 2(160+104+260)
Surface area = 1048 square inches
Hence surface area of the box is 1048 square inches
Learn more on surface area of box here: https://brainly.com/question/26161002