error uses 1/3 of wet dog food for his dog Muddy,each day. how many servings will he get from 5 cans of dog food.?

GEOMETRY HELP!

tigry1 [53]

Answer:

1. Length of BC = 35

2. SU = 3.5

3. AC = 50 inches

4.

Part 1: AB = 10 cm

Part 2: AD = 2 cm

5. Width of River AB = 145.45 ft

Step-by-step explanation:

1.

The length of BC is (x+4)+(2x+1) = 3x+5

Now, if we figure out x, we can plug that in and find length of BC.

Using similarity with the two triangles shown, we can set-up the ratio as:

$\frac{8}{12}=\frac{x+4}{2x+1}$

Now, cross multiplying and solving for x:

$\frac{8}{12}=\frac{x+4}{2x+1}\\8(2x+1)=12(x+4)\\16x+8=12x+48\\4x=40\\x=\frac{40}{4}=10$

Now plugging in x=10 into 3x+5, we have 3(10)+5 = 35

Length of BC = 35

2.

Using pythagorean theorem in triangle PQT, we can solve for QT.

$(\sqrt{2})^2+(\sqrt{2})^2=QT^2\\2+2=QT^2\\4=QT^2\\QT=\sqrt{4}=2$

QT = RS = 2

Now using pythagorean theorem on Triangle RSU, we can solve for SU. So:

$RS^2+SU^2=RU^2\\2^2+SU^2=4^2\\SU^2=4^2-2^2\\SU^2=12\\SU=\sqrt{12}=3.5$

SU = 3.5

3.

If we draw a straight line as Segment AC, we have a right triangle with both legs measuring 30 and 40 inches, respectively. AC is the hypotenuse. Using pythagorean theorem, we can find out AC:

$AB^2+BC^2=AC^2\\30^2+40^2=AC^2\\2500=AC^2\\AC=\sqrt{2500}=50$

Thus AC = 50 inches

4.

AB:

We can set-up a similarity ratio to solve for AB. We can write:

$\frac{12}{20}=\frac{6}{AB}$

Now, cross multiplying, we can solve for AB:

$\frac{12}{20}=\frac{6}{AB}\\12AB=6*20\\12AB=120\\AB=\frac{120}{12}=10$

Thus, AB = 10 cm

AD:

We know, AB = BF + FD + DA

We also know, FD = 6, AB = 10 and BF & DA are same. So we can write DA in place of BF and solve. Thus:

$AB = BF + FD + DA\\10=AD+6+AD\\10-6=2AD\\4=2AD\\AD=2$

Thus, AD = 2 cm

5.

A single piece of information is missing from this problem. They have given DE = 32 ft.

Now, we see that triangle EDC is similar to triangle ABC, so their corresponding sides are proportional. Thus we can set-up a ratio as:

$\frac{DC}{BC}=\frac{DE}{BA}$

Now we can put the information we know and solve for AB, the width of the river.

$\frac{DC}{BC}=\frac{DE}{BA}\\\frac{22}{100}=\frac{32}{AB}\\22AB=32*100\\22AB=3200\\AB=\frac{3200}{22}=145.45$

Width of River AB = 145.45 ft

5 0

3 years ago

H(t) = −t2 + t + 1 h(−1)

Gwar [14]

Based on the given parameters, the value of the function h(-1) is -1

<h3>How to evaluate the function?</h3>

The equation of the function is given as:

h(t) =-t^2 + t + 1

The function is given as:

h(-1)

This means that t = -1

So, we substitute t = -1 in the equation h(t) =-t^2 + t + 1

h(-1) =-(-1)^2 + (-1) + 1

Evaluate the exponent

h(-1) =-1 - 1 + 1

Evaluate the like terms

h(-1) = -1

Hence, the value of the function h(-1) is -1

Read more about functions at:

brainly.com/question/1415456

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Complete question

Consider the following function definition, and calculate the value of the function

h(t) = −t2 + t + 1 h(−1)

6 0

2 years ago

What volume error (in mL, round to the nearest tenth) would occur in the measuring of 4 mL of a liquid ingredient if the imprope

zmey [24]

Answer:

0.5 mL

Step-by-step explanation:

If the device wasn't properly calibrated, in volume the number can be estimated with a 3 rule:

100%------4mL

12%-------x=12*4/100=0.48≈0.5mL rounding to the nearest tenth

3 0

3 years ago

8)Solve and rewrite using the distributive property __(__+__) = 12 +24

Alla [95]

The distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .

The distributive law of multiplication over basic arithmetic such as addition and subtraction is known as distributive property .

According to this property , multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the no . and then adding the products together .

In other words, according to the distributive property, an expression of the form A ( B + C ) can be solved as A ( B + C ) = AB + AC.

2 ( 6 + 12 ) = 12 + 24 .

Hence , the distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .

To know more on distributive property follow link :

brainly.com/question/2807928

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6 0

1 year ago

Ax-by=c I need help solving this problem

telo118 [61]

Solving for x.
Add by to both sides
Ax=c+by
Divide both sides by a
x=c+by
-------
a

6 0

3 years ago