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Rudik [331]
2 years ago
11

Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. If Har

per’s current location is 3 inches from home on the same map, how far is Harper from home?
Mathematics
1 answer:
AlexFokin [52]2 years ago
4 0

Answer:

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:

<u> (50)(36)=1800in</u>

2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:

<u> (1800)(3in)/24in=158.82</u>

3. If you can to express it in yards:

<u> 158.82/36=4.41yd</u>

<h2><u>Therefore, the answer is: 158.82 inches or 4.41 yards.</u></h2>
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Pollution Rates Assignment
stepan [7]

Answer:

1. a) 4.8 lb

I) 8%

II) 0.384 lb

2. a) 12.5 lb

I) 8%

II) 1 lb

Step-by-step explanation:

Let's begin by listing out the given variables:

mass of pesticide (m) = 12 lb,

40WP (40 weight percent) means the active ingredient comprises 40% of the total mass of the pesticide

a) amount of active ingredient = mass of the pesticide * weight percentage of the active ingredient

x = 12 * 40% = 12 * 0.4

x = 4.8 lb

I. If the soil has an absorption rate of 92%, that means 8% will go into the run-off

The percentage of active ingredient that will end up in the run-off = the percentage of the active ingredient (100%) - the absorption rate

y = (100 - 92)%

y = 8%

II. amount of of active ingredient that will end up in the run-off = amount of active ingredient * the percentage of active ingredient that will end up in the run-off

z = x * y = 4.8 * 8% = 4.8 * 0.08

z = 0.384 lb

2. Let's list out the variables given, we have:

mass of pesticide = 25 lb, weight percent of active ingredient = 50% = 0.5

amount of active ingredient = mass of the pesticide * weight percentage of the active ingredient

x = 25 * 0.5

x = 12.5 lb

I. If the soil has an absorption rate of 92%, that means 8% will go into the run-off

The percentage of active ingredient that will end up in the run-off = the percentage of the active ingredient (100%) - the absorption rate

y = (100 - 92)%

y = 8%

II. amount of of active ingredient that will end up in the run-off = amount of active ingredient * the percentage of active ingredient that will end up in the run-off

z = x * y = 12.5 * 8% = 12.5 * 0.08

z = 1 lb

7 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures in.
Zigmanuir [339]

Answer:

2in

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve -4x+2&gt;26<br><br> A. x &gt; -6<br><br> B. x &gt; 6<br><br> C. x &lt; 6<br><br> D. x &lt; -6
NikAS [45]

Answer:

D

Step-by-step explanation:

-4 * -6 is -34

add 2 and you have -24

6 0
3 years ago
Find center and radius<br> (x-3)^2+y^2=8
Flauer [41]

Answer:

<h2>Center: (3, 0)</h2><h2>Radius: 2√2</h2>

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the equation:

(x-3)^2+y^2=8\to(x-3)^2+(y-0)^2=(\sqrt8)^2

Therefore

the center: (3,\ 0)

the radius: r=\sqrt8\to r=\sqrt{4\cdot2}\to r=\sqrt4\cdot\sqrt2\to r=2\sqrt2

4 0
3 years ago
For each pair of triangles,tell:(a) are they congruent(b)write the triangle congruency statement.(c) Give the postulate that mak
pychu [463]
All right...before we begin, let's lay some ground rules about the postulate your teacher asks for in every problem. <em>If you already know what they are, skip this paragraph...</em>

A postulate is a statement that claims how the triangles are congruent from looking at the paper. For example, on number 2 we have three sides of the triangle so we would use the postulate SSS (side, side, side). However, number one we would use SAS (side, angle, side) because we see the angle square showing it is a 90-degree angle.
Let's begin! (I haven't done triangles in a while so I apologize in advance if some of my answers might be incorrect on the congruent (yes or no) part of it.)

1.
A) From a visual perspective, we can see the triangles are congruent.
B) ABE = CDE because they are the corresponding points.
C) We can use SAS for the postulate.

2.
A) Yes, they are congruent.
B) OLE = OVE
C) We can use SSS for their postulate.

3.
A) Yes, they are congruent.
B) AWT = ERT
C) We can use SAS for the postulate.

4.
A) I believe the triangles are congruent. You might want to check me on that.
B) GFE = FGH
C) SSS

5.
A) They are congruent because if IH bisects it, it is directly in the middle. So, we know that WH = HS and IH = IH (duh.) and their angles match.
B) WHI = SHI
C) SAS

6.
A) This one is intriguing because it would state above the shape "LE bisects LGUE." I'm going to take that it isn't exactly in the middle, but I am still going to say it is congruent.
B) LGE = EUL
C) ASA

7.
A) Yes, they are definitely congruent.
B) RTU = TRS
C) SSS (We have nothing that indicates angles.)

8.
A) Yes, they are congruent.
B) YWV = VZY
C) We can use SAS. (Might want to check that one.)

9.
A) I would say this one is NOT congruent.
B) There are only two points. One way is HT = MA
C) They are not congruent, you can not use a postulate. However, if you teacher insists on putting one, I would use SAS.

Once again, I would be careful about my answers. I haven't worked with triangles in a few years. If my math is incorrect, or I didn't give the answer you were looking for, please let me know. However, if my math is on point, please consider marking as <em>Brainliest</em>.

Have a good one.
God Bless.
7 0
3 years ago
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