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2 years ago

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Evaluate the expression

1 answer:

mylen [45]2 years ago

8 0

Answer:

tudieudurur UK eudjdjdiendhdududjdjjdjddjudidd

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Triangle XYZ has coordinates X(2, 4), Y(−3, 4), and Z(−3, 1). If the triangle is translated using the rule (x, y) → (x − 2, y +

Crank

<span>Y(−3, 4) is the original

</span><span>(x, y) → (x − 2, y + 1) is the rule you're using

(-3, 4) </span>→ (-3 - 2, 4 + 1)

(-3, 4) → (-5, 5)

<span>Y'(–5, 5)</span>

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2 years ago

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An envelope measures 8 inches by 15 inches. A pencil is placed in

Oliga [24]

The length of the pencil would be 17. This could be easily found by using a^2 + b^2 = c^2. Please mark me brainliest it would be pretty cash money of you

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2 years ago

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Find the percent of increase or decrease? 2.5y to 1.5y

horsena [70]

Answer:

From 2.5 y to 1.5 y there is a 40 % DECREASE in the value.

Step-by-step explanation:

Here, the initial value = 2.5 y

The final value of 1.5 y

Now,as Final Value < Initial Value

So, there is a DECREASE IN THE VALUE.

Now, decrease in the value = Initial value - Final Value

= 2.5 y = 1.5 y = 1 y

or, there is a decrease of ( 1 y) in the given value.

Now, Percentage decrease in the value is given as:

$\textrm{Percentage Decrease} = \frac{\textrm{The decrease in the value}}{\textrm{The initial Value}} \times 100\\ = \frac{1 y}{2.5 y} \times 100 = 40$

or, Percentage Decrease = 40%

Hence, from 2.5y to 1.5y there is a 40 % DECREASE in the value.

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2 years ago

Find the product of 5.21 and 3.4

SIZIF [17.4K]

Step-by-step explanation:

5.21× 3.4 = 17.714

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1 year ago

Triangle ABC is given where m(angle)A=33 degrees, a=15 in., and the height, h, is 9 in. How many distinct triangles can be made

4vir4ik [10]

Answer:

One triangle

Step-by-step explanation:

Find the measures of the triangle ABC

Let

D ----> intersection point of the height triangle ABC with the segment AB

step 1

Find the measure of angle B

In the right triangle BCD

$sin(B)=\frac{CD}{BC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(B)=\frac{9}{15}$

using a calculator

$B=sin^{-1}(\frac{9}{15})=36.9^o$

step 2

Find the length of segment DB in the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute

$15^2=9^2+DB^2$

$DB^2=15^2-9^2$

$DB^2=144\\DB=12\ in$

step 3

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$A+B+C=180^o$

substitute the given values

$33^o+36.9^o+C=180^o$

$C=180^o-69.9^o=110.1^o$

step 4

Find the length side AC

In the right triangle ACD

$sin(A)=\frac{CD}{AC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(33^o)=\frac{9}{AC}$

solve for AC

$AC=\frac{9}{sin(33^o)}=16.5\ in$

step 5

Find the length of segment AD

In the right triangle ACD

$tan(A)=\frac{CD}{AD}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(33^o)=\frac{9}{AD}$

$AD=\frac{9}{tan(33^o}}=13.9\ in$

step 6

Find the length side AB

$AB=AD+DB$

substitute the given values

$AB=13.9+12=25.9\ in$

step 7

The measures of triangle ABC are

$A=33^o\\B=36.9^o\\C=110.1^o\\AC=16.5\ in\\CB=15\ in\\AB=25.9\ in$

so

The measurements of the ABC triangle are unique

therefore

Only one triangle can be constructed with the given measurements

8 0

2 years ago